Zadaci I -

Zadaci I

Svojstva tečnog stanjanapon pare tačka ključanja

ravnoteža fazakoligativne osobine

Opšti kurs fizičke hemije 2

Zadatak 1

Odrediti maksimalni broj stepeni slobode u sistemu koji

sadrži tri komponente

Zadatak 1



Rešenje

C = 3 P = 1 F = C-P+2 = 4

Zadatak 2

Odrediti maksimalni broj faza koje se mogu naći u

ravnoteži u sistemu koji sadrži vodu i šećer

Zadatak 2



Rešenje

C = 2 P = 0 = 2-P+2 P = 4

Zadatak 3

Koliko komponenata faza i stepeni slobode ima u

ravnotežnim sistemima

a) CaCO3(č)=CaO(č)+CO2(g)

b) N2O4(g)=2NO2(g)

Zadatak 3




b) N2O4(g)=2NO2(g)

Rešenje

a) C = 2 P = 3 F = C-P+2 = 1b) C = 1 P = 1 F = C-P+2= 2

Zadatak 4

U sistemu koji se sastoji od vodenog rastvora etanola u

ravnoteži sa komadima leda odrediti broj faza (P) broj

komponenata (C) i broj stepeni slobode (F)

Zadatak 4




Rešenje

P = 2 (led i rastvor)C = 2 (voda i etanol)F = C-P+1 = 1 (temperatura)

Zadatak 5

Na sledećem faznom dijagramu koji je iskaz pogrešan

a) Tačka A odgovara koegzistenciji čvrste i tečne faze

b) Tačka B odgovara kritičnoj tački

c) Tačka D odgovara koegzistenciji tri faze u ravnoteži

d) Kretanje od E do C izaziva kondenzaciju

e) Gustina čvrste faze je manja od gustine tečne faze

Zadatak 5

P

AB

C

D E

T







Rešenje

Zadatak 6

Da li su sledeće tvrdnje tačne ili pogrešne

a) u jednokomponentnim sistemima maksimalni broj

faza u ravnoteži je 3

b) jednačina dpdT=Hm(TVm) je egzaktna

c) jednačina d lnpdT=Hm(RT2) je egzaktna

d) kada su u jednokomponentnom sistemu tri faze u ravnoteži tada jedna faza mora da bude u gasovitom jedna u tečnom a jedna u čvrstom stanju

e) u jednokomponentnom sistemu u trojnoj tački je napon pare tečnosti jednak naponu pare čvrste supstancije

Rešenje

a) tačno

b) tačno

c) pogrešno

d) pogrešno

e) tačno

Zadatak 7

Sistem sadrži komponente A i B Razmotriti fazni

dijagram (tečno-para) na slici i odgovoriti na pitanja

T

0 1

I

II

III

xB

a) Koja je komponenta isparljivija

b) Oblast I sadrži

c) Oblast II sadrži

d) Oblast III sadrži

e) Skicirati zavisnost p=f(x) na jednoj temperaturi

a) Koja je komponenta isparljivija A

b) Oblast I sadrži paru

c) Oblast II sadrži tečnost i paru

d) Oblast III sadrži tečnost


Rešenje

0 1xB

P

t

p

p+t

Zadatak 8

Komponente A i B grade neidealan tečan rastvor čiji

fazni dijagram je prikazan na slici Ako je ukupan sastav

sistema određen tačkom S koje faze su prisutne u

sistemu i koji je njihov sastav Ako je ukupna masa

sistema 900 g kolika masa čiste komponente B može da

se dobije destilacijom

Rešenje

900

08 02

05 05

Proizvod destilacije su azeotropna smeša mase i ista

te komponenta B mase

Nakon destilacije komponenta B je prisutna kao ista

komponenta ali i u sklopu

na

t tB Ap pB A

a

B

a B B a

m g

x x

x x

a m

m

m m m m m mč

č č

č

č

č

azeotropne smeše (molski udeo B

u azeotropnoj smeši iznosi 04 a u celom sistemu 06)

0 4 06

300a B

B

m m m

m gč

č

Zadatak 9

Da li su iskazi tačni ili pogrešni Možda je jedan od njih

tačan a jedan pogrešan Pretpostavimo da je rastvor

nezasićen

a) Na konstantnim T i p dodatak rastvorka čistom rastvaraču uvek snižava A

b) Na konstantnim T i p dodatak rastvorka rastvoru uvek snižava A

Rešenje

a) Na konstantnim T i p dodatak rastvorka čistom rastvaraču uvek snižava A Tačno

b) Na konstantnim T i p dodatak rastvorka rastvoru uvek snižava A Tačno

Zadatak 10Napon pare žive na 20C iznosi 160 mPa Koliko iznosi

napon pare žive na 50C ako je entalpija isparavanja

5930 kJmol

Rešenje

( )

Pap

KmolKJ

molJPap

TTR

H

p

p

RT

H

dT

pd

molkJH

pKT

mPapKT

isp

isp

isp

531

15293

1

15323

1

3148

59300exp160

11ln

ln

359

15323

16015293

2

1

2

121

2

2

22

11

=

minusminus=

minus

minus=

=

=

==

==

minus

Zadatak 11Normalna tačka ključanja piridina je 114oC Izračunati ili

proceniti sa objašnjenjem

a) toplotu isparavanja piridina

b) tačku ključanja na vrhu planine gde je pritisak 740 mmHg

Rešenje

a) Trutonovo pravilo

b)

molkJH

TRTSH

isp

ispispispisp

8033

510

=

=

KT

H

p

pR

TT

H

p

pR

TT

TTR

H

p

p

RT

H

dT

pd

ispisp

ispisp

386

ln1

1

ln11

11ln

ln

2

1

2

1

21

2

12

121

2

2

=

minus=rarr

minus=minus

minus

minus=rarr

=

Zadatak 12Entalpija isparavanja neke tečnosti je 144 kJmol na

180 K njenoj Tntk Molarna zapremina njene pare je 145

Lmol a tečnosti 115 cm3mol na tački ključanja

Odrediti dpdT iz Klapejronove jednačine i proceniti

procenat greške vrednosti dpdT kada se određuje iz

Klauzijus-Klapejronove jednačine

Rešenje

( )

( )( )

52

100425565565

4251803148

10132510414

565

1011510514180

10414

115514

180414

211

3

2

363

3

3

=

=minus

=

=

=

=

minus

=

=

=

==

==

minusminus

minusminus

x

x

KkPaKKJmol

PamolJ

RT

pH

dT

dp

KkPadT

dp

mK

molJ

VT

H

V

S

dT

dp

molcmVmolLV

KTmolkJH

isp

isp

isp

isp

isp

t

m

p

m

ntkisp

Zadatak 13Napon pare etilena je dat kao funkcija temperature (K)

sledećom jednačinom

Izračunati entalpiju isparavanja etilena na njegovoj

normalnoj tački ključanja od -1039oC

13

23032103758

751138343032ln minusminus minus+

= KTT

K

dT

pd

molkJH

KTT

KRTH

KTT

K

RT

H

RT

H

dT

pd

KT

KTdT

pd

isp

isp

isp

isp

8413

3032103758751138343032

3032103758751138343032

ln

3032103758751138343032ln

13

2

2

13

22

2

13

2

=

minus+

=

minus+

=

=

minus+

=

minusminus

minusminus

minusminus

Rešenje

Zadatak 14

Napon pare uzorka benzena od 500 g na 606oC je

iznosio 5333 kPa ali se smanjio na 5146 kPa kada je

0125 g nepoznatog organskog jedinjenja rastvoreno u

njemu Izračunati molarnu masu nepoznatog organskog

jedinjenja

molgM

xn

m

n

mM

xnn

nn

nx

molMmn

xpxp

MmolgM

gmgm

kPapkPap

8553

11

11

0640

9650

1178

1250005

46513353

2

1

1

2

2

22

1

12

21

11

111

1

0

111

21

21

1

0

1

=

minus

==

minus=

+=

==

==

==

==

==

Rešenje

Zadatak 15

Razmotriti fazni dijagram na slici i odgovoriti na pitanja

C

D

E

A B

a) Šta predstavlja ovaj fazni dijagram

b) Oblast I sadrži



e) Oblast IV sadrži

f) Oblast V sadrži

g) Oblast VI sadrži

h) Oblast VII sadrži

i) Broj eutektičkih tački je

j) Tačka D je

k) Formula nagrađenog jedinjenja je

a) Šta predstavlja ovaj fazni dijagram Ravnotežu komponenti A i B

i jedinjenja sa kongruentnom tačkom topljenja

b) Oblast I sadrži čvrsto A i čvrsto jedinjenje

c) Oblast II sadrži čvrsto A i tečnu smešu

d) Oblast III sadrži čvrsto jedinjenje i tečnu smešu

e) Oblast IV sadrži čvrsto jedinjenje i čvrsto B

f) Oblast V sadrži čvrsto jedinjenje i tečnu smešu

g) Oblast VI sadrži čvrsto B i tečnu smešu

h) Oblast VII sadrži tečnu smešu

i) Broj eutektičkih tački je dve C i E

j) Tačka D je kongruentna tačka topljenja jedinjenja

k) Formula nagrađenog jedinjenja je A2B

Rešenje

Zadatak 16



b) Oblast I sadrži




f) Oblast V sadrži


h) Formula nagrađenog jedinjenja je


i jedinjenja sa nekongruentnom tačkom topljenja


c) Oblast II sadrži čvrsto B i čvrsto jedinjenje

d) Oblast III sadrži čvrsto A i tečnu smešu

e) Oblast IV sadrži čvrsto jedinjenje i tečnu smešu

f) Oblast V sadrži čvrsto B i tečnu smešu

g) Oblast VI sadrži tečnu smešu

h) Formula nagrađenog jedinjenja je AB2

Rešenje

Zadatak 17

Za so MX i njene hidrate označiti sve faze i navesti sve

fazne transformacije pri izotermskom isparavanju na

30oC rastvora sastava A do suva

1

2

3

4

5

6

7

8

9

10

H2O MX6H2O MX3H2O MXH2O MX

A

1 Rastvor

2 Led+rastvor

3 Led+MX6H2O(č)

4 MX 6H2O(č)+rastvor


6 MX 6H2O(č)+MX 3H2O(č)


8 MX H2O(č)+MX 3H2O(č)

9 MX H2O(č)+rastvor

10 MX H2O(č)+MX (č)

Rešenje

1

2

3

4

5

6

7

8

9

10


a b c d e f

A

Rešenje

Zadatak 18


a) Fazni dijagram na slici predstavlja

b) Sastav nagrađenog jedinjenja je

c) Obeležiti pojedine faze

d) Obeležiti i očitati temperature topljenja i eutektičke tačke

a) Fazni dijagram na slici predstavlja ravnotežu Sn Mg i jedinjenja sa kongruentnom tačkom topljenja

b) Sastav nagrađenog jedinjenja je Mg2Sn



Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19

Na faznom dijagramu za TiO2 i MnO obeležiti faze

označiti tačke topljenja i eutektičke tačke

47

Rešenje

Zadatak 20

Ukupni sastav eutektičkog sistema koji čine

komponente A i B određen je tačkom S na slici Koje

faze su prisutne u sistemu i koji je njihov sastav Ako je

ukupna masa sistema 300 g izračunati koliko grama

čiste komponente B može da se dobije hlađenjem do

eutektičke temperature

300

Ta

Primena pravila poluge na ta ku M

042

02 je masa iste komponente B je masa eutekt

ka S ista komponenta B i rastvor sastava 0 4 06

i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21

Ako 01 g nepoznatog čistog proteina rastvorenog u 50 g

vode snizi tačku mržnjenja vode za 0000267 K naći

molarnu masu proteina (u gmol) Pretpostaviti da se

rastvor ponaša idealno Krioskopska konstanta vode

iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22

Temperatura topljenja cikloheksana C6H12 iznosi 647C

a njegova toplota topljenja na ovoj temperaturi iznosi

313 Jg Čemu je jednaka temperatura topljenja

rastvora napravljenog rastvaranjem 226 mg pentana

C5H12 u 1645 g cikloheksana

( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23

U trokomponentnom sistemu čiji je fazni dijagram

prikazan na slici krive označavaju

ab -sastav rastvora presićenog sa NaCl

bc- sastav rastvora presićenog sa Na2SO4

dc- sastav rastvora presićenog sa Na2SO410H2O

Obeležiti faze u pojedinim oblastima

Objasniti šta se događa pri potpunoj dehidrataciji na

25oC sa sistemima označenim tačkama 1 i 2

Rešenje

NaCl

Na2SO410H2O Na2SO4H2O

a

b

c

d

Rešenje

NaCl(s) + l

Na2SO410H2O(s) + lNa2SO410H2O(s) + Na2SO4(s) + l

Na2SO4(s) + l

Na2SO4(s) + NaCl(s) + l

l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24

Na slici je prikazan fazni dijagram sistema koji čine

komponente A B i C

a) Koji je sastav sistema prikazanog tačkom M

b) Ukoliko su u sistemu prisutne samo komponente B i C istih molskih udela koje faze su prisutne u sistemu i koji je njihov sastav

c) Rastvoru koji sadrži 15 mol komponente A i 15 mol komponente B dodato je 2 mol komponente C Koje faze su prisutne u sistemu i koji je njihov sastav

Zadatak 24

M

A

B C

a)

b)

Prisutne su dve faze rastvor C u B sastava 7 C i 93

B kao i rastvor B u C sastava 12 B i 88 C

c)

