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8/11/2019 Chuyn Nhit Ha Hc
1/26
Chuyn NHIT HA HC Trang 11) KH L TNG:* Kh l tng l cht h ! h"#ng c$ch g%&a c$c 'h(n t) h a nhau+ c, th- ./ 0ua tng t$c g%&a ch2ng3* 45% h l tng th6 c, th- $' 78ng 9: ;hng tr6nh trT ?> = @+1B D!"l3K = E+E@F l3at!D!"l3KG
- Trong bnh c hn h p khth: P = Pi = Vni.RT
cn Pi= Ni.P = .Pnini
2) H V MI TRNG:- H m:h tra" % cht J nng lLng J5% !M% trng3- H kn:H chO tra" % nng lLng J5% !M% trng3- H on n!"#:H hMng tra" % nh%t J5% !M% trng3* Quy c:H nhPn nng lLng cQa !M% trng nng lLng !ang 7u RH nhng nng lLng ch" !M% trng nng lLng !ang 7u :$) %I&N '(I TH*N NGH+,H:
NSu h chuy-n t trn!cQa !Wt cht l lLng nh%t Lc 'h$t ra hay thu J" tr"ng 'h#n ^ng t
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Chuyn NHIT HA HC Trang Fb$c [nh h%u ^ng nh%t cQa 'h#n ^ng9 F C R B HFHF R CFHmHH" t? calD!"l G : io+i :i@+ :Fi+o
%>" #EF AF CDn #n! !" n n!"#
1= b$c [nh h%u ^ng cQa 'h#n ^ng ]t ch$y gluc"Vp %u %n t%u chujn3 d%St9
CiH1Fi?gluc"VpG CF?G HF?lGk%nh nh%t HV?calD!"lG :EB+E :B+m :i@+
2= b$c [nh h%u ^ng cQa 'h#n ^ng thQy 'h(n urp thnh CFJ NH3 d%St9
?NHFGFC77?urpG HF?lG CF?77G NH?77Gk%nh nh%t HV ?calD!"lG :oi+ :i@+ :@+o :1+
$= Cqn t%u t]n nh%t lLng .Ung .a" nh%u - %u chS 1EEE g can% cac.ua rn t Ca ?rnG J C ?rnG s
Ca ?rG R C ?rG CaCF ?rG R C ?GH" V ?D!"lG : im+m :m+B : 11E+m \k9 oFom 'AF J?:- 1 k@
= b$c [nh h%u ^ng nh%t cQa 'h#n ^ng9
CiH1Fi?rG R i F?G
i HF?lG R i CF?GH" V? calD!"l G : EB+i :i@+ :B+B'AF J?: - 4O14 k@
= b$c [nh h%u ^ng nh%t cQa 'h#n ^ng9
C R FNF FNF R CFH" V? calD!"l G 1o+o : B+B
NSu chO c, FF g NF tha! g%a 'h#n ^ng th6 lLng nh%t g%#% 'h,ng l .a" nh%us'AF J?: $2 k@
O) '+NH L*T HP..:H ?G cQa 1 0u$ tr6nh chO 'h8 thuWc J" tr
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Chuyn NHIT HA HC Trang Ca ?rG : im+mm NaHC?rG : o1E+BB
CF?G :+m1 NHBCl?rG : 1m+
HF ?lG :F@m+@m NaFC?rG : 1BE+E
NaCl ?rG : B1E+ CaClF?rG :oB+i
Ca?HGF ?rG : @i+m
'.= Tnh H"'thp" V%nh nh%t9H"'?1G = 1o@+EF H"'?FG = FF1+BF H"'?G = : i@@+mo H"'?BG = : im+1 H"'?mG = 1m@+ S=H"'?tngG = H"' ?1G R H"' ?FG R H"'?G R H"'?BG R H"'?mG = :1m+ @=CaC R F NaClCaClFR NaFC ?iGC=H"'?iG = :1m+ = H"'?tngG
%>" #EF AF CDn n! E# HP..1= Tnh h%u ^ng nh%t cQa 'h#n ^ng9Ca R CFCaC ?aG+ H"
Ch"9Ca R ?1DFG F Ca ?1G+ H" 1= : 1mF+ calC R F CF ?FG+ H" F= : B+BB calC R Ca R ?DFG F CaC ?G+ H" = : F@i+oo cal
?Trch V$ch d% tP' h,a hZc
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Chuyn NHIT HA HC Trang BThp" [nh luPt HpVV ta c, V v9Thp" V v trn+ ta c,9 H" R H" = H" 1 R FH" F
= H" = FH" F R H"1 : H" = : i+BF cal$= b$c [nh V%nh nh%t cQa apt%lpn nSu .%St th%u nh%t cQa n, l 1+i cal J V%nh nh%t cQa H F J CFtng ^ng
.Ung i@+ cal J B+B cal3G"":Cqn tnh h%u ^ng nh%t cQa 'h#n ^ng9F C R HF CFHF ?cG+ H"
Thp" .% ta c, 9
CFHF R ?mDFGF F CFR HF ?1G+ H" t?CFHFG= : 1+i calC R F CF ?FG+ H" V?CFG= : B+BB calHF R ?1DFGFHF ?G+ H" V?HFG= : i@+ cal;h#n ^ng ?FG+?G ch" H" t?CG = : B+BB cal J H" t?HFG = : i@+ calTnh H" thp" th%u nh%t9H" = H" t?HFGR F H" t?CG :H" t?CFHFG= mi+BF cal= b$c [nh V%nh nh%t chujn Fm"C cQa 'r"'an %u %n zng $'+ zng tch3 d%St th%u nh%t cQa n, l FFFE D!"l JV%nh nh%t cQa HF J CFtng ^ng .Ung F@i D!"l J +m D!"l3G"":Cqn tnh h%u ^ng nh%t cQa 'h#n ^ng9 C R B HFCH@ H"
Thp" .% ta c, 9CH@ R mF CFR B HF ?1G+ H" t?CH@G = : FFFE D!"lHF R ?1DFGF HF ?FG+ H" V?HFG = : F@i D!"lC R F CF ?G+ H" V?CFG = : +m D!"l;h#n ^ng ?FG+?G ch" H" t?HFG = : F@i D!"l H" t?CG = : +m D!"l: { %u %n zng $'9Tnh H" thp" th%u nh%t9H" = BH" t?HFGR H" t?CG : H" t?CH@G = : 1EB+m : { %u %n zng tch9
H"
= "
R n >T = "
= H"
: n >T= :1EB+m ?1 : BG3@+1B3?1E : G3@ = : o+1 =b$c [nh nng lLng !
