GATE Chemical Engineering 1995

8/20/2019 GATE Chemical Engineering 1995

http://slidepdf.com/reader/full/gate-chemical-engineering-1995 1/7

w w

w . e x a

m r a c e

. c o m

IGATE - 1995

1ul 1

CHEMICAL N G I N R ~

: : : = : = : : : : = = : : : : : . J

SE TION··

(

1

Mlll ka)

Choose the

ro r

rerl

an

swer a

nd

' indica

te

the

co

n-esponding capital l

et

ter

A.

8, C oo 0 in

your answe.o·

book.

(23

X

1=23

l'he

tank ofmn ln» I)

~

ts

3 o

a.

l i

b I

C-

2

d 3

2 The angle

between 111

o

·vec tors

il 7-k and T+/+ lk is

3,

-

1

.5.

a ll

b. 300

c. 45°

d.

( ll

Dunng

coking

of

coal.

tba

nsh conJent

(percenlllge)

;1

i

ncre ses

b. decreases

c

re

mains

constant

Joggong

os

.a

techmque

by

11hooh diiTerenl

pa

rticles can be

n. Sepurat

ed

by particle

size

b.

separ ed br

par1ic

le

den

sity

c. separ

ated by

panicle shape

d.

mixed

A panicle attains its temtinal s

etUing

velocit)

w1Jeo

a.

force + drag

force

= buoyanC)

force

b

gra1

It)'

force -

drag force

=

bu

oyancy

force

c, buovancv

force+ dmg

force

= Gravct)

'

Co

ree

d drag Ioree

= y

force

for un Ideal Ouid no

11

tha-

Reyl)old

s

number1s

a. 21

)()

b t O(I

c t.ero

d.

infinity

7. A

flu

id merw· mi ll is USed for

a curhng

b

gnnding.

c. wlrs

grinding

d. crush

i

ng

Fo r an tdenl mixed

now

react

i

on (CSTR)

~ t e

exit ngedistrib

uti

oo E(

ll

is

gil'eo

b,v

a. a dirac dellll function

b. a

step

fLmcuon

c a

ramp functi

on

d,

none

of

he

abo ve

The con

version

ru1d res

1deoce tu11e

data

are

collected

for zero order

liqutd

phase

reach

on

ln

n

stirred

tank reactor. hicb oi

the

following will ben straight line

a.

X

rsr

b

x-

1

I n r

c.

Y,,/ 1 - .\' t r

d.

X,,

(I

- X

1

)1 'ST

I C

The dtmenstons

of

mte

co

nstant t·

or

reactton 3A -+

B are

g m o l ~ t n t n .

Therefore

the

~ a c t i order is

a. (I

b. I

c. 2

d 3

t

A

l iiSI. orde.r-

reactton

A S occurs in

an

isothennal

porous

catalyst

pellet

of

spherica l

shape

. If

the

concentrauon

of A

at the

centreof the

pellet ts

much less t

han

~ u n

at

~ 1 e

e.

\1emal

surface, the process is

limited by

n. doffusion 11

i

thin

the

pellet

b.

reacto

on

c. external mass transfer

d noneof

he

above

12. A i d i ~

transfonned into vapour

without

going tb.rough tl1e Liquid

ph.ase al

a.

t

ripl

e

point

b

botling point

c.

below

trip

le

poont



w w

w . e x a

m r a c e

. c o m

13.

d. a)WDY•

Al Ihe ln

vcn<ion

point. the

J o u l ~ >

nwmpson codliciem

is

.

< ~ .

posito

ve

lJ, negotlv<>

c zero

14

-

ll

te enorgy of g•s mol

cc.

u[I:Jl

ls

lS

.

zero at

t

. U C

b.

213

•c

c.

J

IJO

"C

d.

-273

(

l'llc b·au.rcr fuuctiou ilr a PD u M l J is

n. 1 - r ;> )

b.

K

(l

-1/ t"> )

.:.

K

r

nJ )

cl

,

16.

TI

1e offilct inlroduced

by

propo

rti

ou:tl

contro

ll

er wi

th gain K, in

r

osporun>

off

'

mt

order syst

em

""""

he reduc.ld

i>)'

n. n:duomg volue ofK ,

b, int

r<xlucjng jntegrul C lotrol

.:. introduc

ing de

rivative

.:antral

d. none of the above

17

. Bode diagram' nre gener>l

cd friJ

rn ouiJ)Ut

rcspot

15c of

" SIStcm

~ j c . : ~ Lu

which

o>fU1c

following

input

••

impul ;e

b.

"'"P

.:.

romr

d. srm"oid

nl

IS.