Stanje sistema prikazano je tačkom N Prisustne su dve

faze rastvor C u B sastava 29 A 61 B i 10 C kao i

rastvor B u C sastava 32 A 20 B i 48 C

301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25

110 g belančevine se rastvori u 100 g vode na 20C

Osmotski pritisak iznosi 396 Pa Kolika je molarna masa

belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26

Tečnosti A i B grade idealan rastvor Ako rastvor sadrži

25 mol A a para u ravnoteži sa rastvorom na 25oC

sadrži 50 mol A izračunati odnos napona pare čistih

komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27

Napon pare čiste tečnosti A na 300 K je 7666 kPa a

čiste tečnosti B je 5200 kPa Ova dva jedinjenja grade

idealnu smešu u tečnom i parnom stanju Razmotriti

ravnotežni sastav smeše u kojoj je molska frakcija

komponente A u pari 035 Izračunati ukupni pritisak (u

Pa) i sastav tečne faze

( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28

125 rastvor supstancije nepoznate molarne mase u

benzenu kao rastvaraču ima napon pare 7524 mmHg na

80oC i tačku ključanja 8025oC Normalna tačka

ključanja benzena je 8000oC Izračunati molarnu masu

rastvorka i specifičnu toplotu isparavanja benzena

Molarna masa benzena iznosi 78 gmol

Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29

Sniženje temperature mržnjenja prouzrokovano

rastvaranjem 216 g sumpora u 100 g rastvarača iznosilo

je 058 K Kad se 312 g joda rastvorilo u 100 g istog

rastvarača sniženje temperature mržnjenja je iznosilo

085 K Ukoliko znamo da je jod prisutan u tom

rastvaraču u molekulskom obliku I2 odrediti molekulski

oblik sumpora (AI = 1269 gmol AS = 32gmol)

832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30

Rastvorena supstancija se raspodeljuje između vode

i hloroforma Koeficijent raspodele iznosi 15

Pretpostavimo da iz 0050 M vodenog rastvora

zapremine 50 ml ekstrahujemo rastvorenu supstanciju

Koliku zapreminu hloroforma treba koristiti da bi se u

jednom koraku ekstrhovalo 999 rastvorene

supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31

Dva vodena rastvora uree imaju osmotske pritiske 24

atm i 46 atm na izvesnoj temperaturi Koliki je osmotski

pritisak rastvora pripremljenog mešanjem jednakih

zapremina ova dva rastvora na istoj temperaturi

Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32

Tečnosti A i B grade idealan rastvor Na 50oC napon

pare rastvora koji se sastoji od 1 mola supstancije A i 2

mola supstancije B iznosi 250 mmHg Napon pare

rastvora koji sadrži 2 mola supstancije A i 2 mola

supstancije B iznosi 300 mmHg Izračunati pAo i pB

o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33

Posmatrajmo dva rastvora komponenti A i B Prvi rastvor

sadrži 1 mol A i 3 mola B a ukupni pritisak izbosi 1 atm

Drugi rastvor sadrži 2 mola A i 2 mola B njegov napon

pare je veći od 1 atm ali može biti smanjen do 1 atm

ukoliko se u rastvoru nalazi i 6 molova C Napon pare

čistog C iznosi 08 atm Izračunati napona pare čistih

komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34

Osmotski pritisak vodenog rastvora uree na 300 K iznosi

120 kPa Izračunati temperaturu mržnjenja ovog

rastvora (kf = 186Kkgmol)

( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35

Napravljen je rastvor rastvaranjem 123 g fulerena (C60)

u 100 g toluena (C6H5CH3) Ako znate da na 30oC napon

pare čistog toluena izbosi 500 kPa čemu je jednak

napon pare toluena nad rastvorom

kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Zadatak 1



Zadatak 1



Rešenje

C = 3 P = 1 F = C-P+2 = 4

Zadatak 2



Zadatak 2



Rešenje

C = 2 P = 0 = 2-P+2 P = 4

Zadatak 3




b) N2O4(g)=2NO2(g)

Zadatak 3




b) N2O4(g)=2NO2(g)

Rešenje

a) C = 2 P = 3 F = C-P+2 = 1b) C = 1 P = 1 F = C-P+2= 2

Zadatak 4




Zadatak 4




Rešenje


Zadatak 5







Zadatak 5

P

AB

C

D E

T







Rešenje

Zadatak 6








Rešenje

a) tačno

b) tačno

c) pogrešno

d) pogrešno

e) tačno

Zadatak 7



T

0 1

I

II

III

xB


b) Oblast I sadrži









Rešenje

0 1xB

P

t

p

p+t

Zadatak 8







Rešenje

900

08 02

05 05





na

t tB Ap pB A

a

B

a B B a

m g

x x

x x

a m

m

m m m m m mč

č č

č

č

č



0 4 06

300a B

B

m m m

m gč

č

Zadatak 9



nezasićen



Rešenje





5930 kJmol

Rešenje

( )

Pap

KmolKJ

molJPap

TTR

H

p

p

RT

H

dT

pd

molkJH

pKT

mPapKT

isp

isp

isp

531

15293

1

15323

1

3148

59300exp160

11ln

ln

359

15323

16015293

2

1

2

121

2

2

22

11

=

minusminus=

minus

minus=

=

=

==

==

minus





Rešenje


b)

molkJH

TRTSH

isp

ispispispisp

8033

510

=

=

KT

H

p

pR

TT

H

p

pR

TT

TTR

H

p

p

RT

H

dT

pd

ispisp

ispisp

386

ln1

1

ln11

11ln

ln

2

1

2

1

21

2

12

121

2

2

=

minus=rarr

minus=minus

minus

minus=rarr

=







Rešenje

( )

( )( )

52

100425565565

4251803148

10132510414

565

1011510514180

10414

115514

180414

211

3

2

363

3

3

=

=minus

=

=

=

=

minus

=

=

=

==

==

minusminus

minusminus

x

x

KkPaKKJmol

PamolJ

RT

pH

dT

dp

KkPadT

dp

mK

molJ

VT

H

V

S

dT

dp

molcmVmolLV

KTmolkJH

isp

isp

isp

isp

isp

t

m

p

m

ntkisp





13

23032103758


= KTT

K

dT

pd

molkJH

KTT

KRTH

KTT

K

RT

H

RT

H

dT

pd

KT

KTdT

pd

isp

isp

isp

isp

8413

3032103758751138343032

3032103758751138343032

ln

3032103758751138343032ln

13

2

2

13

22

2

13

2

=

minus+

=

minus+

=

=

minus+

=

minusminus

minusminus

minusminus

Rešenje

Zadatak 14





jedinjenja

molgM

xn

m

n

mM

xnn

nn

nx

molMmn

xpxp

MmolgM

gmgm

kPapkPap

8553

11

11

0640

9650

1178

1250005

46513353

2

1

1

2

2

22

1

12

21

11

111

1

0

111

21

21

1

0

1

=

minus

==

minus=

+=

==

==

==

==

==

Rešenje

Zadatak 15


C

D

E

A B


b) Oblast I sadrži




f) Oblast V sadrži




j) Tačka D je














Rešenje

Zadatak 16



b) Oblast I sadrži




f) Oblast V sadrži












Rešenje

Zadatak 17




1

2

3

4

5

6

7

8

9

10


A

1 Rastvor

2 Led+rastvor

3 Led+MX6H2O(č)








Rešenje

1

2

3

4

5

6

7

8

9

10


a b c d e f

A

Rešenje

Zadatak 18










Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Zadatak 1



Rešenje

C = 3 P = 1 F = C-P+2 = 4

Zadatak 2



Zadatak 2



Rešenje

C = 2 P = 0 = 2-P+2 P = 4

Zadatak 3




b) N2O4(g)=2NO2(g)

Zadatak 3




b) N2O4(g)=2NO2(g)

Rešenje

a) C = 2 P = 3 F = C-P+2 = 1b) C = 1 P = 1 F = C-P+2= 2

Zadatak 4




Zadatak 4




Rešenje


Zadatak 5







Zadatak 5

P

AB

C

D E

T







Rešenje

Zadatak 6








Rešenje

a) tačno

b) tačno

c) pogrešno

d) pogrešno

e) tačno

Zadatak 7



T

0 1

I

II

III

xB


b) Oblast I sadrži









Rešenje

0 1xB

P

t

p

p+t

Zadatak 8







Rešenje

900

08 02

05 05





na

t tB Ap pB A

a

B

a B B a

m g

x x

x x

a m

m

m m m m m mč

č č

č

č

č



0 4 06

300a B

B

m m m

m gč

č

Zadatak 9



nezasićen



Rešenje





5930 kJmol

Rešenje

( )

Pap

KmolKJ

molJPap

TTR

H

p

p

RT

H

dT

pd

molkJH

pKT

mPapKT

isp

isp

isp

531

15293

1

15323

1

3148

59300exp160

11ln

ln

359

15323

16015293

2

1

2

121

2

2

22

11

=

minusminus=

minus

minus=

=

=

==

==

minus





Rešenje


b)

molkJH

TRTSH

isp

ispispispisp

8033

510

=

=

KT

H

p

pR

TT

H

p

pR

TT

TTR

H

p

p

RT

H

dT

pd

ispisp

ispisp

386

ln1

1

ln11

11ln

ln

2

1

2

1

21

2

12

121

2

2

=

minus=rarr

minus=minus

minus

minus=rarr

=







Rešenje

( )

( )( )

52

100425565565

4251803148

10132510414

565

1011510514180

10414

115514

180414

211

3

2

363

3

3

=

=minus

=

=

=

=

minus

=

=

=

==

==

minusminus

minusminus

x

x

KkPaKKJmol

PamolJ

RT

pH

dT

dp

KkPadT

dp

mK

molJ

VT

H

V

S

dT

dp

molcmVmolLV

KTmolkJH

isp

isp

isp

isp

isp

t

m

p

m

ntkisp





13

23032103758


= KTT

K

dT

pd

molkJH

KTT

KRTH

KTT

K

RT

H

RT

H

dT

pd

KT

KTdT

pd

isp

isp

isp

isp

8413

3032103758751138343032

3032103758751138343032

ln

3032103758751138343032ln

13

2

2

13

22

2

13

2

=

minus+

=

minus+

=

=

minus+

=

minusminus

minusminus

minusminus

Rešenje

Zadatak 14





jedinjenja

molgM

xn

m

n

mM

xnn

nn

nx

molMmn

xpxp

MmolgM

gmgm

kPapkPap

8553

11

11

0640

9650

1178

1250005

46513353

2

1

1

2

2

22

1

12

21

11

111

1

0

111

21

21

1

0

1

=

minus

==

minus=

+=

==

==

==

==

==

Rešenje

Zadatak 15


C

D

E

A B


b) Oblast I sadrži




f) Oblast V sadrži




j) Tačka D je














Rešenje

Zadatak 16



b) Oblast I sadrži




f) Oblast V sadrži












Rešenje

Zadatak 17




1

2

3

4

5

6

7

8

9

10


A

1 Rastvor

2 Led+rastvor

3 Led+MX6H2O(č)








Rešenje

1

2

3

4

5

6

7

8

9

10


a b c d e f

A

Rešenje

Zadatak 18










Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Zadatak 2



Zadatak 2



Rešenje

C = 2 P = 0 = 2-P+2 P = 4

Zadatak 3




b) N2O4(g)=2NO2(g)

Zadatak 3




b) N2O4(g)=2NO2(g)

Rešenje

a) C = 2 P = 3 F = C-P+2 = 1b) C = 1 P = 1 F = C-P+2= 2

Zadatak 4




Zadatak 4




Rešenje


Zadatak 5







Zadatak 5

P

AB

C

D E

T







Rešenje

Zadatak 6








Rešenje

a) tačno

b) tačno

c) pogrešno

d) pogrešno

e) tačno

Zadatak 7



T

0 1

I

II

III

xB


b) Oblast I sadrži









Rešenje

0 1xB

P

t

p

p+t

Zadatak 8







Rešenje

900

08 02

05 05





na

t tB Ap pB A

a

B

a B B a

m g

x x

x x

a m

m

m m m m m mč

č č

č

č

č



0 4 06

300a B

B

m m m

m gč

č

Zadatak 9



nezasićen



Rešenje





5930 kJmol

Rešenje

( )

Pap

KmolKJ

molJPap

TTR

H

p

p

RT

H

dT

pd

molkJH

pKT

mPapKT

isp

isp

isp

531

15293

1

15323

1

3148

59300exp160

11ln

ln

359

15323

16015293

2

1

2

121

2

2

22

11

=

minusminus=

minus

minus=

=

=

==

==

minus





Rešenje


b)

molkJH

TRTSH

isp

ispispispisp

8033

510

=

=

KT

H

p

pR

TT

H

p

pR

TT

TTR

H

p

p

RT

H

dT

pd

ispisp

ispisp

386

ln1

1

ln11

11ln

ln

2

1

2

1

21

2

12

121

2

2

=

minus=rarr

minus=minus

minus

minus=rarr

=







Rešenje

( )

( )( )