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Chuyn NHIT HA HC Trang m: Tr"ng VY .%Sn % thuPn ngh[ch JM cXng nh/ T = c"nVt h tra" % J5% !M% trng !Wt lLng nh%t TNth6 VY .%Sn
th%n pntr"'% tr"ng 0u$ tr6nh ny l9 7k=T
QTN
k l h! trln1
F
V
V= n3>3ln
F
1
P
P
12) ./ %I&N THI6N PNTRUI ,78 ,H0T NG56N ,H0T THPU NHIT '9=: u$ tr6nh ; = c"nVt9 \un n,ng 1 cht nguyn cht t T1TF+ hMng c, VY chuy-n 'ha9
k = F
1
T
T
TN
T
Q45% = ;= 7H = n3C;37T
k =T
dTCn
T
T
P33F
1
* Tr"ng h"#ng nh%t W h'+ c"% C;= c"nVt k = n3C;3ln1
F
T
T
: u$ tr6nh9 4 = c"nVt k = n 3C43ln1
F
T
T
1$) PNTRUI T5T '\I] NB^n III @_ n!"# `n !a@:: ntr"'% cQa cht nguyn cht 75% 7
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Chuyn NHIT HA HC Trang i
k = kT: k?T = EG= kT= =
m
1iiS
kT=T
dTCn
T
Ln
T
dTCn
T
Ln
T
dTCn
T
T
hP
S
S
T
T
lP
nc
nc
T
rP
S
S
nc
nc
33333333 G?G?E
G?
1
++++%$ tr[ pntr"'% Lc $c [nh ; = 1 at! = c"nVt J nh%t W T n" , LcgZ% l g%$ tr[ pntr"'% chujn+ h%u l kET+ thng T = F@K kEF@1) ./ %I&N THI6N PNTRUI TRUNG HbN cNG HU3 H,:
R Kh% 'h#n ^ng thYc h%n ; = c"nVt+ T = c"nVt th69 k = k?V'G : k?tDcGR NSu %u %n chujn J FmEC th69 kEF@= kEF@?V'G : kEF@?tDcGR 46 k cQa cht h cht rn+ l/ng nn nSu V] !"l h V#n 'hj! ?V'G V] !"lh tha! g%a th6 k E J ngLc lT3ln;?; tnh .Ung .ar ?at!GG31O) TNH G ,78 M9T .\ Q3 TRYNH:) G"n npn en n!"# k! #qn
= n>T3ln1
F
P
P= n>T3ln
F
1
V
V
S) Tg`n rn en n!"# en AF 2 k! #qn:
= nA3>TlnAR nd3>Tlnd@) QA #ghn! @!Bsn F! #!En n!@! ;#" n!"# ` @!Bsn F!): c= EC) QA #ghn! @!Bsn F! #!En n!@! T T@t
Nguyn tc9 $' 78ng chu tr6nh nh%t Wng3 46 l h! tr
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Chuyn NHIT HA HC Trang o
1= Ch" 'h#n ng9 CaCCa R CF
CaC Ca CFk%nh nh%t HV ?calD!"lG :F@@+m :1m1+ :B+1
ntr"'% k ?calD!"l3"KG FF+F +m m1+1 b$c [nh ch%u tY #y cQa 'h#n ^ng ? tcG3 b$c [nh nh%t W t" 4: Tnh kEF@+ HEF@J EF@]% J5% 0u$ tr6nh 'h(n hQy nh%t CaC+ .%St9CaC Ca R CF ?*GkEF@?DK3!"lG RF+ @+1 F1+o HEht?D!"lG : 1FEi+E :im+1E :+mE%>" O: T" 1: Tnh EocQa 'h#n ^ng9 CHBR HF?G = C R HF3 d%St9
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Chuyn NHIT HA HC Trang @Nh%t h6nh thnh chujn HEht F@cQa CHB+ HF?G J C lqn lLt .Ung :oB+@_ :FB1+@ J :11E+m D!"l3 ntr"'% chujn cQaCHB+ HF?G J C lqn lLt .Ung 1@i+F_ 1@@+o J 1o+i DK3!"l ?Tr"ng tnh t"$n g%# th%St rUng HEJ kEhMng 'h8thuWc TG3=T g%$ tr[ Et6! Lc c, th- St luPn g6 J h# nng tY 7%xn .%Sn cQa 'h#n ^ng oK3S=T" $:bt 0u$ tr6nh n,ng ch#y cQa n5c $ EEC J 1at! ta c, c$c 7& %n Vau (y9 Hnc?HF+ EEC+ 1at!G = i+EE@ D!"lC'?HF+ rG = o+F@ DK3!"lC'?HF+ lG = om+1F DK3!"lHy $c [nh .%Sn th%n pntan'% H+ .%Sn th%n pntr"'% k J .%Sn th%n cQa h tr"ng 0u$ tr6nh trn nhng #y razng $' t" ;hng tr6nh 'h#n ^ng9 HFR 1DFF= HFTa c,9 E= HE T3 kETr"ng ,9 kE= kE?HFG kE?HFG 1DFkE?FG = i+E1 1E+i@B :1DF3FEm+1@ = :1i+m DK3!"l= E= :F@m+@31E F@3?:1i+mG = Fo1m1+o D!"l = Fo+1mF D!"lG"" S>" 4Thp" 'hng tr6nh 'h#n ^ng ?*G ta tnh Lc9
kE
= k
E
?CaG R k
E
?CFG k
E
?CaCG = @+1 R F1+o F+ = 1m@+ DK3!"l HE= HEht?CaG R HEht?CFG : HEht?CaCG = ?:im+1EG R ?:+mEG ?:1FEi+EG = 1o@+E D!"l= EF@= HEF@ T3 kEF@ = 1o@+E F@31m@+31E: = 1E+m D!"l EF@E ch^ng t/ FmEC J 1at! VY nh%t 'h(n CaChMng #y ra Lc3
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Chuyn NHIT HA HC Trang G"" S>" OT%u chujn $nh g%$ ch%u h5ng tY 7%xn .%Sn cQa c$c 0u$ tr6nh #y ra %u %n zng nh%t+ zng $' l nng lLng tY 7"9 = H T3k = H T3 k ]% J5% 0u$ tr6nh zng nh%t3Kh% .ay h% cQa n5c ; = 1at!9
HF ?lG = HF ?hG H = BEm@o+@E k = 1E@+i@ DK3!"l= = BEm@o+@E T3 1E@+i@
Hy t6! nh%t W tG3?TF T1G 3n
= ? PC : >G3?