TI

1e

root locu•

me01od. •

po le

of

•

lrOD$ cr

li

metion

('l(s) 1S the va lue nl' 8 l

hr

"hich

G(s) illll>ro>cbes

•• -1

b. 0

c.

d. .,.,

19

. Gas chromatography Is used for

ll c; 1suromc:ut of

a. lcmpernturc

b. i ' I : . ~ U f e

c. nccnl.r:l lion

d.

Uow rotc

20. Ac<ordins to Dod. st.bllity

l'ntcroon. •

5Ybletn il> u n ~ t n b l e i the open fpop

frequen;:.y

respon,e

ex:htbits

-an

amplitude

2 1.

22.

lnC1

r.otio exc.:eding unit) at f r e q u ~ c

y

for

'

vhic

h

h ~ s e lAg is

•· o•

b. 45"

c. 90"

d. 180"

Tbe respvnse of hvo t•nks of •:om

c:-s

h e

uud

rosillllJJCC

h\

series

~

a. un

der

duntt>cd

b.

co

lically damped

c.

rwer

d.Jmpe

d

d.

none

1>1

tho ul

)(>V<

Th.: lranYdt fuuctiou ot' u p

un:

doaJ Lllru:

system with dead

t d is

l

d. e t l

23,

The

l-ime . o o n s o f ~ lir.;t

order pm"ess

wiU1 r ~ s i s l o o c e R >Od c>pocitanteC I

a.

R • C

b. R • C

· Rt

d. ltR C

i

e

1

1

•J,f

0

i 1•\f

~ I

( •] : fJf{

*

«l

Ch

o >'ic

lh r

'o rr

c.:

t

~ l r

nnd lndi

eQf<•

lh<

t ~ l lett•r . \. R. c. D

.:ase nu1y

be

in

yuur

answer

book

24.

25.

26.

(J.9 X 2 •

J8)

A function I(X) ~ 12.t · x

1

hos maximum

voluu n :<. -

•. -2

b. 0

"· 2

d. ru

I

.

lim

.\'

om- - =

o - 1 .\ '

b

I

"· 0

d.

-1

'l'he second order e r i e ~

e ' < p ~ n s i o n

for a function llx) - x·

al

x

• t

is

a. x

b. I x=-



w w

w . e x a

m r a c e

. c o m

'

.

'

. 1

x •,.-

27, The •veroge va

lu

e

or li•n

t ti1m Hl'J - ._.

in

the interva I () x

2 ;,

b. 2

c. 4

tL

a

28. An

o:vaporator

wh1Je

l:tlncentroting an

nqUQCJus solution from

lO lo 4 ( ) ~ . wli<4

c:Voporntos

30000 Kg of wnter. The

amoun

t of

solid•

h:m4led

bv

th

esvs

tem In

Kgls · ·

-

4\)CIO

b, Q ) )O

c. 46 10

d : ; ~ t t l

29

. 1000 KM of wet

~ o l l d ~

a ~ to

h.:

li·om

60°6

to

2 ~ ~ moisture (by \Ieight). ·

n,e

- i ~

uf moistun: n.moved in Kg i>

520

b. 200

i:.. 400

d.

500

30. A umin2 that C O ~ oboy$ pcrfcot

gas

low.

calculate the density

of

O ~ fin Kg/

tn

> at

· c atod

2 atm

.

.

I

b 2

c. 3

d..

4

3 I. Pure

0

ml1tcd with ::tir to p r o d u « an

"nrich

ed

a

ir

contolninj 50 volume ••

'rhe rolio of moles of air

lO 11.•ed

c•

•. 1,72

b. \).;Sll

c. o.s.

tl

0.2

32, Hyd r3ulic mtan m

e t < : t

tor tlow l.hn)t.tgh

packed

bed

of

$pherical

a 1 1 l d ~ of

$1'7.

o,

with porosity

t :

:L D

1

'

• 6 1-c::

b. D I 1 .:c

6 ..

.,_ n 21-><

d.

1:

. ]

E

3

uf1

113. Use

of

R.1>chig ring• in place of crushed

swne as

pacldn.g

in

packed

heds

(other

Ulings b c i n ~

~ a m e )

a. inereasds ptessu ' drop. im:.re.1ses

urfilt C aro s

b. increase·

c s s u

drop . dacrcases

o n

:

c

c

area

c.

c l e c r e 3 ~ e •

pressnre

llr<>p

,

in¢re:tM><

' n e c orea

d.

d e < : r e a $ ~

pressuro: tlrop.

decreases

r f i ~ c -

al'da

34. A Jtospeusiou o( uniform [Ja<ticlelltU. watet

at a

co

ncentration

of

500 l<g

of

so lido per

cubic meter of r r y t• sett ling in a tank:.