52

100425565565

4251803148

10132510414

565

1011510514180

10414

115514

180414

211

3

2

363

3

3

=

=minus

=

=

=

=

minus

=

=

=

==

==

minusminus

minusminus

x

x

KkPaKKJmol

PamolJ

RT

pH

dT

dp

KkPadT

dp

mK

molJ

VT

H

V

S

dT

dp

molcmVmolLV

KTmolkJH

isp

isp

isp

isp

isp

t

m

p

m

ntkisp





13

23032103758


= KTT

K

dT

pd

molkJH

KTT

KRTH

KTT

K

RT

H

RT

H

dT

pd

KT

KTdT

pd

isp

isp

isp

isp

8413

3032103758751138343032

3032103758751138343032

ln

3032103758751138343032ln

13

2

2

13

22

2

13

2

=

minus+

=

minus+

=

=

minus+

=

minusminus

minusminus

minusminus

Rešenje

Zadatak 14





jedinjenja

molgM

xn

m

n

mM

xnn

nn

nx

molMmn

xpxp

MmolgM

gmgm

kPapkPap

8553

11

11

0640

9650

1178

1250005

46513353

2

1

1

2

2

22

1

12

21

11

111

1

0

111

21

21

1

0

1

=

minus

==

minus=

+=

==

==

==

==

==

Rešenje

Zadatak 15


C

D

E

A B


b) Oblast I sadrži




f) Oblast V sadrži




j) Tačka D je














Rešenje

Zadatak 16



b) Oblast I sadrži




f) Oblast V sadrži












Rešenje

Zadatak 17




1

2

3

4

5

6

7

8

9

10


A

1 Rastvor

2 Led+rastvor

3 Led+MX6H2O(č)








Rešenje

1

2

3

4

5

6

7

8

9

10


a b c d e f

A

Rešenje

Zadatak 18










Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Zadatak 2



Rešenje

C = 2 P = 0 = 2-P+2 P = 4

Zadatak 3




b) N2O4(g)=2NO2(g)

Zadatak 3




b) N2O4(g)=2NO2(g)

Rešenje

a) C = 2 P = 3 F = C-P+2 = 1b) C = 1 P = 1 F = C-P+2= 2

Zadatak 4




Zadatak 4




Rešenje


Zadatak 5







Zadatak 5

P

AB

C

D E

T







Rešenje

Zadatak 6








Rešenje

a) tačno

b) tačno

c) pogrešno

d) pogrešno

e) tačno

Zadatak 7



T

0 1

I

II

III

xB


b) Oblast I sadrži









Rešenje

0 1xB

P

t

p

p+t

Zadatak 8







Rešenje

900

08 02

05 05





na

t tB Ap pB A

a

B

a B B a

m g

x x

x x

a m

m

m m m m m mč

č č

č

č

č



0 4 06

300a B

B

m m m

m gč

č

Zadatak 9



nezasićen



Rešenje





5930 kJmol

Rešenje

( )

Pap

KmolKJ

molJPap

TTR

H

p

p

RT

H

dT

pd

molkJH

pKT

mPapKT

isp

isp

isp

531

15293

1

15323

1

3148

59300exp160

11ln

ln

359

15323

16015293

2

1

2

121

2

2

22

11

=

minusminus=

minus

minus=

=

=

==

==

minus





Rešenje


b)

molkJH

TRTSH

isp

ispispispisp

8033

510

=

=

KT

H

p

pR

TT

H

p

pR

TT

TTR

H

p

p

RT

H

dT

pd

ispisp

ispisp

386

ln1

1

ln11

11ln

ln

2

1

2

1

21

2

12

121

2

2

=

minus=rarr

minus=minus

minus

minus=rarr

=







Rešenje

( )

( )( )

52

100425565565

4251803148

10132510414

565

1011510514180

10414

115514

180414

211

3

2

363

3

3

=

=minus

=

=

=

=

minus

=

=

=

==

==

minusminus

minusminus

x

x

KkPaKKJmol

PamolJ

RT

pH

dT

dp

KkPadT

dp

mK

molJ

VT

H

V

S

dT

dp

molcmVmolLV

KTmolkJH

isp

isp

isp

isp

isp

t

m

p

m

ntkisp





13

23032103758


= KTT

K

dT

pd

molkJH

KTT

KRTH

KTT

K

RT

H

RT

H

dT

pd

KT

KTdT

pd

isp

isp

isp

isp

8413

3032103758751138343032

3032103758751138343032

ln

3032103758751138343032ln

13

2

2

13

22

2

13

2

=

minus+

=

minus+

=

=

minus+

=

minusminus

minusminus

minusminus

Rešenje

Zadatak 14





jedinjenja

molgM

xn

m

n

mM

xnn

nn

nx

molMmn

xpxp

MmolgM

gmgm

kPapkPap

8553

11

11

0640

9650

1178

1250005

46513353

2

1

1

2

2

22

1

12

21

11

111

1

0

111

21

21

1

0

1

=

minus

==

minus=

+=

==

==

==

==

==

Rešenje

Zadatak 15


C

D

E

A B


b) Oblast I sadrži




f) Oblast V sadrži




j) Tačka D je














Rešenje

Zadatak 16



b) Oblast I sadrži




f) Oblast V sadrži












Rešenje

Zadatak 17




1

2

3

4

5

6

7

8

9

10


A

1 Rastvor

2 Led+rastvor

3 Led+MX6H2O(č)








Rešenje

1

2

3

4

5

6

7

8

9

10


a b c d e f

A

Rešenje

Zadatak 18










Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Zadatak 3




b) N2O4(g)=2NO2(g)

Zadatak 3




b) N2O4(g)=2NO2(g)

Rešenje

a) C = 2 P = 3 F = C-P+2 = 1b) C = 1 P = 1 F = C-P+2= 2

Zadatak 4




Zadatak 4




Rešenje


Zadatak 5







Zadatak 5

P

AB

C

D E

T







Rešenje

Zadatak 6








Rešenje

a) tačno

b) tačno

c) pogrešno

d) pogrešno

e) tačno

Zadatak 7



T

0 1

I

II

III

xB


b) Oblast I sadrži









Rešenje

0 1xB

P

t

p

p+t

Zadatak 8







Rešenje

900

08 02

05 05





na

t tB Ap pB A

a

B

a B B a

m g

x x

x x

a m

m

m m m m m mč

č č

č

č

č



0 4 06

300a B

B

m m m

m gč

č

Zadatak 9



nezasićen



Rešenje





5930 kJmol

Rešenje

( )

Pap

KmolKJ

molJPap

TTR

H

p

p

RT

H

dT

pd

molkJH

pKT

mPapKT

isp

isp

isp

531

15293

1

15323

1

3148

59300exp160

11ln

ln

359

15323

16015293

2

1

2

121

2

2

22

11

=

minusminus=

minus

minus=

=

=

==

==

minus





Rešenje


b)

molkJH

TRTSH

isp

ispispispisp

8033

510

=

=

KT

H

p

pR

TT

H

p

pR

TT

TTR

H

p

p

RT

H

dT

pd

ispisp

ispisp

386

ln1

1

ln11

11ln

ln

2

1

2

1

21

2

12

121

2

2

=

minus=rarr

minus=minus

minus

minus=rarr

=







Rešenje

( )

( )( )

52

100425565565

4251803148

10132510414

565

1011510514180

10414

115514

180414

211

3

2

363

3

3

=

=minus

=

=

=

=

minus

=

=

=

==

==

minusminus

minusminus

x

x

KkPaKKJmol

PamolJ

RT

pH

dT

dp

KkPadT

dp

mK

molJ

VT

H

V

S

dT

dp

molcmVmolLV

KTmolkJH

isp

isp

isp

isp

isp

t

m

p

m

ntkisp





13

23032103758


= KTT

K

dT

pd

molkJH

KTT

KRTH

KTT

K

RT

H

RT

H

dT

pd

KT

KTdT

pd

isp

isp

isp

isp

8413

3032103758751138343032

3032103758751138343032

ln

3032103758751138343032ln

13

2

2

13

22

2

13

2

=

minus+

=

minus+

=

=

minus+

=

minusminus

minusminus

minusminus

Rešenje

Zadatak 14





jedinjenja

molgM

xn

m

n

mM

xnn

nn

nx

molMmn

xpxp

MmolgM

gmgm

kPapkPap

8553

11

11

0640

9650

1178

1250005

46513353

2

1

1

2

2

22

1

12

21

11

111

1

0

111

21

21

1

0

1

=

minus

==

minus=

+=

==

==

==

==

==

Rešenje

Zadatak 15


C

D

E

A B


b) Oblast I sadrži




f) Oblast V sadrži




j) Tačka D je














Rešenje

Zadatak 16



b) Oblast I sadrži




f) Oblast V sadrži












Rešenje

Zadatak 17




1

2

3

4

5

6

7

8

9

10


A

1 Rastvor

2 Led+rastvor

3 Led+MX6H2O(č)








Rešenje

1

2

3

4

5

6

7

8

9

10


a b c d e f

A

Rešenje

Zadatak 18










Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Zadatak 3




b) N2O4(g)=2NO2(g)

Rešenje

a) C = 2 P = 3 F = C-P+2 = 1b) C = 1 P = 1 F = C-P+2= 2

Zadatak 4




Zadatak 4




Rešenje


Zadatak 5







Zadatak 5

P

AB

C

D E

T







Rešenje

Zadatak 6








Rešenje

a) tačno

b) tačno

c) pogrešno

d) pogrešno

e) tačno

Zadatak 7



T

0 1

I

II

III

xB


b) Oblast I sadrži









Rešenje

0 1xB

P

t

p

p+t

Zadatak 8







Rešenje

900

08 02

05 05





na

t tB Ap pB A

a

B

a B B a

m g

x x

x x

a m

m

m m m m m mč

č č

č

č

č



0 4 06

300a B

B

m m m

m gč

č

Zadatak 9



nezasićen



Rešenje





5930 kJmol

Rešenje

( )

Pap

KmolKJ

molJPap

TTR

H

p

p

RT

H

dT

pd

molkJH

pKT

mPapKT

isp

isp

isp

531

15293

1

15323

1

3148

59300exp160

11ln

ln

359

15323

16015293

2

1

2

121

2

2

22

11

=

minusminus=

minus

minus=

=

=

==

==

minus





Rešenje


b)

molkJH

TRTSH

isp

ispispispisp

8033

510

=

=

KT

H

p

pR

TT

H

p

pR

TT

TTR

H

p

p

RT

H

dT

pd

ispisp

ispisp

386

ln1

1

ln11

11ln

ln

2

1

2

1

21

2

12

121

2

2

=

minus=rarr

minus=minus

minus

minus=rarr

=







Rešenje

( )

( )( )

52

100425565565

4251803148

10132510414

565

1011510514180

10414

115514

180414

211

3

2

363

3

3

=

=minus

=

=

=

=

minus

=

=

=

==

==

minusminus

minusminus

x

x

KkPaKKJmol

PamolJ

RT

pH

dT

dp

KkPadT

dp

mK

molJ

VT

H

V

S

dT

dp

molcmVmolLV

KTmolkJH

isp

isp

isp

isp

isp

t

m

p

m

ntkisp





13

23032103758


= KTT

K

dT

pd

molkJH

KTT

KRTH

KTT

K

RT

H

RT

H

dT

pd

KT

KTdT

pd

isp

isp

isp

isp

8413

3032103758751138343032

3032103758751138343032

ln

3032103758751138343032ln

13

2

2

13

22

2

13

2

=

minus+

=

minus+

=

=

minus+

=

minusminus

minusminus

minusminus

Rešenje

Zadatak 14





jedinjenja

molgM

xn

m

n

mM

xnn

nn

nx

molMmn

xpxp

MmolgM

gmgm

kPapkPap

8553

11

11

0640

9650

1178

1250005

46513353

2

1

1

2

2

22

1

12

21

11

111

1

0

111

21

21

1

0

1

=

minus

==

minus=

+=

==

==

==

==

==

Rešenje

Zadatak 15


C

D

E

A B


b) Oblast I sadrži




f) Oblast V sadrži




j) Tačka D je














Rešenje

Zadatak 16



b) Oblast I sadrži




f) Oblast V sadrži












Rešenje

Zadatak 17




1

2

3

4

5

6

7

8

9

10


A

1 Rastvor

2 Led+rastvor

3 Led+MX6H2O(č)








Rešenje

1

2

3

4

5

6

7

8

9

10


a b c d e f

A

Rešenje

Zadatak 18










Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Zadatak 4




Zadatak 4




Rešenje


Zadatak 5







Zadatak 5

P

AB

C

D E

T







Rešenje

Zadatak 6








Rešenje

a) tačno

b) tačno

c) pogrešno

d) pogrešno

e) tačno

Zadatak 7



T

0 1

I

II

III

xB


b) Oblast I sadrži









Rešenje

0 1xB

P

t

p

p+t

Zadatak 8







Rešenje

900

08 02

05 05





na

t tB Ap pB A

a

B

a B B a

m g

x x

x x

a m

m

m m m m m mč

č č

č

č

č



0 4 06

300a B

B

m m m

m gč

č

Zadatak 9



nezasićen



Rešenje





5930 kJmol

Rešenje

( )

Pap

KmolKJ

molJPap

TTR

H

p

p

RT

H

dT

pd

molkJH

pKT

mPapKT

isp

isp

isp

531

15293

1

15323

1

3148

59300exp160

11ln

ln

359

15323

16015293

2

1

2

121

2

2

22

11

=

minusminus=

minus

minus=

=

=

==

==

minus





Rešenje


b)

molkJH

TRTSH

isp

ispispispisp

8033

510

=

=

KT

H

p

pR

TT

H

p

pR

TT

TTR

H

p

p

RT

H

dT

pd

ispisp

ispisp

386

ln1

1

ln11

11ln

ln

2

1

2

1

21

2

12

121

2

2

=

minus=rarr

minus=minus

minus

minus=rarr

=







Rešenje

( )

( )( )