1
F
P
P:1G3T13n = ?F+1 : @+1BG3? G1
1
m+1 3Fo+1m = 1B1B+EB?G
.G 4"= G?@EB+FF3F@
1EEl= 4= F4"= 1iE ?lG
= :;3 4 = :1?1iE @EG = :@E ?l3atG = :@E 31E1+ = :@1Ei+B?G
;= H = PC 3n 3T =
11
1
F 331+F3F@
1EETT
V
V= F+13
F@
1EE?F3Fo+1m Fo+1mG = F@@@+1?G
= R = F@@@+1 = @1Ei+B = FEF@1+o?GcG T = c"nVt = E_ H = E
= : F
1
3V
dVnRT = : n>T3ln
1
F
V
V
= :F@
1EE3@+1B 3Fo+1m3ln
@E
FEE= :oB1+io?G
= R = E = : = oB1+io?G7G = E ?k = c"nVtGThp" ;T '"%VV"n9 T13 4
11
= TF3 41
F
TF= T13?F
1
V
VG:1 45% B+1
A1B+@1+Fl
1+Fl
=
+==
P
P
V
P
CR
C
C
C
= = n3 VC ?TFT1G =
F@
1EE?F+1:@+1BG3?1@+ :Fo+1mG = iFFF+B?G
H = nPC 3T =
F@
1EE3F+1?1@+ Fo+1mG = : @o11+?G
%>" 2:
Tnho
SH F@+ cQa Cl:?a0G3 d%St9
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Chuyn NHIT HA HC Trang 1E
?aG9F
1HFR
F
1ClF?GHCl?G
o
SH F@+ = :F+F?G
?.G9 HCl?GR a0 HR?a0GR Cl:?a0Go
SH F@+ = :om+1?G
?cG9F
1HFR a0 HR?a0GR p
o
SH F@+ = E
?ii:
y ?aG R ?.G ?cG 9
F
1ClFR p R a0 = Cl:?a0G
o
SH F@+ = : 1io+?G
%>" $:Tnh h%u ^ng nh%t cQa 'h#n ^ng9
~p?NGF?a0GR BHN?a0G~p?NG?a0GR N?GR FHF ?lGe%xn ra tr"ng n5c Fm"C3 Ch" .%St9 ~pFR?a0G ~pR?a0G N:?a0G N?G HF?lG
o
SH F@+ ?D!"lG :@o+@i : Bo+o :FEi+mo E+Fm :F@m+i?ii:;hng tr6nh %"n cQa 'h#n ^ng9~pFR?a0GR BHR?a0GR N:?a0G~pR?a0GR N?GR FHF ?lGH=3 oSH F@+ ?~pR+a0GR
o
SH F@+ ?NGRF3 o
SH F@+ ?HF?lGG3 o
SH F@+ ?~pFR+a0G: o
SH F@+ ?N:+ a0G
= 3?:Bo+oG R E+Fm R F3?:F@m+iG R 3@o+i R FEi+mo = :1m+?G%>" :1G k" V$nh H+ cQa c$c 'h#n ^ng9 CnHFnR HFCnHFnRF FG Kh% ]t ch$y h"n t"n F an"!p J cQa e gluc" !w% th^ 1 !"l $' Vut hMng %+ ng% ta " Lch%u ^ng nh%t cQa c$c 'h#n ^ng mEEK lqn lLt .Ung9:FoE+E J : F@Em+1aG Tnh ]% J5% !w% 'h#n ^ng3
.G Tr"ng F 7T;h#n ^ng trn c,9 n = 1:F = :1 H = >T H FG CiH1FiR iFiCFR iHF?G= H?G: n3>T = : Fo i3@+1B31E:3mEE = :F@FB?G?G= H?G: n3>T = : F@Em+1 i3@+1B31E:3mEE = :F@E ?G
oH = i3o
COSH G? F R i3o
OHSH G? F :o
SH G?oH = i3
o
COSH G? F R i3o
OHSH G? F :o
SH G?
oSH G? :o
SH G? =oH :
oH = :F@Em+1 R Fo = :i+1?G
oSH G? o
SH G? e
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Chuyn NHIT HA HC Trang 11
F
AF?G _ C than ch6 C %! cng
: y ?aG ?.G9
C than ch6C %! cngo
kcSH G? = 1+@ D!"l: y ?cG : ?7G9
F
AF?G?G
o
OSH G? = 1+@F D!"l
FG NSu c"% c, cu tr2c J}ng n9
o OSH G? =o
OlkH G? :F
A oOlkH G? F
= 3?:1o+BG :F
A3?: B+FBG = Fi+EB ?D!"lG 1+@F?D!"lG
c, cu tr2c J}ng n rt hMng .n cu tr2c ny hMng ch' nhPn Lc3
%>" 4:ntan'% V%nh t%u chujn cQa CH B?GJ CFHi?Glqn lLt .Ung :oB+@E J :@B+iE D!"l3 Tnh pntan'% t%u chujn cQa C BH1E?G3d%n luPn J St 0u# thu Lc3 Ch" .%St pntan'% thng h"a cQa than ch6 J nng lLng l%n St H: H lqn lLt .Ung9 o1E+iJ : B1+im D!"l3?ii:
* ?1G C than ch6R FHF ?GCHB?Go
CHSH B+ =:oB+@
?FG C than ch6C ?Go
thH = o1E+i
?G HF ?GFH ?G lkH = B1+im y ?1G ?FG R F3?G ta Lc9
C?GR BH?G CHB?Go
CHtungSH B+D+ = :1iB@+o?D!"lG
Nng lLng l%n St trung .6nh cQa l%n St C H l9B
1?:1iB@+oG = : B1F+1om ?D!"lG3
* ?BG FC than ch6R HFCFHi?Go
KHCSH G+? iF = :@B+i ?D!"lG
y ?BG F 3?FG R 3?G ta Lc9FC?GR iH?GCFHi?G
o
HCtungSHiF
+D+ = :F@EE+om ?D!"lGC"% C Htr"ng CHBJ CFHinh nhau th69
C: C= =1@EE+om i?: B1F+1omG = :Fo+o?D!"lG* C"% C:H_ C: Ctr"ng c$c cht CHB+ CFHi+ CBH1Eu nh nhau th69
o
HCtungSH1EB
+D+ = 3 C: CR 1E3C: H = 3?: Fo+oG R 1E? :B1F+omG = :m11E+i ?D!"lG
* ?mG BC?GR 1E H?GCBH1E?Go
HCtungSH1EB
+D+ = :m11E+i ?D!"lGy ?FG3 B R ?G3m R ?mG ta Lc9
BCthan ch6R mHF?GCBH1E?Go
HCSH1EB
+ = :1E+m?D!"lG
* KSt 0u# thu Lc chO l gqn 2ng 7" c"% l?C CG+ l?C: HGtr"ng !Z% trng hL' l nh nhau3 4 J6 JPy V hMng tnh rLc
o
SH cQa c$c vng 'h(n h$c nhau3
%>" O: Tnh H"cQa c$c 'h#n ^ng Vau91G ~pF?rGR FAl?rGF~p?rGR AlF?rG ? 1G
Ch" .%Sto
O!S rH
G?F+ = :@FF+F D!"l_
o
O"lS rH
G?F+ = :1ioi ?D!"lG
FG k?rGRF
AF?Gk?G ?FG
d%St ?G 9 k?rGR F?GkF?GoHF@ = :Fi+i
?BG9 FkF?GR F?GFk?GoHF@ = :1m+i
T St 0u# thu Lc J h# nng 7%xn .%Sn thYc tS cQa F 'h#n ^ng trn c, th- r2t ra St luPn g6s?ii:
1Go
#uH G1? =o
O"lS rH
G?F+ :
o
O!S rH
G?F+ = :1ioi R @FF+F = : @m+@?G
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Chuyn NHIT HA HC Trang 1F
FGo
#uH GF? =o
#uH G? RF
1 o#uH GB? = :Fi+i :
F
131m+i = :B+m@ ?G
K9 Ha% 'h#n ^ng ?1G+ ?FG u t"# nh%t !Te" c$c 'h#n ^ng aG+ .G+ cG c, n = E nn " = H"
;h#n ^ng 7G9 "= H": n3>T = :1m+i R 13@+1B3 F@+1m3 1E: = :1+m ?GFG n?rGR HFkB?77GHF?GR nkB?77GTr"ng ."! nh%t lLng S c, 4 = c"nVt3
= : o1+B@3@+imDi+F
1= :1BF+i ?D!"lG
H = R n3>T = : 1BF+i R 13 @+1B 3F@+1m 31E: = : 1BE+m ?D!"lG
%>" W: Tnh H"cQa 'h#n ^ng tng hL' 1 !"l a7pn%np CmHmNm?rGt m !"l HCN?G3
Ch" .%Sto
kCHSH G++ B = : oB+@ ?D!"lG_o
kNHSH ++ = :Bi+1D!"l_o
r$d!ninSH G?+ = 1+1 D!"l
4 CHB?GR NH?GHCN?GR HF?G H"= Fm1+F 3!"l:1
?ii:
?aG 9 Cgr R FHF?GCHBo
kCHSH G++ B = :oB+@ ?D!"lG
?.G 9F
1NF?GR
F
AHF?GNH?G
o
kNHSH ++ = : Bi+1D!"l
?cG 9 mCgrRF
mHF?GR
F
mNF?GCmHmNm?rG
o
r$d!ninSH G?+ = 1+1 3!"l:1
?7G 9 CHB?GR NH?GHCN?GR HF?G H"= Fm1+F 3!"l:1
Ta ly9 :m 3?aG R :m 3?.G R ?cG R :m3?7G ta Lc9mHCN?G CmHmNm?rGH"?BG= Fm1+F D!"l
%>" 1X:
Tnh nh%t th"$t ra h% tng hL' 1og NH 1EEEK3 d%Sto
kNHSH G+?F@+ = :Bi+F 3!"l:1
G+? kNHPC = FB+o R o+B@31E:T !"l:1K:1
G+? F kNPC = Fo+@ R B+1@B31E:T !"l:1K:1
G+? F kHPC = F@i R 1+1o31E:T !"l:1K:1
?ii:
F
1NF?GR
F
AHF?GNH?G
o
kNHSH ++ = : Bi+FD!"l
C;= G+? kNHPC :F1 G+? F kNPC :
FA G+? F kHPC
= : FB+o R o+B@31E:T :F
1Fo+@ R B+1@B31E: :
F
AF@+i R 1+1o 31E:T
= : F+1 R 1+mB131E:T
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Chuyn NHIT HA HC Trang 1
= oH1EEEoHF@ R dTCP+
1EEE
F@ =
oHF@ R dTTG1E3mB1+11+F?1EEE
F@
+
=oHF@ R G
F1E3mB1+11+F?