52

100425565565

4251803148

10132510414

565

1011510514180

10414

115514

180414

211

3

2

363

3

3

=

=minus

=

=

=

=

minus

=

=

=

==

==

minusminus

minusminus

x

x

KkPaKKJmol

PamolJ

RT

pH

dT

dp

KkPadT

dp

mK

molJ

VT

H

V

S

dT

dp

molcmVmolLV

KTmolkJH

isp

isp

isp

isp

isp

t

m

p

m

ntkisp





13

23032103758


= KTT

K

dT

pd

molkJH

KTT

KRTH

KTT

K

RT

H

RT

H

dT

pd

KT

KTdT

pd

isp

isp

isp

isp

8413

3032103758751138343032

3032103758751138343032

ln

3032103758751138343032ln

13

2

2

13

22

2

13

2

=

minus+

=

minus+

=

=

minus+

=

minusminus

minusminus

minusminus

Rešenje

Zadatak 14





jedinjenja

molgM

xn

m

n

mM

xnn

nn

nx

molMmn

xpxp

MmolgM

gmgm

kPapkPap

8553

11

11

0640

9650

1178

1250005

46513353

2

1

1

2

2

22

1

12

21

11

111

1

0

111

21

21

1

0

1

=

minus

==

minus=

+=

==

==

==

==

==

Rešenje

Zadatak 15


C

D

E

A B


b) Oblast I sadrži




f) Oblast V sadrži




j) Tačka D je














Rešenje

Zadatak 16



b) Oblast I sadrži




f) Oblast V sadrži












Rešenje

Zadatak 17




1

2

3

4

5

6

7

8

9

10


A

1 Rastvor

2 Led+rastvor

3 Led+MX6H2O(č)








Rešenje

1

2

3

4

5

6

7

8

9

10


a b c d e f

A

Rešenje

Zadatak 18










Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Zadatak 4




Rešenje


Zadatak 5







Zadatak 5

P

AB

C

D E

T







Rešenje

Zadatak 6








Rešenje

a) tačno

b) tačno

c) pogrešno

d) pogrešno

e) tačno

Zadatak 7



T

0 1

I

II

III

xB


b) Oblast I sadrži









Rešenje

0 1xB

P

t

p

p+t

Zadatak 8







Rešenje

900

08 02

05 05





na

t tB Ap pB A

a

B

a B B a

m g

x x

x x

a m

m

m m m m m mč

č č

č

č

č



0 4 06

300a B

B

m m m

m gč

č

Zadatak 9



nezasićen



Rešenje





5930 kJmol

Rešenje

( )

Pap

KmolKJ

molJPap

TTR

H

p

p

RT

H

dT

pd

molkJH

pKT

mPapKT

isp

isp

isp

531

15293

1

15323

1

3148

59300exp160

11ln

ln

359

15323

16015293

2

1

2

121

2

2

22

11

=

minusminus=

minus

minus=

=

=

==

==

minus





Rešenje


b)

molkJH

TRTSH

isp

ispispispisp

8033

510

=

=

KT

H

p

pR

TT

H

p

pR

TT

TTR

H

p

p

RT

H

dT

pd

ispisp

ispisp

386

ln1

1

ln11

11ln

ln

2

1

2

1

21

2

12

121

2

2

=

minus=rarr

minus=minus

minus

minus=rarr

=







Rešenje

( )

( )( )

52

100425565565

4251803148

10132510414

565

1011510514180

10414

115514

180414

211

3

2

363

3

3

=

=minus

=

=

=

=

minus

=

=

=

==

==

minusminus

minusminus

x

x

KkPaKKJmol

PamolJ

RT

pH

dT

dp

KkPadT

dp

mK

molJ

VT

H

V

S

dT

dp

molcmVmolLV

KTmolkJH

isp

isp

isp

isp

isp

t

m

p

m

ntkisp





13

23032103758


= KTT

K

dT

pd

molkJH

KTT

KRTH

KTT

K

RT

H

RT

H

dT

pd

KT

KTdT

pd

isp

isp

isp

isp

8413

3032103758751138343032

3032103758751138343032

ln

3032103758751138343032ln

13

2

2

13

22

2

13

2

=

minus+

=

minus+

=

=

minus+

=

minusminus

minusminus

minusminus

Rešenje

Zadatak 14





jedinjenja

molgM

xn

m

n

mM

xnn

nn

nx

molMmn

xpxp

MmolgM

gmgm

kPapkPap

8553

11

11

0640

9650

1178

1250005

46513353

2

1

1

2

2

22

1

12

21

11

111

1

0

111

21

21

1

0

1

=

minus

==

minus=

+=

==

==

==

==

==

Rešenje

Zadatak 15


C

D

E

A B


b) Oblast I sadrži




f) Oblast V sadrži




j) Tačka D je














Rešenje

Zadatak 16



b) Oblast I sadrži




f) Oblast V sadrži












Rešenje

Zadatak 17




1

2

3

4

5

6

7

8

9

10


A

1 Rastvor

2 Led+rastvor

3 Led+MX6H2O(č)








Rešenje

1

2

3

4

5

6

7

8

9

10


a b c d e f

A

Rešenje

Zadatak 18










Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Zadatak 5







Zadatak 5

P

AB

C

D E

T







Rešenje

Zadatak 6








Rešenje

a) tačno

b) tačno

c) pogrešno

d) pogrešno

e) tačno

Zadatak 7



T

0 1

I

II

III

xB


b) Oblast I sadrži









Rešenje

0 1xB

P

t

p

p+t

Zadatak 8







Rešenje

900

08 02

05 05





na

t tB Ap pB A

a

B

a B B a

m g

x x

x x

a m

m

m m m m m mč

č č

č

č

č



0 4 06

300a B

B

m m m

m gč

č

Zadatak 9



nezasićen



Rešenje





5930 kJmol

Rešenje

( )

Pap

KmolKJ

molJPap

TTR

H

p

p

RT

H

dT

pd

molkJH

pKT

mPapKT

isp

isp

isp

531

15293

1

15323

1

3148

59300exp160

11ln

ln

359

15323

16015293

2

1

2

121

2

2

22

11

=

minusminus=

minus

minus=

=

=

==

==

minus





Rešenje


b)

molkJH

TRTSH

isp

ispispispisp

8033

510

=

=

KT

H

p

pR

TT

H

p

pR

TT

TTR

H

p

p

RT

H

dT

pd

ispisp

ispisp

386

ln1

1

ln11

11ln

ln

2

1

2

1

21

2

12

121

2

2

=

minus=rarr

minus=minus

minus

minus=rarr

=







Rešenje

( )

( )( )

52

100425565565

4251803148

10132510414

565

1011510514180

10414

115514

180414

211

3

2

363

3

3

=

=minus

=

=

=

=

minus

=

=

=

==

==

minusminus

minusminus

x

x

KkPaKKJmol

PamolJ

RT

pH

dT

dp

KkPadT

dp

mK

molJ

VT

H

V

S

dT

dp

molcmVmolLV

KTmolkJH

isp

isp

isp

isp

isp

t

m

p

m

ntkisp





13

23032103758


= KTT

K

dT

pd

molkJH

KTT

KRTH

KTT

K

RT

H

RT

H

dT

pd

KT

KTdT

pd

isp

isp

isp

isp

8413

3032103758751138343032

3032103758751138343032

ln

3032103758751138343032ln

13

2

2

13

22

2

13

2

=

minus+

=

minus+

=

=

minus+

=

minusminus

minusminus

minusminus

Rešenje

Zadatak 14





jedinjenja

molgM

xn

m

n

mM

xnn

nn

nx

molMmn

xpxp

MmolgM

gmgm

kPapkPap

8553

11

11

0640

9650

1178

1250005

46513353

2

1

1

2

2

22

1

12

21

11

111

1

0

111

21

21

1

0

1

=

minus

==

minus=

+=

==

==

==

==

==

Rešenje

Zadatak 15


C

D

E

A B


b) Oblast I sadrži




f) Oblast V sadrži




j) Tačka D je














Rešenje

Zadatak 16



b) Oblast I sadrži




f) Oblast V sadrži












Rešenje

Zadatak 17




1

2

3

4

5

6

7

8

9

10


A

1 Rastvor

2 Led+rastvor

3 Led+MX6H2O(č)








Rešenje

1

2

3

4

5

6

7

8

9

10


a b c d e f

A

Rešenje

Zadatak 18










Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Zadatak 5

P

AB

C

D E

T







Rešenje

Zadatak 6








Rešenje

a) tačno

b) tačno

c) pogrešno

d) pogrešno

e) tačno

Zadatak 7



T

0 1

I

II

III

xB


b) Oblast I sadrži









Rešenje

0 1xB

P

t

p

p+t

Zadatak 8







Rešenje

900

08 02

05 05





na

t tB Ap pB A

a

B

a B B a

m g

x x

x x

a m

m

m m m m m mč

č č

č

č

č



0 4 06

300a B

B

m m m

m gč

č

Zadatak 9



nezasićen



Rešenje





5930 kJmol

Rešenje

( )

Pap

KmolKJ

molJPap

TTR

H

p

p

RT

H

dT

pd

molkJH

pKT

mPapKT

isp

isp

isp

531

15293

1

15323

1

3148

59300exp160

11ln

ln

359

15323

16015293

2

1

2

121

2

2

22

11

=

minusminus=

minus

minus=

=

=

==

==

minus





Rešenje


b)

molkJH

TRTSH

isp

ispispispisp

8033

510

=

=

KT

H

p

pR

TT

H

p

pR

TT

TTR

H

p

p

RT

H

dT

pd

ispisp

ispisp

386

ln1

1

ln11

11ln

ln

2

1

2

1

21

2

12

121

2

2

=

minus=rarr

minus=minus

minus

minus=rarr

=







Rešenje

( )

( )( )

52

100425565565

4251803148

10132510414

565

1011510514180

10414

115514

180414

211

3

2

363

3

3

=

=minus

=

=

=

=

minus

=

=

=

==

==

minusminus

minusminus

x

x

KkPaKKJmol

PamolJ

RT

pH

dT

dp

KkPadT

dp

mK

molJ

VT

H

V

S

dT

dp

molcmVmolLV

KTmolkJH

isp

isp

isp

isp

isp

t

m

p

m

ntkisp





13

23032103758


= KTT

K

dT

pd

molkJH

KTT

KRTH

KTT

K

RT

H

RT

H

dT

pd

KT

KTdT

pd

isp

isp

isp

isp

8413

3032103758751138343032

3032103758751138343032

ln

3032103758751138343032ln

13

2

2

13

22

2

13

2

=

minus+

=

minus+

=

=

minus+

=

minusminus

minusminus

minusminus

Rešenje

Zadatak 14





jedinjenja

molgM

xn

m

n

mM

xnn

nn

nx

molMmn

xpxp

MmolgM

gmgm

kPapkPap

8553

11

11

0640

9650

1178

1250005

46513353

2

1

1

2

2

22

1

12

21

11

111

1

0

111

21

21

1

0

1

=

minus

==

minus=

+=

==

==

==

==

==

Rešenje

Zadatak 15


C

D

E

A B


b) Oblast I sadrži




f) Oblast V sadrži




j) Tačka D je














Rešenje

Zadatak 16



b) Oblast I sadrži




f) Oblast V sadrži












Rešenje

Zadatak 17




1

2

3

4

5

6

7

8

9

10


A

1 Rastvor

2 Led+rastvor

3 Led+MX6H2O(č)








Rešenje

1

2

3

4

5

6

7

8

9

10


a b c d e f

A

Rešenje

Zadatak 18










Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje







Rešenje

Zadatak 6








Rešenje

a) tačno

b) tačno

c) pogrešno

d) pogrešno

e) tačno

Zadatak 7



T

0 1

I

II

III

xB


b) Oblast I sadrži









Rešenje

0 1xB

P

t

p

p+t

Zadatak 8







Rešenje

900

08 02

05 05





na

t tB Ap pB A

a

B

a B B a

m g

x x

x x

a m

m

m m m m m mč

č č

č

č

č



0 4 06

300a B

B

m m m

m gč

č

Zadatak 9



nezasićen



Rešenje





5930 kJmol

Rešenje

( )

Pap

KmolKJ

molJPap

TTR

H

p

p

RT

H

dT

pd

molkJH

pKT

mPapKT

isp

isp

isp

531

15293

1

15323

1

3148

59300exp160

11ln

ln

359

15323

16015293

2

1

2

121

2

2

22

11

=

minusminus=

minus

minus=

=

=

==

==

minus





Rešenje


b)

molkJH

TRTSH

isp

ispispispisp

8033

510

=

=

KT

H

p

pR

TT

H

p

pR

TT

TTR

H

p

p

RT

H

dT

pd

ispisp

ispisp

386

ln1

1

ln11

11ln

ln

2

1

2

1

21

2

12

121

2

2

=

minus=rarr

minus=minus

minus

minus=rarr

=







Rešenje

( )

( )( )

52

100425565565

4251803148

10132510414

565

1011510514180

10414

115514

180414

211

3

2

363

3

3

=

=minus

=

=

=

=

minus

=

=

=

==

==

minusminus

minusminus

x

x

KkPaKKJmol

PamolJ

RT

pH

dT

dp

KkPadT

dp

mK

molJ

VT

H

V

S

dT

dp

molcmVmolLV

KTmolkJH

isp

isp

isp

isp

isp

t

m

p

m

ntkisp





13

23032103758


= KTT

K

dT

pd

molkJH

KTT

KRTH

KTT

K

RT

H

RT

H

dT

pd

KT

KTdT

pd

isp

isp

isp

isp

8413

3032103758751138343032

3032103758751138343032

ln

3032103758751138343032ln

13

2

2

13

22

2

13

2

=

minus+

=

minus+

=

=

minus+

=

minusminus

minusminus

minusminus

Rešenje

Zadatak 14





jedinjenja

molgM

xn

m

n

mM

xnn

nn

nx

molMmn

xpxp

MmolgM

gmgm

kPapkPap

8553

11

11

0640

9650

1178

1250005

46513353

2

1

1

2

2

22

1

12

21

11

111

1

0

111

21

21

1

0

1

=

minus

==

minus=

+=

==

==

==

==

==

Rešenje

Zadatak 15


C

D

E

A B


b) Oblast I sadrži




f) Oblast V sadrži




j) Tačka D je














Rešenje

Zadatak 16



b) Oblast I sadrži




f) Oblast V sadrži












Rešenje

Zadatak 17




1

2

3

4

5

6

7

8

9

10


A

1 Rastvor

2 Led+rastvor

3 Led+MX6H2O(č)








Rešenje

1

2

3

4

5

6

7

8

9

10


a b c d e f

A

Rešenje

Zadatak 18










Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Zadatak 6








Rešenje

a) tačno

b) tačno

c) pogrešno

d) pogrešno

e) tačno

Zadatak 7



T

0 1

I

II

III

xB


b) Oblast I sadrži









Rešenje

0 1xB

P

t

p

p+t

Zadatak 8







Rešenje

900

08 02

05 05





na

t tB Ap pB A

a

B

a B B a

m g

x x

x x

a m

m

m m m m m mč

č č

č

č

č



0 4 06

300a B

B

m m m

m gč

č

Zadatak 9



nezasićen



Rešenje





5930 kJmol

Rešenje

( )

Pap

KmolKJ

molJPap

TTR

H

p

p

RT

H

dT

pd

molkJH

pKT

mPapKT

isp

isp

isp

531

15293

1

15323

1

3148

59300exp160

11ln

ln

359

15323

16015293

2

1

2

121

2

2

22

11

=

minusminus=

minus

minus=

=

=

==

==

minus





Rešenje


b)

molkJH

TRTSH

isp

ispispispisp

8033

510

=

=

KT

H

p

pR

TT

H

p

pR

TT

TTR

H

p

p

RT

H

dT

pd

ispisp

ispisp

386

ln1

1

ln11

11ln

ln

2

1

2

1

21

2

12

121

2

2

=

minus=rarr

minus=minus

minus

minus=rarr

=







Rešenje

( )

( )( )

52

100425565565

4251803148

10132510414

565

1011510514180

10414

115514

180414

211

3

2

363

3

3

=

=minus

=

=

=

=

minus

=

=

=

==

==

minusminus

minusminus

x

x

KkPaKKJmol

PamolJ

RT

pH

dT

dp

KkPadT

dp

mK

molJ

VT

H

V

S

dT

dp

molcmVmolLV

KTmolkJH

isp

isp

isp

isp

isp

t

m

p

m

ntkisp





13

23032103758


= KTT

K

dT

pd

molkJH

KTT

KRTH

KTT

K

RT

H

RT

H

dT

pd

KT

KTdT

pd

isp

isp

isp

isp

8413

3032103758751138343032

3032103758751138343032

ln

3032103758751138343032ln

13

2

2

13

22

2

13

2

=

minus+

=

minus+

=

=

minus+

=

minusminus

minusminus

minusminus

Rešenje

Zadatak 14





jedinjenja

molgM

xn

m

n

mM

xnn

nn

nx

molMmn

xpxp

MmolgM

gmgm

kPapkPap

8553

11

11

0640

9650

1178

1250005

46513353

2

1

1

2

2

22

1

12

21

11

111

1

0

111

21

21

1

0

1

=

minus

==

minus=

+=

==

==

==

==

==

Rešenje

Zadatak 15


C

D

E

A B


b) Oblast I sadrži




f) Oblast V sadrži




j) Tačka D je














Rešenje

Zadatak 16



b) Oblast I sadrži




f) Oblast V sadrži












Rešenje

Zadatak 17




1

2

3

4

5

6

7

8

9

10


A

1 Rastvor

2 Led+rastvor

3 Led+MX6H2O(č)








Rešenje

1

2

3

4

5

6

7

8

9

10


a b c d e f

A

Rešenje

Zadatak 18










Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Rešenje

a) tačno

b) tačno

c) pogrešno

d) pogrešno

e) tačno

Zadatak 7



T

0 1

I

II

III

xB


b) Oblast I sadrži









Rešenje

0 1xB

P

t

p

p+t

Zadatak 8







Rešenje

900

08 02

05 05





na

t tB Ap pB A

a

B

a B B a

m g

x x

x x

a m

m

m m m m m mč

č č

č

č

č



0 4 06

300a B

B

m m m

m gč

č

Zadatak 9



nezasićen



Rešenje





5930 kJmol

Rešenje

( )

Pap

KmolKJ

molJPap

TTR

H

p

p

RT

H

dT

pd

molkJH

pKT

mPapKT

isp

isp

isp

531

15293

1

15323

1

3148

59300exp160

11ln

ln

359

15323

16015293

2

1

2

121

2

2

22

11

=

minusminus=

minus

minus=

=

=

==

==

minus





Rešenje


b)

molkJH

TRTSH

isp

ispispispisp

8033

510

=

=

KT

H

p

pR

TT

H

p

pR

TT

TTR

H

p

p

RT

H

dT

pd

ispisp

ispisp

386

ln1

1

ln11

11ln

ln

2

1

2

1

21

2

12

121

2

2

=

minus=rarr

minus=minus

minus

minus=rarr

=







Rešenje

( )

( )( )

52

100425565565

4251803148

10132510414

565

1011510514180

10414

115514

180414

211

3

2

363

3

3

=

=minus

=

=

=

=

minus

=

=

=

==

==

minusminus

minusminus

x

x

KkPaKKJmol

PamolJ

RT

pH

dT

dp

KkPadT

dp

mK

molJ

VT

H

V

S

dT

dp

molcmVmolLV

KTmolkJH

isp

isp

isp

isp

isp

t

m

p

m

ntkisp





13

23032103758


= KTT

K

dT

pd

molkJH

KTT

KRTH

KTT

K

RT

H

RT

H

dT

pd

KT

KTdT

pd

isp

isp

isp

isp

8413

3032103758751138343032

3032103758751138343032

ln

3032103758751138343032ln

13

2

2

13

22

2

13

2

=

minus+

=

minus+

=

=

minus+

=

minusminus

minusminus

minusminus

Rešenje

Zadatak 14





jedinjenja

molgM

xn

m

n

mM

xnn

nn

nx

molMmn

xpxp

MmolgM

gmgm

kPapkPap

8553

11

11

0640

9650

1178

1250005

46513353

2

1

1

2

2

22

1

12

21

11

111

1

0

111

21

21

1

0

1

=

minus

==

minus=

+=

==

==

==

==

==

Rešenje

Zadatak 15


C

D

E

A B


b) Oblast I sadrži




f) Oblast V sadrži




j) Tačka D je














Rešenje

Zadatak 16



b) Oblast I sadrži




f) Oblast V sadrži












Rešenje

Zadatak 17




1

2

3

4

5

6

7

8

9

10


A

1 Rastvor

2 Led+rastvor

3 Led+MX6H2O(č)








Rešenje

1

2

3

4

5

6

7

8

9

10


a b c d e f

A

Rešenje

Zadatak 18










Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Zadatak 7



T

0 1

I

II

III

xB


b) Oblast I sadrži









Rešenje

0 1xB

P

t

p

p+t

Zadatak 8







Rešenje

900

08 02

05 05





na

t tB Ap pB A

a

B

a B B a

m g

x x

x x

a m

m

m m m m m mč

č č

č

č

č



0 4 06

300a B

B

m m m

m gč

č

Zadatak 9



nezasićen



Rešenje





5930 kJmol

Rešenje

( )

Pap

KmolKJ

molJPap

TTR

H

p

p

RT

H

dT

pd

molkJH

pKT

mPapKT

isp

isp

isp

531

15293

1

15323

1

3148

59300exp160

11ln

ln

359

15323

16015293

2

1

2

121

2

2

22

11

=

minusminus=

minus

minus=

=

=

==

==

minus





Rešenje


b)

molkJH

TRTSH

isp

ispispispisp

8033

510

=

=

KT

H

p

pR

TT

H

p

pR

TT

TTR

H

p

p

RT

H

dT

pd

ispisp

ispisp

386

ln1

1

ln11

11ln

ln

2

1

2

1

21

2

12

121

2

2

=

minus=rarr

minus=minus

minus

minus=rarr

=







Rešenje

( )

( )( )

52

100425565565

4251803148

10132510414

565

1011510514180

10414

115514

180414

211

3

2

363

3

3

=

=minus

=

=

=

=

minus

=

=

=

==

==

minusminus

minusminus

x

x

KkPaKKJmol

PamolJ

RT

pH

dT

dp

KkPadT

dp

mK

molJ

VT

H

V

S

dT

dp

molcmVmolLV

KTmolkJH

isp

isp

isp

isp

isp

t

m

p

m

ntkisp





13

23032103758


= KTT

K

dT

pd

molkJH

KTT

KRTH

KTT

K

RT

H

RT

H

dT

pd

KT

KTdT

pd

isp

isp

isp

isp

8413

3032103758751138343032

3032103758751138343032

ln

3032103758751138343032ln

13

2

2

13

22

2

13

2

=

minus+

=

minus+

=

=

minus+

=

minusminus

minusminus

minusminus

Rešenje

Zadatak 14





jedinjenja

molgM

xn

m

n

mM

xnn

nn

nx

molMmn

xpxp

MmolgM

gmgm

kPapkPap

8553

11

11

0640

9650

1178

1250005

46513353

2

1

1

2

2

22

1

12

21

11

111

1

0

111

21

21

1

0

1

=

minus

==

minus=

+=

==

==

==

==

==

Rešenje

Zadatak 15


C

D

E

A B


b) Oblast I sadrži




f) Oblast V sadrži




j) Tačka D je














Rešenje

Zadatak 16



b) Oblast I sadrži




f) Oblast V sadrži












Rešenje

Zadatak 17




1

2

3

4

5

6

7

8

9

10


A

1 Rastvor

2 Led+rastvor

3 Led+MX6H2O(č)








Rešenje

1

2

3

4

5

6

7

8

9

10


a b c d e f

A

Rešenje

Zadatak 18










Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje


b) Oblast I sadrži









Rešenje

0 1xB

P

t

p

p+t

Zadatak 8







Rešenje

900

08 02

05 05





na

t tB Ap pB A

a

B

a B B a

m g

x x

x x

a m

m

m m m m m mč

č č

č

č

č



0 4 06

300a B

B

m m m

m gč

č

Zadatak 9



nezasićen



Rešenje





5930 kJmol

Rešenje

( )

Pap

KmolKJ

molJPap

TTR

H

p

p

RT

H

dT

pd

molkJH

pKT

mPapKT

isp

isp

isp

531

15293

1

15323

1

3148

59300exp160

11ln

ln

359

15323

16015293

2

1

2

121

2

2

22

11

=

minusminus=

minus

minus=

=

=

==

==

minus





Rešenje


b)

molkJH

TRTSH

isp

ispispispisp

8033

510

=

=

KT

H

p

pR

TT

H

p

pR

TT

TTR

H

p

p

RT

H

dT

pd

ispisp

ispisp

386

ln1

1

ln11

11ln

ln

2

1

2

1

21

2

12

121

2

2

=

minus=rarr

minus=minus

minus

minus=rarr

=







Rešenje

( )

( )( )

52

100425565565

4251803148

10132510414

565

1011510514180

10414

115514

180414

211

3

2

363

3

3

=

=minus

=

=

=

=

minus

=

=

=

==

==

minusminus

minusminus

x

x

KkPaKKJmol

PamolJ

RT

pH

dT

dp

KkPadT

dp

mK

molJ

VT

H

V

S

dT

dp

molcmVmolLV

KTmolkJH

isp

isp

isp

isp

isp

t

m

p

m

ntkisp





13

23032103758


= KTT

K

dT

pd

molkJH

KTT

KRTH

KTT

K

RT

H

RT

H

dT

pd

KT

KTdT

pd

isp

isp

isp

isp

8413

3032103758751138343032

3032103758751138343032

ln

3032103758751138343032ln

13

2

2

13

22

2

13

2

=

minus+

=

minus+

=

=

minus+

=

minusminus

minusminus

minusminus

Rešenje

Zadatak 14





jedinjenja

molgM

xn

m

n

mM

xnn

nn

nx

molMmn

xpxp

MmolgM

gmgm

kPapkPap

8553

11

11

0640

9650

1178

1250005

46513353

2

1

1

2

2

22

1

12

21

11

111

1

0

111

21

21

1

0

1

=

minus

==

minus=

+=

==

==

==

==

==

Rešenje

Zadatak 15


C

D

E

A B


b) Oblast I sadrži




f) Oblast V sadrži




j) Tačka D je














Rešenje

Zadatak 16



b) Oblast I sadrži




f) Oblast V sadrži












Rešenje

Zadatak 17




1

2

3

4

5

6

7

8

9

10


A

1 Rastvor

2 Led+rastvor

3 Led+MX6H2O(č)








Rešenje

1

2

3

4

5

6

7

8

9

10


a b c d e f

A

Rešenje

Zadatak 18










Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje






Rešenje

0 1xB

P

t

p

p+t

Zadatak 8







Rešenje

900

08 02

05 05





na

t tB Ap pB A

a

B

a B B a

m g

x x

x x

a m

m

m m m m m mč

č č

č

č

č



0 4 06

300a B

B

m m m

m gč

č

Zadatak 9



nezasićen



Rešenje





5930 kJmol

Rešenje

( )