F1EEE
F@
TT +
= : Bi+F31ER1+mB1 31E:3F
1?1EEEF:1@FG F+1?1EEE F@G= : mBiB+1@ ?D!"lG
Kh% tng hL' 1o g NHth6 nh%t lLng t"# ra l9
=1o
1oEEE 3?:mBiB+1@ 31E:G = :mBiB+1@ ?G
%>" 11:Tnh nng lLng ! J chP' nhPn hMng % tr"ng %u %n ch" cQa .% t"$n3
Tnh th- tch cu]% cXng cQa h+ nh%t + .%Sn th%n nW% nng J cMng tr"ng !w% 0u$ tr6nh n,% trns?ii:
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14/26
Chuyn NHIT HA HC Trang 1BaG T = c"nVt = E_ H = E = R = E = :
= : =F
1
F
1
3V
dVnRTdVP = : n>Tln
1
F
V
V
45% h l tng9 ;1341= ;F34F 1
F
V
V=
F
1
P
P 4F=
F
1
P
P3 41=
1
1E3 1E = 1EE?lG
= :?n>TG3ln F
1
P
P
= :1E31E 3ln 1E = FE+Fm ?l3atG = FE+Fm 31E1+ 31E:= F+F ?G = : = :F+F ?G
.G = E
= = n3 VC 3 T = F
33
3
1
11
TR
VP3>?TF T1G
= =F
3
3
1
11
T
VP?TF T1G
Thp" ;T '"%VV"n9 T34: 1= c"nVt
4 =P
nRTT3
1
P
nRT= c"nVt T3;: 1= c"nVt
T .P =T# .P#
TT#
= P#P
TT#
P#P
=
1: 1:
1:1:
T#=T. =#2/+ .P#P
1:
1
1:
=!P!V
!VR
!V
/# R R
R=+
/=
-=- 1 = = /
#
1:
+/
+
/
/#
T#=#2/+ .(1)-1=1*2 (7)
% =8 = . (1*2 - #2/+) .1// =,*0(3)#2/01 .1
V#= = /,* (") .#2/+1.1.1*2
P#.T
P.V.T#
cG = E =
n3 VC ?TF T1G = :;ng3?4F 41G = :;F3
1
1
F
F
P
nRT
P
nRT
n3F
A >?TF T1G = :n>31
1E11F TT TF = E+iBT1
V#= = 0(")T. 1.1.10T
P#.T
P.V.T#=
= = :;ng?4F 41G = :1?iB 1EG = :mB?l3at!G= :mB?l3at!G 31E1+ 3Dl3at! = : mBo1+@F ?G
%>" 1$ :
;h#n ^ng Vau9 Ag RF
1ClF= AgCl
b#y ra 75% $' Vut 1 at! J Fm"C t"# ra 1 nh%t lLng l 1Fi+mii 3
NSu ch" 'h#n ^ng , #y ra tr"ng 1 nguyn t] ganJan% ;+ T = c"nVt th6 h"$ nng V Lc chuy-n thnh %n nng J V#nra cMng = 1E+iFF 3Hy ch^ng t/ rUng tr"ng c# F trng hL' trn+ .%Sn th%n nW% nng cQa h Jn chO l !Wt+ c}n nh%t th6 h$c nhau J tnhg%$ tr[ .%Sn th%n nW% nng ,3?ii:
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Chuyn NHIT HA HC Trang 1m: e" l h! tr
8/11/2019 Chuyn Nhit Ha Hc
16/26
Chuyn NHIT HA HC Trang 1i
R E+m3E+F 3?oo oG RF
1E F3E+m ?ooF oFG = m1oF?G
%>" 1O: Tnh VY .%Sn th%n pntr"'% cQa 0u$ tr6nh un n,ng E+m !"l H F t mE"C Sn mEE"C ; = 1at!3 d%St nh%t n,ngch#y cQa n5c FoK = iEEBD!"l_ nh%t .ay h% cQa n5c FoK = BEiiED!"l3 Nh%t 7ung !"l zng $' oPC cQa n5c
$ J n5c l/ng lqn lLt .Ung m+mi J om+D!"lK_ oPC cQa h% n5c l ?E+F R 1E:FTG D!"lK
?ii:
HF?rG HF?rG HF?lG HF?lG HF?hG HF?hGk1 kF k kB km
ooKoKoKFoKFoKFFK
" " " " "
kF kA kB km " " " "
= R R R Rk"
k1"
= n3
++++
Fo
FF
o
Fo
oo
o
G?G?G? 3o3
Fo3
T
dTC
L
T
dTC
L
T
dTC hP
hlP
ncrP
=E+m3
+++++ Gooo?1E
o
ooln3F+E
o
BEiiE
Fo
oln3+om
Fo
iEEB
FF
Foln3mi+m F u W$;vwK)
%>" 1:Tnh VY .%Sn th%n pntr"'% h% trWn ln FEEg n5c 1m "C J5% BEEg n5c iE"C3 d%St rUng h l cM lP' J nh%t7ung !"l cQa n5c l/ng l om+ D!"l3K
?ii:Z% T l nh%t W cQa h Vau h% 'ha trWn3e" thu= t"#nn9
1@
FEE3
PC ?T F@@G = 1@
BEE3
PC ? TG
T F@@ = F3 FT T =
F@@3F += 1@?KG
k h= k1R kF=T
dT3+om3
1@
FEE1@
F@@ R T
dT3+om3
1@
BEE1@
= 1@
FEE3om+ ln F@@
1@R 1@
BEE3om+ ln AAA
A1@
= m+o@ ?DKG Eu$ tr6nh Van .Ung nh%t W ny tY #y ra3%>" 1W: Tnh VY .%Sn th%n pntr"'% J cQa VY h6nh thnh 1 !"l hwn hL' h l tng gv! FE NF_ mEHFJ ENHthp" th- tch3 d%St rUng hwn hL' h Lc t
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8/11/2019 Chuyn Nhit Ha Hc
18/26
Chuyn NHIT HA HC Trang 1@dTN= : = FFo+F?Gkt'= k!tR kh
kh?dTNG= kh?TNG=T
QTN = =
T
&'F
1 T
dTnCV R dV
V
nRF
1
= n>ln1
F
V
V= n>ln
F
1
P
P
= 13@+1B 3ln1
1m= FF+m1m?DKG
k!t=T
Qmt = :
T
Qh! =
EE
F+FFo= :o+oi?DKG kt'= FF+m1m : o+oi = 1B+omm ?DKG
?u$ tr6nh g%n n ny tY #y raGcG \"
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Chuyn NHIT HA HC Trang 1
41=F
F
P
nRT= 1+iB?lG
= = 13F
A3@+1B3?1@@: EEG = :1i+omF?G
kt'= kh=T
QTN = =
T
&'
F
1
T
T
VT
dTnC R dV
T
PV
V
F
1
= F
1
lnT
T
V TdnC R dVV
nRV
V
F
1
= nC4ln 1
F
T
T
R n>ln 1
F
V
V
= 13 F
A
3@+1B3ln AEE
1@@
R 13 @+1B 3ln iB+1
B1i+1m
= 1F+@E1?DKG E
%>" 2$: Tnh EFoG cQa 'h#n ^ng9 CHB?G R HF ?GC?GR HF?Gd%St9 CHB?G HF ?G C?G HF?G
EF@+SH ?D!"lG : oB+@ : FB1+@ :11E+m E
EF@S ?D!"lKG 1@i+F 1@@+o 1o+i 1E+i@B
aG T g%$ tr[ Et6! Lc c, th- St luPn g6 J h# nng tY 7%xn .%Sn cQa h# nng 'h#n ^ng o"Ks.G T" 2: ntan'% tY 7" chujn cQa 'h#n ^ng t
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Chuyn NHIT HA HC Trang FE
cG ETG =ETH : T3
ETS
45% 'h#n ^ng h"$ hZc T = c"nVt3 NSuE
G E ;h#n ^ng tY 7%xn .%Sn thp" ch%u ngh[ch3EG = E 9 ;h#n ^ng trTln ch^ hMng 'h#% 7Ya J" E3@uy nhiAn7 c thB coi rCng ETG -- . th0 )u( tr0nh c thB xy ra !#c c D !iEu kin chuFn G !iEu kin thHc' Ihi
E
TG -- . th0 GE nguyAn tJc chK c )u( tr0nh ng#c l&i mi xy ra7 khLng thB x(c !Mnh !#c chnh x(c gii h&n cOaE
TG m tho ! )u( tr0nh xy ra tho chiEu ny hay chiEu kh(c' "t c(ch gRn !Sng c thB coi rCng c(c gii h&n nykhong chTng 6. kU9mol,'
%>" 2O: Wt h l tng c, C4= > hMng 'h8 thuWc T Lc g%n n "" 2: Tnh cht nh%t Wng cQa !Wt V] 'h(n t) J %"n tr
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Chuyn NHIT HA HC Trang F1
: tt= : F
1
3dVP = :;3 4 = :n?G3>T
= 3 @+1Bm3F@+1m = oBi+?G: = E
.G u$ tr6nh thuPn ngh[ch9: TN= T3 k = F@+1m ?:oB+oBG = : 111oF@+o1?G: !a= = :F1E@+Fo?G E 9 H V%nh cMng: tt= : n?G3>T = oBi+?G E9 h nhPn cMng
G aG u$ tr6nh .t thuPn ngh[ch9
k!t =T
Qmt = :T
Q(TN = :T
HE= :
1m+F@
1E3FFFE = oBBm+ 1i ?DKG
k J tr8= k!t R k h= oBBm+1i : oB+oB = oEo1+1oi?DKG.G u$ tr6nh thuPn ngh[ch9
k!t =T
Qmt = :T
QTN = GD?oB+oB1m+F@
o1+111oF@K%=
k J tr8= k!t R kh= EBG C$c n)a 'h#n ^ng9
An"t9 CH@R FiH: FCO R 1oHF R FEpCat"t9 F R FHF R Bp BH:
;h#n ^ng tng cWng9
CH@?G R mF?GR iH:?a0G F
G? $)CO R oHF?lG
k v '%n9?:G ;t+ CH@?1at!GDKH?mG+ KFC?1GD F?1at!G+ ;t ?RG
E#uH = ?:ioo+1BG R o3?:F@m+@G R 1E+@m : m3E : i?:FF+G = :FmB@+BB?KGE
#uS = 3?:mi+G R o3i+1 : Fi+1 : m3FEm+1@: i?:1E+oBG = :1F+B?KGE#uG =
E#uH = T3
E#uS = :FmB@+BB R F@+1m31F+B31E: = : FFoi+?KG
E
#u* = : nG
E
= iB@m3FEFFoi
= 1+1@?4G
= E: mi
F
F@33
lg
FE
EmF+E
OHC PPOH
CO
= 1+1@ :FE
EmF+Elg?mG:i= 1+1?4G
; = 3I = 1+1 3E+1 = E+11?G
%>" 2W: Tnh .%Sn th%n pntr"'% h% chuy-n B1@+B nh%t t JPt c, tE= 1mE"C Sn JPt c, tE= mE"C3?ii:u$ tr6nh .%Sn % trn l hMng thuPn ngh[ch Lc c"% nh gv! 0u$ tr6nh .%Sn th%n thuPn ngh[ch91G 4Pt 1mE"C truyn nh%t thuPn ngh[ch T = c"nVt3
k1= T
Q= 1m+Fo1mE
B+B1@
+
= : E+@?DKG
FG H .%Sn th%n "
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22/26
Chuyn NHIT HA HC Trang FF
+o! &o" $#9 " -+o! &o" $#9(r)
(/)
ABTN=J
()(K@< trnh TN Lo$#9 hMi bo ho;nO& cn bOng Q i $#9("))
- +o! &o" $#9
#* Torr
(#)-+o! &o" $
#9 (h)
#+ Torr
?1G+ ?G l 0u$ tr6nh chuy-n 'ha thuPn ngh[ch1 = = E
= F= n>Tln1
F
P
P= 13@+1B3 Fm@+1m ln
BF@+1
F1m+1 = :Bi+i@o?G
%>" $1: C, 1 !"l Fnguyn cht Fm"C+ Fat!+ 1 !"l Fnguyn cht Fm"C+ 1at!1 !"l F Fm"C tr"ng hMng h trn !`t t ?; = 1at!+ Fch%S! F1 4 hMng hG: k" V$nh g%$ tr[ h! cQa 1 !"l Ftr"ng trng hL' trn hn ! nhau .a" nh%u s3 T , r2t ra St luPn9 Kh# nng