Pap

KmolKJ

molJPap

TTR

H

p

p

RT

H

dT

pd

molkJH

pKT

mPapKT

isp

isp

isp

531

15293

1

15323

1

3148

59300exp160

11ln

ln

359

15323

16015293

2

1

2

121

2

2

22

11

=

minusminus=

minus

minus=

=

=

==

==

minus





Rešenje


b)

molkJH

TRTSH

isp

ispispispisp

8033

510

=

=

KT

H

p

pR

TT

H

p

pR

TT

TTR

H

p

p

RT

H

dT

pd

ispisp

ispisp

386

ln1

1

ln11

11ln

ln

2

1

2

1

21

2

12

121

2

2

=

minus=rarr

minus=minus

minus

minus=rarr

=







Rešenje

( )

( )( )

52

100425565565

4251803148

10132510414

565

1011510514180

10414

115514

180414

211

3

2

363

3

3

=

=minus

=

=

=

=

minus

=

=

=

==

==

minusminus

minusminus

x

x

KkPaKKJmol

PamolJ

RT

pH

dT

dp

KkPadT

dp

mK

molJ

VT

H

V

S

dT

dp

molcmVmolLV

KTmolkJH

isp

isp

isp

isp

isp

t

m

p

m

ntkisp





13

23032103758


= KTT

K

dT

pd

molkJH

KTT

KRTH

KTT

K

RT

H

RT

H

dT

pd

KT

KTdT

pd

isp

isp

isp

isp

8413

3032103758751138343032

3032103758751138343032

ln

3032103758751138343032ln

13

2

2

13

22

2

13

2

=

minus+

=

minus+

=

=

minus+

=

minusminus

minusminus

minusminus

Rešenje

Zadatak 14





jedinjenja

molgM

xn

m

n

mM

xnn

nn

nx

molMmn

xpxp

MmolgM

gmgm

kPapkPap

8553

11

11

0640

9650

1178

1250005

46513353

2

1

1

2

2

22

1

12

21

11

111

1

0

111

21

21

1

0

1

=

minus

==

minus=

+=

==

==

==

==

==

Rešenje

Zadatak 15


C

D

E

A B


b) Oblast I sadrži




f) Oblast V sadrži




j) Tačka D je














Rešenje

Zadatak 16



b) Oblast I sadrži




f) Oblast V sadrži












Rešenje

Zadatak 17




1

2

3

4

5

6

7

8

9

10


A

1 Rastvor

2 Led+rastvor

3 Led+MX6H2O(č)








Rešenje

1

2

3

4

5

6

7

8

9

10


a b c d e f

A

Rešenje

Zadatak 18










Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Zadatak 8







Rešenje

900

08 02

05 05





na

t tB Ap pB A

a

B

a B B a

m g

x x

x x

a m

m

m m m m m mč

č č

č

č

č



0 4 06

300a B

B

m m m

m gč

č

Zadatak 9



nezasićen



Rešenje





5930 kJmol

Rešenje

( )

Pap

KmolKJ

molJPap

TTR

H

p

p

RT

H

dT

pd

molkJH

pKT

mPapKT

isp

isp

isp

531

15293

1

15323

1

3148

59300exp160

11ln

ln

359

15323

16015293

2

1

2

121

2

2

22

11

=

minusminus=

minus

minus=

=

=

==

==

minus





Rešenje


b)

molkJH

TRTSH

isp

ispispispisp

8033

510

=

=

KT

H

p

pR

TT

H

p

pR

TT

TTR

H

p

p

RT

H

dT

pd

ispisp

ispisp

386

ln1

1

ln11

11ln

ln

2

1

2

1

21

2

12

121

2

2

=

minus=rarr

minus=minus

minus

minus=rarr

=







Rešenje

( )

( )( )

52

100425565565

4251803148

10132510414

565

1011510514180

10414

115514

180414

211

3

2

363

3

3

=

=minus

=

=

=

=

minus

=

=

=

==

==

minusminus

minusminus

x

x

KkPaKKJmol

PamolJ

RT

pH

dT

dp

KkPadT

dp

mK

molJ

VT

H

V

S

dT

dp

molcmVmolLV

KTmolkJH

isp

isp

isp

isp

isp

t

m

p

m

ntkisp





13

23032103758


= KTT

K

dT

pd

molkJH

KTT

KRTH

KTT

K

RT

H

RT

H

dT

pd

KT

KTdT

pd

isp

isp

isp

isp

8413

3032103758751138343032

3032103758751138343032

ln

3032103758751138343032ln

13

2

2

13

22

2

13

2

=

minus+

=

minus+

=

=

minus+

=

minusminus

minusminus

minusminus

Rešenje

Zadatak 14





jedinjenja

molgM

xn

m

n

mM

xnn

nn

nx

molMmn

xpxp

MmolgM

gmgm

kPapkPap

8553

11

11

0640

9650

1178

1250005

46513353

2

1

1

2

2

22

1

12

21

11

111

1

0

111

21

21

1

0

1

=

minus

==

minus=

+=

==

==

==

==

==

Rešenje

Zadatak 15


C

D

E

A B


b) Oblast I sadrži




f) Oblast V sadrži




j) Tačka D je














Rešenje

Zadatak 16



b) Oblast I sadrži




f) Oblast V sadrži












Rešenje

Zadatak 17




1

2

3

4

5

6

7

8

9

10


A

1 Rastvor

2 Led+rastvor

3 Led+MX6H2O(č)








Rešenje

1

2

3

4

5

6

7

8

9

10


a b c d e f

A

Rešenje

Zadatak 18










Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Rešenje

900

08 02

05 05





na

t tB Ap pB A

a

B

a B B a

m g

x x

x x

a m

m

m m m m m mč

č č

č

č

č



0 4 06

300a B

B

m m m

m gč

č

Zadatak 9



nezasićen



Rešenje





5930 kJmol

Rešenje

( )

Pap

KmolKJ

molJPap

TTR

H

p

p

RT

H

dT

pd

molkJH

pKT

mPapKT

isp

isp

isp

531

15293

1

15323

1

3148

59300exp160

11ln

ln

359

15323

16015293

2

1

2

121

2

2

22

11

=

minusminus=

minus

minus=

=

=

==

==

minus





Rešenje


b)

molkJH

TRTSH

isp

ispispispisp

8033

510

=

=

KT

H

p

pR

TT

H

p

pR

TT

TTR

H

p

p

RT

H

dT

pd

ispisp

ispisp

386

ln1

1

ln11

11ln

ln

2

1

2

1

21

2

12

121

2

2

=

minus=rarr

minus=minus

minus

minus=rarr

=







Rešenje

( )

( )( )

52

100425565565

4251803148

10132510414

565

1011510514180

10414

115514

180414

211

3

2

363

3

3

=

=minus

=

=

=

=

minus

=

=

=

==

==

minusminus

minusminus

x

x

KkPaKKJmol

PamolJ

RT

pH

dT

dp

KkPadT

dp

mK

molJ

VT

H

V

S

dT

dp

molcmVmolLV

KTmolkJH

isp

isp

isp

isp

isp

t

m

p

m

ntkisp





13

23032103758


= KTT

K

dT

pd

molkJH

KTT

KRTH

KTT

K

RT

H

RT

H

dT

pd

KT

KTdT

pd

isp

isp

isp

isp

8413

3032103758751138343032

3032103758751138343032

ln

3032103758751138343032ln

13

2

2

13

22

2

13

2

=

minus+

=

minus+

=

=

minus+

=

minusminus

minusminus

minusminus

Rešenje

Zadatak 14





jedinjenja

molgM

xn

m

n

mM

xnn

nn

nx

molMmn

xpxp

MmolgM

gmgm

kPapkPap

8553

11

11

0640

9650

1178

1250005

46513353

2

1

1

2

2

22

1

12

21

11

111

1

0

111

21

21

1

0

1

=

minus

==

minus=

+=

==

==

==

==

==

Rešenje

Zadatak 15


C

D

E

A B


b) Oblast I sadrži




f) Oblast V sadrži




j) Tačka D je














Rešenje

Zadatak 16



b) Oblast I sadrži




f) Oblast V sadrži












Rešenje

Zadatak 17




1

2

3

4

5

6

7

8

9

10


A

1 Rastvor

2 Led+rastvor

3 Led+MX6H2O(č)








Rešenje

1

2

3

4

5

6

7

8

9

10


a b c d e f

A

Rešenje

Zadatak 18










Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Zadatak 9



nezasićen



Rešenje





5930 kJmol

Rešenje

( )

Pap

KmolKJ

molJPap

TTR

H

p

p

RT

H

dT

pd

molkJH

pKT

mPapKT

isp

isp

isp

531

15293

1

15323

1

3148

59300exp160

11ln

ln

359

15323

16015293

2

1

2

121

2

2

22

11

=

minusminus=

minus

minus=

=

=

==

==

minus





Rešenje


b)

molkJH

TRTSH

isp

ispispispisp

8033

510

=

=

KT

H

p

pR

TT

H

p

pR

TT

TTR

H

p

p

RT

H

dT

pd

ispisp

ispisp

386

ln1

1

ln11

11ln

ln

2

1

2

1

21

2

12

121

2

2

=

minus=rarr

minus=minus

minus

minus=rarr

=







Rešenje

( )

( )( )

52

100425565565

4251803148

10132510414

565

1011510514180

10414

115514

180414

211

3

2

363

3

3

=

=minus

=

=

=

=

minus

=

=

=

==

==

minusminus

minusminus

x

x

KkPaKKJmol

PamolJ

RT

pH

dT

dp

KkPadT

dp

mK

molJ

VT

H

V

S

dT

dp

molcmVmolLV

KTmolkJH

isp

isp

isp

isp

isp

t

m

p

m

ntkisp





13

23032103758


= KTT

K

dT

pd

molkJH

KTT

KRTH

KTT

K

RT

H

RT

H

dT

pd

KT

KTdT

pd

isp

isp

isp

isp

8413

3032103758751138343032

3032103758751138343032

ln

3032103758751138343032ln

13

2

2

13

22

2

13

2

=

minus+

=

minus+

=

=

minus+

=

minusminus

minusminus

minusminus

Rešenje

Zadatak 14





jedinjenja

molgM

xn

m

n

mM

xnn

nn

nx

molMmn

xpxp

MmolgM

gmgm

kPapkPap

8553

11

11

0640

9650

1178

1250005

46513353

2

1

1

2

2

22

1

12

21

11

111

1

0

111

21

21

1

0

1

=

minus

==

minus=

+=

==

==

==

==

==

Rešenje

Zadatak 15


C

D

E

A B


b) Oblast I sadrži




f) Oblast V sadrži




j) Tačka D je














Rešenje

Zadatak 16



b) Oblast I sadrži




f) Oblast V sadrži












Rešenje

Zadatak 17




1

2

3

4

5

6

7

8

9

10


A

1 Rastvor

2 Led+rastvor

3 Led+MX6H2O(č)








Rešenje

1

2

3

4

5

6

7

8

9

10


a b c d e f

A

Rešenje

Zadatak 18










Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Rešenje





5930 kJmol

Rešenje

( )

Pap

KmolKJ

molJPap

TTR

H

p

p

RT

H

dT

pd

molkJH

pKT

mPapKT

isp

isp

isp

531

15293

1

15323

1

3148

59300exp160

11ln

ln

359

15323

16015293

2

1

2

121

2

2

22

11

=

minusminus=

minus

minus=

=

=

==

==

minus





Rešenje


b)

molkJH

TRTSH

isp

ispispispisp

8033

510

=

=

KT

H

p

pR

TT

H

p

pR

TT

TTR

H

p

p

RT

H

dT

pd

ispisp

ispisp

386

ln1

1

ln11

11ln

ln

2

1

2

1

21

2

12

121

2

2

=

minus=rarr

minus=minus

minus

minus=rarr

=







Rešenje

( )

( )( )

52

100425565565

4251803148

10132510414

565

1011510514180

10414

115514

180414

211

3

2

363

3

3

=

=minus

=

=

=

=

minus

=

=

=

==

==

minusminus

minusminus

x

x

KkPaKKJmol

PamolJ

RT

pH

dT

dp

KkPadT

dp

mK

molJ

VT

H

V

S

dT

dp

molcmVmolLV

KTmolkJH

isp

isp

isp

isp

isp

t

m

p

m

ntkisp





13

23032103758


= KTT

K

dT

pd

molkJH

KTT

KRTH

KTT

K

RT

H

RT

H

dT

pd

KT

KTdT

pd

isp

isp

isp

isp

8413

3032103758751138343032

3032103758751138343032

ln

3032103758751138343032ln

13

2

2

13

22

2

13

2

=

minus+

=

minus+

=

=

minus+

=

minusminus

minusminus

minusminus

Rešenje

Zadatak 14





jedinjenja

molgM

xn

m

n

mM

xnn

nn

nx

molMmn

xpxp

MmolgM

gmgm

kPapkPap

8553

11

11

0640

9650

1178

1250005

46513353

2

1

1

2

2

22

1

12

21

11

111

1

0

111

21

21

1

0

1

=

minus

==

minus=

+=

==

==

==

==

==

Rešenje

Zadatak 15


C

D

E

A B


b) Oblast I sadrži




f) Oblast V sadrži




j) Tačka D je














Rešenje

Zadatak 16



b) Oblast I sadrži




f) Oblast V sadrži












Rešenje

Zadatak 17




1

2

3

4

5

6

7

8

9

10


A

1 Rastvor

2 Led+rastvor

3 Led+MX6H2O(č)








Rešenje

1

2

3

4

5

6

7

8

9

10


a b c d e f

A

Rešenje

Zadatak 18










Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje



5930 kJmol

Rešenje

( )