'h#n ^ng cQa Ftr"ng !w% trng hL' trn ca" hay th' hn V" J5% trng hL' h$cs?ii:
* El h! %.. cQa 1 !"l F 1at!: 1 !"l F+ 1at!+ Fm"C 1 !"l F+ Fat!+ Fm"C ?EG ?1G
1= 1: E= n>Tln1
F
P
P= 13 @+1Bm 3F@+1m3ln
1
F = 1o1@+F?G
1 E3: Z% F l h! %.. cQa 1!"l F Fm"C tr"ng hMng h ?E+F1 at!G1!"l F+ Fm"C+ 1at! 1 !"l F+ Fm"C+ E+F1at! ?EG ?FG
F= F: E= 13 @+1Bm 3F@+1m3ln1
F1+E = :@i@+@?G
F E34Py9F?1!"l F+ Fm"C+ E+F1at!G E?1 !"l F+ Fm"C+ 1at!G 1?1 !"l HF+ Fm"C+ Fat!G: 1 cht c, h! cng ca" th6 cng ! .n 1 !"l F Fm"C+ Fat! c, h# nng 'h#n ^ng ca" nht c}n 1 !"l FnU!tr"ng hMng h th6 . nht c, h# nng 'h#n ^ng ! nht3
%>" $2: Nh%t h" tan ?HhtG E+ioFg 'hpn"l tr"ng 1m+g cl"r""! l :@@ J cQa 1+mig 'hpn"l tr"ng 1B@+igcl"r""! l :1oF3Tnh nh%t 'ha l"ng ]% J5% 7ung 7[ch c, nvng W nh 7ung 7[ch th^ F ch^a 1 !"l 'hpn"l h% 'ha l"ng Sn nvng W cQa7ung 7[ch th^ nht .Ung cl"r""!3?ii:
,g phGno" !$!"/ LL # LL $ pha "ong!$!"/$ht (#)
$ht()
$ pha "ong= $ht()- $ht(#)
=- .(-2#) (-**) =- #11*2(3)102#,
+0,,
%>" $$: Nh%t h" tan 1 !"l KCl tr"ng FEE !l n5c 75% $' Vut ; = 1a!t l9 tEC F1 F
H 1@+1mB 1o+@FB ?Gb$c [nh HF@J V" V$nh J5% g%$ tr[ thYc ngh%! l 1o+mo@ ?G?ii:Thp" [nh luPt K%rchh"9HFB= HF@R C;3?FB : F@G = 1@+BmB ?GHF@i= HF@R C;3?Fi : F@G = 1o+@FB?G
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23/26
Chuyn NHIT HA HC Trang F
HFl@ = 1o+BB ?G
C;= :E+1im ?DKG
HFl@?TG: HFl@?TNGHFl@?TNG
E+B@
4Py HF@tnh Lc thp" l thuySt Va% h$c J5% g%$ tr[ TN l E+B@3
%>" $: Tnh
k cQa 0u$ tr6nh h"$ h% !"l HF ?lG Fm"C+ 1at!3
Ch"9 Hhh+ HF?lG= BE+imi D!"l_ G?+ F lOHPC = om+F1 ?DK3!"lG_ G?+ F hOHPC = +m@ ?D!"lKG?ii:bt chu tr6nh9
#+o! / &o" $#9(") at& #+o! / &o" $#9(r) at&
11o! /&o" $#9(")at& 11o! /&o" $#9 (h)at&
5
5
5#
5/
k1=TQ1 =
F
1
33 G?
T
T
lPTdTCn = nC;?lGln
1
F
TT = 3 om+F13ln
1m+F@1m+o = mE+i@FF?DKG
kF=T
QF =T
Hn lhh33 = 31m+o
1E+imi+BE = Fi+@iEm?DKG
k=T
Q = 1
F
33 G?
T
T
hPT
dTCn = nC;?hGln
1
F
T
T= 3 +m@3ln
1m+o
1m+F@= : FF+iEBB?DKG
k = k1R kFR k= mB+@ ?DKG
%>" $:
aG Tnh cMng tr"ng 0u$ tr6nh ]t ch$y 1 !"l rLu ptyl%c c J Fm"
C3.G NSu HF 73T = @+1B3F@1m = FBo@+@F ?G
.G NSu HF 7T = :F 3@+1B 3F@+1m = : Bmo+iB?G
%>" $4: Tnh k+ tr"ng 0u$ tr6nh g%n hMng thuPn ngh[ch F !"l h l tng t Blt Sn FE lt mB"C3?ii:46 k+ l c$c h! tr" $O: Wt .6nh c, th- tch 4 = m?lG Lc ngn l! F 'hqn .Ung nhau3 ;hqn 1 ch a NF F@K J $' Vut Fat!+ 'hqnF F@K J $' Vut 1at!3 Tnh + H+ k cQa 0u$ tr6nh trWn ln F h h% ng% ta ./ J$ch ngn %3
?ii:
T = F@K _ 4.?NFG = 4.?FG =F
m?lG
k = k?NFG R k?FG = FNn 3>ln1
F
V
VR
FOn >ln
1
F
V
V =
RT
VP NN FF 3 >lnm+F
mR
RT
VP OO FF 3 >lnm+F
m
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24/26
Chuyn NHIT HA HC Trang FB
= Fln33
FFFF
T
VPVP OONN + = E+E1oB?l3atDKG = E+E1oB 31E1+Fm = 1+oi ?DKG
: u$ tr6nh zng nh%t H = E = H : T3 k = : F@ 31+oi = : mFm+oB ?G
%>" $: Ch" c$c 7& l%u Vau (y F@K
Cht ESH ?D!"lKG kE?D!"lKG 4?!D!"lGCthan ch6 E+EE m+ii m+131Ei
C%! cng 1+E F+BFo +B1i31E:i1G F@K c, th- c, !Wt 'hqn rt nh/ %! cng cXng tvn t" $W: ;h#n ^ng g%&a n J 77 CukB#y ra tr"ng ]ng ngh%! t"# ra lLng nh%t FE+oi3 Cng 'h#n ^ng trnch" #y ra tr"ng '%n %n th6 !Wt 'hqn h"$ nng chuy-n thnh %n nng3 CMng %n cQa '%n l F1E+ioF3 Ch^ng !%nhrUng9 cQa F 0u$ tr6nh hMng %+ nhng nh%t t"# ra thay %3 Tnh k cQa 'h#n ^ng+ k!tJ kt's Ch" T = EEK?ii: n R CukB= nkB R Cu: Kh% thYc h%n tr"ng ]ng ngh%!9 ?T%Sn hnh .t thuPn ngh[chG4n
4Cu
tt= E _ = E
dTN = dTN= H = :FE+oi: Kh% thYc h%n 'h#n ^ng tr"ng '%n %n ?0u$ tr6nh thuPn ngh[chG!a= : F1E+ioF ?G = !a= :F1E+ioF?GHTN= HdTN= : FE+oi?GTN= T3 k = H : = :FE+oi R F1E+ioF = :FE+EiB?G
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25/26
Chuyn NHIT HA HC Trang FmTN= R R ;3 4 = :FE+EiB = F1E+ioF R E = :FE+oi ?G = dTN
: kh=T
QTN = :EE
1E3EiB+FE = ii+@@?DKG
k!tdTN= :T
Q(TN =EE
1E3oi+FE = oi+1F?DKG
kt'?dTNG= oEF+FB?DKG
k!t?TNG= :
T
QTN = :khkt'?TNG= E
%>" X:: '= !a
bt 1 'h#n ^ng thuPn ngh[ch tr"ng '%n %n th6 '= !a E : Nhng !Wt hZc V%nh J%St rUng9Tr"ng !Z% 0u$ tr6nh luMn c,9 k J tr8= k!tR k h ?1G H!t= : H h ?FG
k!t=T
Hmt = :T
Hh! k J tr8= :T
Hh! R k h
T3 k J tr8= : H hR T3 k h = : h45% 0u$ tr6nh thuPn ngh[ch th6 k J tr8= E h= E '= EHy g%#% thch !(u thun ny3?ii:?FG chO 2ng h% ng"% cMng g%n n h hMng thYc h%n cMng n" h$c9H = R ;3 4 = H : ;3 4 = : = ?H : ;3 4G : ?:;3 4 R G h= H h: = : H !tChO h% = E th6 H!t= : H h* Tr"ng '%n9 !a= E nn H!tH h3%>" 1: bt 'h#n ^ng9 n?rG R CuFR?a0GnFR?a0GR Cu?rG7%xn ra tr"ng tc Fm"C3aG Tnh + + + H+ + k cQa 'h#n ^ng %u %n trn3d%St9 nFR?a0G n?rG Cu?rG CuFR?a0G
EF@+SH ?D!"lG :1mF+B E E iB+
EF@S ?D!"l3KG : 1Ei+m B1+i + : @+o
.G bt h# nng tY 7%xn .%Sn cQa 'h#n ^ng thp" F c$ch h$c nhau3cG NSu thYc h%n 'h#n ^ng trn 1 c$ch thuPn ngh[ch tr"ng '%n %n th6 c$c St 0u# trn c, g6 thay %s Tnh '%ns?ii:
aGE#uH =
E
+ F+
+nSH R
E+CuSH : +
E++nSH
E
+ F+
CuSH = :1mF+B : iB+ = :F1i+o ?G
E
#uS =E
G?F $)+nS + R
EG?rCuS :
EG?r+nS :
E
G?F $)CuS + = :1Ei+m R + : B1+i R @+o = :1i+1 ?DKG
E
#u
G
=
EH
: T3
ES
= :F1i+o R F@+1m 31i+131E:= :F11+?G
"= ;=E#uH = :F1i+o ?G
= E_ 0u$ tr6nh dTN_ = E
.G *E#uG = :F11+ ?G E ? : BE G
e"E#uG rt (! nn 'h#n ^ng tY #y ra hMng nh&ng c ! c}n c# c$c %u %n h$c n&a3
* k!t=T
Qmt =T
Hh!E
=1m+F@
1E3o+F1i = oFo+1F ?DKG
k J tr8= k hR k!t= :1i+1 R oFo+1F = o11+EF ?DKG46 k h cM lP'= k J tr8= o11+EF ?DKG E
u$ tr6nh l .t thuPn ngh[ch 'h#n ^ng tY #y ra3cG Kh% thYc h%n 'h#n ^ng trn TN tr"ng '%n %n th6 c$c g%$ tr[ HE+ kE+ E+ EhMng thay % 7" H+ k+ + l c$ch! tr
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Chuyn NHIT HA HC Trang Fi
k!t=T
Qmt =T
Qh! = 1i+1 ?DKG k J tr8= k!tR kh= E
'%n= :n
G E=
iB@m3F
F11E1+1?4G
%>" 2:\]% J5% nguyn t] \an%pn 1m "C ng% ta $c [nh Lc V^c %n Wng = 1+Eo4 J h V] nh%t W cQa V^c %n
WngT
*
= E+EEEBF 4DK3 Hy tnh h%u ^ng nh%t cQa 'h#n ^ng h"$ hZcs
?ii:
= : n~ T
G
= : n~3
T
*
= : k k = n~ 3
T
*
H = R T3 k = n~3?T3T
*
: G
H = F3 iB@m 3?F@+1m3E+EEEBF : 1+EoG : : 1@o1iF+m?G%>" $: Ch" 'h#n ^ng h"$ hZc9 n R CuFRnFRR Cu#y ra !Wt c$ch thuPn ngh[ch zng nh%t+ zng $' Fm"C tr"ng nguyn t] anJan%3k^c %n Wng cQa nguyn t] " Lc l 1+14 J h V] nh%t W cQa V^c %n Wng l
PT
*
= +31E:m
?4DKG3aG Tnh h%u ^ng nh%t + .%Sn th%n %' J .%Sn th%n pntr"'% k cQa 'h#n ^ng h"$ hZc ch"3
.G Tnh tncQa 0u$ tr6nhscG NSu cng 'h#n ^ng h"$ hZc trn thYc h%n cXng nh%t W J cXng $' Vut nhng tr"ng !Wt .6nh cqu thng th6 c$c g%$tr[ cQa + k V l .a" nh%us?ii:aG = : n~ = : F 31+1 3iB@m = : F1FFio?G
k = :T
G
= n3~ 3T
*
= F 3iB@m 3+ 31E:m= i+i@ ?DKG
H = R T3 k = F1FFio R F@+1m 3i+i@ = :F1Ei@+B?G
.G tn= T 3 k = F@+1m 3i+i@ = 1@@+iF ?GcG NSu 'h#n ^ng h"$ hZc thYc h%n cXng nh%t W+ $' Vut nhng tr"ng 1 .6nh cqu thng t^c l thYc h%n 0u$ tr6nh !Wtc$ch .t thuPn ngh[ch th6 + k cQa 'h#n ^ng Jn nh c(u ?aG3 e" + k l c$c h! tr