Pap

KmolKJ

molJPap

TTR

H

p

p

RT

H

dT

pd

molkJH

pKT

mPapKT

isp

isp

isp

531

15293

1

15323

1

3148

59300exp160

11ln

ln

359

15323

16015293

2

1

2

121

2

2

22

11

=

minusminus=

minus

minus=

=

=

==

==

minus





Rešenje


b)

molkJH

TRTSH

isp

ispispispisp

8033

510

=

=

KT

H

p

pR

TT

H

p

pR

TT

TTR

H

p

p

RT

H

dT

pd

ispisp

ispisp

386

ln1

1

ln11

11ln

ln

2

1

2

1

21

2

12

121

2

2

=

minus=rarr

minus=minus

minus

minus=rarr

=







Rešenje

( )

( )( )

52

100425565565

4251803148

10132510414

565

1011510514180

10414

115514

180414

211

3

2

363

3

3

=

=minus

=

=

=

=

minus

=

=

=

==

==

minusminus

minusminus

x

x

KkPaKKJmol

PamolJ

RT

pH

dT

dp

KkPadT

dp

mK

molJ

VT

H

V

S

dT

dp

molcmVmolLV

KTmolkJH

isp

isp

isp

isp

isp

t

m

p

m

ntkisp





13

23032103758


= KTT

K

dT

pd

molkJH

KTT

KRTH

KTT

K

RT

H

RT

H

dT

pd

KT

KTdT

pd

isp

isp

isp

isp

8413

3032103758751138343032

3032103758751138343032

ln

3032103758751138343032ln

13

2

2

13

22

2

13

2

=

minus+

=

minus+

=

=

minus+

=

minusminus

minusminus

minusminus

Rešenje

Zadatak 14





jedinjenja

molgM

xn

m

n

mM

xnn

nn

nx

molMmn

xpxp

MmolgM

gmgm

kPapkPap

8553

11

11

0640

9650

1178

1250005

46513353

2

1

1

2

2

22

1

12

21

11

111

1

0

111

21

21

1

0

1

=

minus

==

minus=

+=

==

==

==

==

==

Rešenje

Zadatak 15


C

D

E

A B


b) Oblast I sadrži




f) Oblast V sadrži




j) Tačka D je














Rešenje

Zadatak 16



b) Oblast I sadrži




f) Oblast V sadrži












Rešenje

Zadatak 17




1

2

3

4

5

6

7

8

9

10


A

1 Rastvor

2 Led+rastvor

3 Led+MX6H2O(č)








Rešenje

1

2

3

4

5

6

7

8

9

10


a b c d e f

A

Rešenje

Zadatak 18










Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Rešenje

( )

Pap

KmolKJ

molJPap

TTR

H

p

p

RT

H

dT

pd

molkJH

pKT

mPapKT

isp

isp

isp

531

15293

1

15323

1

3148

59300exp160

11ln

ln

359

15323

16015293

2

1

2

121

2

2

22

11

=

minusminus=

minus

minus=

=

=

==

==

minus





Rešenje


b)

molkJH

TRTSH

isp

ispispispisp

8033

510

=

=

KT

H

p

pR

TT

H

p

pR

TT

TTR

H

p

p

RT

H

dT

pd

ispisp

ispisp

386

ln1

1

ln11

11ln

ln

2

1

2

1

21

2

12

121

2

2

=

minus=rarr

minus=minus

minus

minus=rarr

=







Rešenje

( )

( )( )

52

100425565565

4251803148

10132510414

565

1011510514180

10414

115514

180414

211

3

2

363

3

3

=

=minus

=

=

=

=

minus

=

=

=

==

==

minusminus

minusminus

x

x

KkPaKKJmol

PamolJ

RT

pH

dT

dp

KkPadT

dp

mK

molJ

VT

H

V

S

dT

dp

molcmVmolLV

KTmolkJH

isp

isp

isp

isp

isp

t

m

p

m

ntkisp





13

23032103758


= KTT

K

dT

pd

molkJH

KTT

KRTH

KTT

K

RT

H

RT

H

dT

pd

KT

KTdT

pd

isp

isp

isp

isp

8413

3032103758751138343032

3032103758751138343032

ln

3032103758751138343032ln

13

2

2

13

22

2

13

2

=

minus+

=

minus+

=

=

minus+

=

minusminus

minusminus

minusminus

Rešenje

Zadatak 14





jedinjenja

molgM

xn

m

n

mM

xnn

nn

nx

molMmn

xpxp

MmolgM

gmgm

kPapkPap

8553

11

11

0640

9650

1178

1250005

46513353

2

1

1

2

2

22

1

12

21

11

111

1

0

111

21

21

1

0

1

=

minus

==

minus=

+=

==

==

==

==

==

Rešenje

Zadatak 15


C

D

E

A B


b) Oblast I sadrži




f) Oblast V sadrži




j) Tačka D je














Rešenje

Zadatak 16



b) Oblast I sadrži




f) Oblast V sadrži












Rešenje

Zadatak 17




1

2

3

4

5

6

7

8

9

10


A

1 Rastvor

2 Led+rastvor

3 Led+MX6H2O(č)








Rešenje

1

2

3

4

5

6

7

8

9

10


a b c d e f

A

Rešenje

Zadatak 18










Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje





Rešenje


b)

molkJH

TRTSH

isp

ispispispisp

8033

510

=

=

KT

H

p

pR

TT

H

p

pR

TT

TTR

H

p

p

RT

H

dT

pd

ispisp

ispisp

386

ln1

1

ln11

11ln

ln

2

1

2

1

21

2

12

121

2

2

=

minus=rarr

minus=minus

minus

minus=rarr

=







Rešenje

( )

( )( )

52

100425565565

4251803148

10132510414

565

1011510514180

10414

115514

180414

211

3

2

363

3

3

=

=minus

=

=

=

=

minus

=

=

=

==

==

minusminus

minusminus

x

x

KkPaKKJmol

PamolJ

RT

pH

dT

dp

KkPadT

dp

mK

molJ

VT

H

V

S

dT

dp

molcmVmolLV

KTmolkJH

isp

isp

isp

isp

isp

t

m

p

m

ntkisp





13

23032103758


= KTT

K

dT

pd

molkJH

KTT

KRTH

KTT

K

RT

H

RT

H

dT

pd

KT

KTdT

pd

isp

isp

isp

isp

8413

3032103758751138343032

3032103758751138343032

ln

3032103758751138343032ln

13

2

2

13

22

2

13

2

=

minus+

=

minus+

=

=

minus+

=

minusminus

minusminus

minusminus

Rešenje

Zadatak 14





jedinjenja

molgM

xn

m

n

mM

xnn

nn

nx

molMmn

xpxp

MmolgM

gmgm

kPapkPap

8553

11

11

0640

9650

1178

1250005

46513353

2

1

1

2

2

22

1

12

21

11

111

1

0

111

21

21

1

0

1

=

minus

==

minus=

+=

==

==

==

==

==

Rešenje

Zadatak 15


C

D

E

A B


b) Oblast I sadrži




f) Oblast V sadrži




j) Tačka D je














Rešenje

Zadatak 16



b) Oblast I sadrži




f) Oblast V sadrži












Rešenje

Zadatak 17




1

2

3

4

5

6

7

8

9

10


A

1 Rastvor

2 Led+rastvor

3 Led+MX6H2O(č)








Rešenje

1

2

3

4

5

6

7

8

9

10


a b c d e f

A

Rešenje

Zadatak 18










Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Rešenje


b)

molkJH

TRTSH

isp

ispispispisp

8033

510

=

=

KT

H

p

pR

TT

H

p

pR

TT

TTR

H

p

p

RT

H

dT

pd

ispisp

ispisp

386

ln1

1

ln11

11ln

ln

2

1

2

1

21

2

12

121

2

2

=

minus=rarr

minus=minus

minus

minus=rarr

=







Rešenje

( )

( )( )

52

100425565565

4251803148

10132510414

565

1011510514180

10414

115514

180414

211

3

2

363

3

3

=

=minus

=

=

=

=

minus

=

=

=

==

==

minusminus

minusminus

x

x

KkPaKKJmol

PamolJ

RT

pH

dT

dp

KkPadT

dp

mK

molJ

VT

H

V

S

dT

dp

molcmVmolLV

KTmolkJH

isp

isp

isp

isp

isp

t

m

p

m

ntkisp





13

23032103758


= KTT

K

dT

pd

molkJH

KTT

KRTH

KTT

K

RT

H

RT

H

dT

pd

KT

KTdT

pd

isp

isp

isp

isp

8413

3032103758751138343032

3032103758751138343032

ln

3032103758751138343032ln

13

2

2

13

22

2

13

2

=

minus+

=

minus+

=

=

minus+

=

minusminus

minusminus

minusminus

Rešenje

Zadatak 14





jedinjenja

molgM

xn

m

n

mM

xnn

nn

nx

molMmn

xpxp

MmolgM

gmgm

kPapkPap

8553

11

11

0640

9650

1178

1250005

46513353

2

1

1

2

2

22

1

12

21

11

111

1

0

111

21

21

1

0

1

=

minus

==

minus=

+=

==

==

==

==

==

Rešenje

Zadatak 15


C

D

E

A B


b) Oblast I sadrži




f) Oblast V sadrži




j) Tačka D je














Rešenje

Zadatak 16



b) Oblast I sadrži




f) Oblast V sadrži












Rešenje

Zadatak 17




1

2

3

4

5

6

7

8

9

10


A

1 Rastvor

2 Led+rastvor

3 Led+MX6H2O(č)








Rešenje

1

2

3

4

5

6

7

8

9

10


a b c d e f

A

Rešenje

Zadatak 18










Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje







Rešenje

( )

( )( )

52

100425565565

4251803148

10132510414

565

1011510514180

10414

115514

180414

211

3

2

363

3

3

=

=minus

=

=

=

=

minus

=

=

=

==

==

minusminus

minusminus

x

x

KkPaKKJmol

PamolJ

RT

pH

dT

dp

KkPadT

dp

mK

molJ

VT

H

V

S

dT

dp

molcmVmolLV

KTmolkJH

isp

isp

isp

isp

isp

t

m

p

m

ntkisp





13

23032103758


= KTT

K

dT

pd

molkJH

KTT

KRTH

KTT

K

RT

H

RT

H

dT

pd

KT

KTdT

pd

isp

isp

isp

isp

8413

3032103758751138343032

3032103758751138343032

ln

3032103758751138343032ln

13

2

2

13

22

2

13

2

=

minus+

=

minus+

=

=

minus+

=

minusminus

minusminus

minusminus

Rešenje

Zadatak 14





jedinjenja

molgM

xn

m

n

mM

xnn

nn

nx

molMmn

xpxp

MmolgM

gmgm

kPapkPap

8553

11

11

0640

9650

1178

1250005

46513353

2

1

1

2

2

22

1

12

21

11

111

1

0

111

21

21

1

0

1

=

minus

==

minus=

+=

==

==

==

==

==

Rešenje

Zadatak 15


C

D

E

A B


b) Oblast I sadrži




f) Oblast V sadrži




j) Tačka D je














Rešenje

Zadatak 16



b) Oblast I sadrži




f) Oblast V sadrži












Rešenje

Zadatak 17




1

2

3

4

5

6

7

8

9

10


A

1 Rastvor

2 Led+rastvor

3 Led+MX6H2O(č)








Rešenje

1

2

3

4

5

6

7

8

9

10


a b c d e f

A

Rešenje

Zadatak 18










Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Rešenje

( )

( )( )

52

100425565565

4251803148

10132510414

565

1011510514180

10414

115514

180414

211

3

2

363

3

3

=

=minus

=

=

=

=

minus

=

=

=

==

==

minusminus

minusminus

x

x

KkPaKKJmol

PamolJ

RT

pH

dT

dp

KkPadT

dp

mK

molJ

VT

H

V

S

dT

dp

molcmVmolLV

KTmolkJH

isp

isp

isp

isp

isp

t

m

p

m

ntkisp





13

23032103758


= KTT

K

dT

pd

molkJH

KTT

KRTH

KTT

K

RT

H

RT

H

dT

pd

KT

KTdT

pd

isp

isp

isp

isp

8413

3032103758751138343032

3032103758751138343032

ln

3032103758751138343032ln

13

2

2

13

22

2

13

2

=

minus+

=

minus+

=

=

minus+

=

minusminus

minusminus

minusminus

Rešenje

Zadatak 14





jedinjenja

molgM

xn

m

n

mM

xnn

nn

nx

molMmn

xpxp

MmolgM

gmgm

kPapkPap

8553

11

11

0640

9650

1178

1250005

46513353

2

1

1

2

2

22

1

12

21

11

111

1

0

111

21

21

1

0

1

=

minus

==

minus=

+=

==

==

==

==

==

Rešenje

Zadatak 15


C

D

E

A B


b) Oblast I sadrži




f) Oblast V sadrži




j) Tačka D je














Rešenje

Zadatak 16



b) Oblast I sadrži




f) Oblast V sadrži












Rešenje

Zadatak 17




1

2

3

4

5

6

7

8

9

10


A

1 Rastvor

2 Led+rastvor

3 Led+MX6H2O(č)








Rešenje

1

2

3

4

5

6

7

8

9

10


a b c d e f

A

Rešenje

Zadatak 18










Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje





13

23032103758


= KTT

K

dT

pd

molkJH

KTT

KRTH

KTT

K

RT

H

RT

H

dT

pd

KT

KTdT

pd

isp

isp

isp

isp

8413

3032103758751138343032

3032103758751138343032

ln

3032103758751138343032ln

13

2

2

13

22

2

13

2

=

minus+

=

minus+

=

=

minus+

=

minusminus

minusminus

minusminus

Rešenje

Zadatak 14





jedinjenja

molgM

xn

m

n

mM

xnn

nn

nx

molMmn

xpxp

MmolgM

gmgm

kPapkPap

8553

11

11

0640

9650

1178

1250005

46513353

2

1

1

2

2

22

1

12

21

11

111

1

0

111

21

21

1

0

1

=

minus

==

minus=

+=

==

==

==

==

==

Rešenje

Zadatak 15


C

D

E

A B


b) Oblast I sadrži




f) Oblast V sadrži




j) Tačka D je














Rešenje

Zadatak 16



b) Oblast I sadrži




f) Oblast V sadrži












Rešenje

Zadatak 17




1

2

3

4

5

6

7

8

9

10


A

1 Rastvor

2 Led+rastvor

3 Led+MX6H2O(č)








Rešenje

1

2

3

4

5

6

7

8

9

10


a b c d e f

A

Rešenje

Zadatak 18










Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

molkJH

KTT

KRTH

KTT

K

RT

H

RT

H

dT

pd

KT

KTdT

pd

isp

isp

isp

isp

8413

3032103758751138343032

3032103758751138343032

ln

3032103758751138343032ln

13

2

2

13

22

2

13

2

=

minus+

=

minus+

=

=

minus+

=

minusminus

minusminus

minusminus

Rešenje

Zadatak 14





jedinjenja

molgM

xn

m

n

mM

xnn

nn

nx

molMmn

xpxp

MmolgM

gmgm

kPapkPap

8553

11

11

0640

9650

1178

1250005

46513353

2

1

1

2

2

22

1

12

21

11

111

1

0

111

21

21

1

0

1

=

minus

==

minus=

+=

==

==

==

==

==

Rešenje

Zadatak 15


C

D

E

A B


b) Oblast I sadrži




f) Oblast V sadrži




j) Tačka D je














Rešenje

Zadatak 16



b) Oblast I sadrži




f) Oblast V sadrži












Rešenje

Zadatak 17




1

2

3

4

5

6

7

8

9

10


A

1 Rastvor

2 Led+rastvor

3 Led+MX6H2O(č)








Rešenje

1

2

3

4

5

6

7

8

9

10


a b c d e f

A

Rešenje

Zadatak 18










Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Zadatak 14





jedinjenja

molgM

xn

m

n

mM

xnn

nn

nx

molMmn

xpxp

MmolgM

gmgm

kPapkPap

8553

11

11

0640

9650

1178

1250005

46513353

2

1

1

2

2

22

1

12

21

11

111

1

0

111

21

21

1

0

1

=

minus

==

minus=

+=

==

==

==

==

==

Rešenje

Zadatak 15


C

D

E

A B


b) Oblast I sadrži




f) Oblast V sadrži




j) Tačka D je














Rešenje

Zadatak 16



b) Oblast I sadrži




f) Oblast V sadrži












Rešenje

Zadatak 17




1

2

3

4

5

6

7

8

9

10


A

1 Rastvor

2 Led+rastvor

3 Led+MX6H2O(č)








Rešenje

1

2

3

4

5

6

7

8

9

10


a b c d e f

A

Rešenje

Zadatak 18










Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

molgM

xn

m

n

mM

xnn

nn

nx

molMmn

xpxp

MmolgM

gmgm

kPapkPap

8553

11

11

0640

9650

1178

1250005

46513353

2

1

1

2

2

22

1

12

21

11

111

1

0

111

21

21

1

0

1

=

minus

==

minus=

+=

==

==

==

==

==

Rešenje

Zadatak 15


C

D

E

A B


b) Oblast I sadrži




f) Oblast V sadrži




j) Tačka D je














Rešenje

Zadatak 16



b) Oblast I sadrži




f) Oblast V sadrži












Rešenje

Zadatak 17




1

2

3

4

5

6

7

8

9

10


A

1 Rastvor

2 Led+rastvor

3 Led+MX6H2O(č)








Rešenje

1

2

3

4

5

6

7

8

9

10


a b c d e f

A

Rešenje

Zadatak 18










Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Zadatak 15


C

D

E

A B


b) Oblast I sadrži




f) Oblast V sadrži




j) Tačka D je














Rešenje

Zadatak 16



b) Oblast I sadrži




f) Oblast V sadrži












Rešenje

Zadatak 17




1

2

3

4

5

6

7

8

9

10


A

1 Rastvor

2 Led+rastvor

3 Led+MX6H2O(č)








Rešenje

1

2

3

4

5

6

7

8

9

10


a b c d e f

A

Rešenje

Zadatak 18










Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje


b) Oblast I sadrži




f) Oblast V sadrži




j) Tačka D je














Rešenje

Zadatak 16



b) Oblast I sadrži




f) Oblast V sadrži












Rešenje

Zadatak 17




1

2

3

4

5

6

7

8

9

10


A

1 Rastvor

2 Led+rastvor

3 Led+MX6H2O(č)








Rešenje

1

2

3

4

5

6

7

8

9

10


a b c d e f

A

Rešenje

Zadatak 18










Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje













Rešenje

Zadatak 16



b) Oblast I sadrži




f) Oblast V sadrži












Rešenje

Zadatak 17




1

2

3

4

5

6

7

8

9

10


A

1 Rastvor

2 Led+rastvor

3 Led+MX6H2O(č)








Rešenje

1

2

3

4

5

6

7

8

9

10


a b c d e f

A

Rešenje

Zadatak 18










Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Zadatak 16



b) Oblast I sadrži




f) Oblast V sadrži












Rešenje

Zadatak 17




1

2

3

4

5

6

7

8

9

10


A

1 Rastvor

2 Led+rastvor

3 Led+MX6H2O(č)








Rešenje

1

2

3

4

5

6

7

8

9

10


a b c d e f

A

Rešenje

Zadatak 18










Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje


b) Oblast I sadrži




f) Oblast V sadrži












Rešenje

Zadatak 17




1

2

3

4

5

6

7

8

9

10


A

1 Rastvor

2 Led+rastvor

3 Led+MX6H2O(č)








Rešenje

1

2

3

4

5

6

7

8

9

10


a b c d e f

A

Rešenje

Zadatak 18










Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje










Rešenje

Zadatak 17




1

2

3

4

5

6

7

8

9

10


A

1 Rastvor

2 Led+rastvor

3 Led+MX6H2O(č)








Rešenje

1

2

3

4

5

6

7

8

9

10


a b c d e f

A

Rešenje

Zadatak 18










Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Zadatak 17




1

2

3

4

5

6

7

8

9

10


A

1 Rastvor

2 Led+rastvor

3 Led+MX6H2O(č)








Rešenje

1

2

3

4

5

6

7

8

9

10


a b c d e f

A

Rešenje

Zadatak 18










Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

1 Rastvor

2 Led+rastvor

3 Led+MX6H2O(č)








Rešenje

1

2

3

4

5

6

7

8

9

10


a b c d e f

A

Rešenje

Zadatak 18










Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

1

2

3

4

5

6

7

8

9

10


a b c d e f

A

Rešenje

Zadatak 18










Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Zadatak 18










Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje









Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje





Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Rešenje

Tečnost (t)

Sn(č)+t

t+j(č)

t+j(č) t+Mg(č)

Sn(č)+j(č)

Mg(č)+j(č)

T(Sn)=250oC

T(Mg)=650oC

T(j)=790oC

E1=200oC

E2=590oC

Mg2Sn

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Zadatak 19



47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

47

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Zadatak 20







300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

300

Ta


042



i ke smeše

2

2

B

A

e

B e

Be

e B

B

BB

m g

m EM

m MNm m

m

x x

mm

m m

mm

č

č

č

č

č č

č

č č

200B

m

m g

č

č

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Zadatak 21





iznosi 186 K kgmol

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Rešenje

molgMmol

g

n

mM

molmoln

ngmolg

kgmolmolKkg

K

k

Tm

mkT

gmgm

molKkgkKT

f

f

f

10393110187

10

101871000

50104361

501043611000

104361861

0002670

5010

8610002670

4

26

2

22

64

2

2

4

4

12

=

==

=

=

=

==

=

=

==

==

minus

minusminus

minus

minus

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Zadatak 22






( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

( )

( )

CCC

KgmolgJ

KKJmolT

gmolm

gmgmol

molM

mn

mL

RTmkT

molgMgmmgm

gJLKTC

ispm

f

ispm

000

211

3

3

2

22

2

0

212

0

0

0

522953476

95319003311000

622793148

1900

10004516101323

101323

1000

15724516226

33162279476

=minus=

=

=

=

=

==

==

===

===

minusminus

minus

minus

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Zadatak 23









Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Rešenje

NaCl


a

b

c

d

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Rešenje

NaCl(s) + l


Na2SO4(s) + l


l

xNa2SO4mas=03

xNaClmas =07

xNa2SO4mas =076

xNaClmas =024

NaCl


Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Zadatak 24


komponente A B i C




Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Zadatak 24

M

A

B C

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

a)

b)



c)




301060 === CBA xxx

Rešenje

505000 === CBA xxx

403030 === CBA xxx

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Rešenje

M

A

B C

N

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Zadatak 25



belančevine

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Rešenje

molgM

Pag

molKJmggRT

m

mM

RTm

MmRT

m

MmRT

V

nRTc

M

PaKTgmgm

1076

396100

314810101

39615293100101

4

2

36

1

122

11

222222

2

12

=

==

===

=

====

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Zadatak 26




komponenti A i B

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

325050

75050

50250

=

=

=

==

==

o

B

o

A

A

B

B

A

o

B

o

A

o

BB

o

AA

B

A

B

A

AA

p

p

x

x

x

x

p

p

px

px

p

p

x

x

xx

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Zadatak 27







( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

( )

kPap

kPakPap

pppxp

xx

pppx

pxx

kPapkPap

xKT

BBAA

BA

AABA

BAA

BA

A

6158

0052005266762680

)(

73202680

)(

00526676

350300

000

000

0

00

=

+minus=

+minus=

==

+minus

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Zadatak 28







Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Rešenje

molgM

mol

gMmoln

nmolg

g

n

nMm

n

nn

nx

xp

pp

molgMCTCT

mmHgpmmHgpgmgm

o

k

o

k

6697

01280

25101280

78

7598

010

78802580

76047527598251

2

22

2

2

211

2

21

22

20

1

1

0

1

1

0

0

1112

=

==

+

=+

=+

=

==minus

===

====

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Rešenje

( )

( ) ( )

gJl

gK

molKmolKJ

m

n

T

TRl

m

n

l

TRmkKTTT

isp

isp

isp

bkk

6537

7598250

01280153533148

1000

1000250

2

1

2

20

1

1

2

20

10

=

=

=

===minus=

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Zadatak 29








832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

832

258

3225891262123

162

580

850

32126

==

====

===

==

xx

xAxM

m

Mm

T

TM

mM

Mm

n

n

T

T

molgAmolgA

Ssumpor

jod

jodsumpor

sumpor

jod

sumpor

jodsumpor

jodsumpor

jod

sumpor

jod

sumpor

SI

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Zadatak 30







supstancije

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

( )

( )

mlV

mlm

VmmKV

K

V

mm

V

m

Vmm

McmlVc

cK

h

vh

h

v

h

vv

h

vr

9990

500010

00101

5

1

99901

0500505

1

1

1

1

1

1

0

=

minus

=minus

=

=minus

=minus=

====

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Zadatak 31





Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Rešenje

( )

atm

RTV

nRTc

RT

Vnnn

RT

VnRT

V

nRTc

RT

VnRT

V

nRTc

atmatm

53

2

22

6442

3

21333

21213

22

222

11

111

321

=

+===

+=

+=

=rarr==

=rarr==

===

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Zadatak 32






o

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

mmHgpmmHgp

mmHgpp

mmHgpp

xx

xx

mmHgpmolnmoln

mmHgpmolnmoln

BA

BA

BA

BA

BA

BA

BA

150450

3002

1

2

1

2503

2

3

1

2

1

2

1

3

2

3

1

30022

25021

00

00

00

22

11

222

111

==

=+

=+

==

==

===

===

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Zadatak 33







komponenti A i B

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

atmpatmp

atmppp

atmpp

atmpxxx

xx

atmpmolnmolnmoln

atmpmolnmoln

BA

CBA

BA

CCBA

BA

CBA

BA

7091

15

3

5

1

5

1

14

3

4

1

805

3

5

1

5

1

4

3

4

1

1622

131

00

000

00

0

222

11

2222

111

==

=++

=+

====

==

====

===

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Zadatak 34




( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

( )

CT

TCTTKT

kgmolm

mmkgmmol

mkT

mmolccRT

molkgKkkPaKT

m

mmm

f

f

0

00

33

3

0890

00890

0480

1100011148

1148

861120300

minus=

minus=minus==

=

=

=

==

===

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Zadatak 35





kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

kPap

pMmMm

Mmp

nn

npxp

kPap

molgMmolgM

gmgm

994

005

647201492

231100

1

0

1

2211

110

1

21

10

111

0

1

21

21

=

+=

+==

=

==

==

Rešenje

Documents

Zadaci I -