D ~ > i t y of l

lte

part

Mes

h 2500 l{g m and

terminal Wlodt_y o f ~ sluglo purliclo i

20

cmis. Wh

at

will be the scllli

ng vel

ocit

y

of

' ' ' P ' ' - ~ I o n

Richardson

and

~ i d i

nd

ex

is

4.1\.

a. 2\ cm/s

1> J4.,;

t:.

7,16 cutis

d. 3.58 " tn/S

35.

Bed

prossure

drop

in an I1ir OuiJl

ze

d bed

ofcl\IJJiysl·p•tticles 1p -

2000Kwm

3

• Dp

0.05 em)

of 60 em

bdd depil1 nnd

bed

J'Of<lSity ur 0.5

exp

ressed

in

Um or Water

tUlDilOtnti\CI')

is

I t 9

b.

GO

c.

d.

30

36. .-\ pilot lUll¢ indieot<•

S

CJII

of

\ ~ a l c r

~ n m c r ) wh

en it i•

being uaed for

m

o a ~ u n

g vei<Jdty QF ;oir. l

ne

veluc.it)• of

air in mrs

s

a. 5

b.

t4

.1

c., 56.22

d. 28.2

37.

In

tli>Lillati

on

wlt.:re-

q

deline<l

Ue

rnolCli of liquid

fl

ow ill l.he slrippitljl

scclion per molo qf food introduced. for

s n t u r ~ t e d l

iquid

feed

a. q > I

h.

q

I

<:.

tl

= I

d.

q= ll



w w

w . e x a

m r a c e

. c o m

3

8.

In

go,•

liquid

oonuct

operolion tlte

numl>e<

o de;

•

l•l•

gesl'-' - .r. ) (.1) - .\ , ) T h i ~

is tru" wheu the sU'fppiog,Lictor S is

a. S > 1

b.

s

<. 1

.: S • l

tL

.S

=

oc

39.

For

abstlrbmg a spnringly sotublt gas

in

•

liquid

gll l

' ide

tud>IS

t r ~ o s f c r

~ o c O i c i L n l

<hould

be:

im;nr.rscd

b. lic1uid moss trnns

tcr

coefficiem

should

be

increased

c:. liquitl i d e o n m s ~ tr;tnsfer coetncient

Nhould be

e : c r c ; a ~ c d

,1

m••• U ' 3 n ~ O F

r o d l i ~ i c : n l s

must

b c - ~ c p l

COtlSIOlnt

·

l11

c

.rotc

c:o

nsllml

of

•

chcmJ<:a

l n:oction

increoses

by

100 l,imcs when tltc

temperature is mcreased from 4{)0 K

to

500

K.

Assumiug tmndlion

m l ~ U u ~ o r y iA

\'ll lid,

Otc,•aluo ofEIR

is

L

89l 7

K

b

92

1

0K

c.

8764 K

d. 8621 K

-11 A closed s t c m

is coo

led c v ~ b l

y

lr

om

1

oo

•c to

5o

•r . If

no

work

ia

d

om: on

the

VS1¢tn

a. its intem•l enerl y

(L)

decreases. and

its entropy (S) increases

b. t:

•nd

S boUt de.::tea'"'

c. U

dcctL'li.C'S

but S

L

constnnl

d.

is

oonstnnt but S ,clect-.:oses

42. Idunlify

lUI

uubountlcd

iupuL

frvm

four

1" 1ul'<

whose

lnm

slet filn

ction5 ore

giwn

llclow

a. I

h

,,,

I'S

2

t l II(S

1

-

I \

..J3 Makh the ilems ln the left colunui

wiOt lh

e

oppropdM

e

it.mts

In

0 110

rigltl

eo

l

umn

(I) 1 - x•

m1

(A) limt u·0 .D

E.

(13)

noollnco

.rO.D.E.

(C) liu'"'r b r o k ~ X

D) llOnlln<iw'

•lg.:bra.ic

oqll.'ltioo

l u(1

14

.

1-®tch the item&

n

the Je

ll

column with tbc

Appropriateitemllln the

right

« ~ h u n n

(I

) dyldx - Sy = 0. y O )=y.

(J

I) 5

= O. y(t)) =

y.,

A) y : Y• + sx

(B)

y = ya-Sx

(C')

y

=

~ > <

(D)

y

:

y,.c'"

-IS M ~ i d t the

items in

the tell column wi th

th

e

appruprialc ill: ns

in ilic

i ~ l l < : < ~ l u l l J J L

(1)

o a ~ J >

y l i o rdonuiog

(II)

•

mok

e

puint

A) fti b

llpe.:d diesel

B)

korQ8cnb

(

C)

, g o s o I n ~

(D) ommaliC l

-16. l'vl.itlctl UtQ itoms in

tbc

~ t l columo wi

th

Ihe

appropriate

items m the

ng.hl

column.

(I) solulropic

sy>

timl

(II ) e

qu

ilibrium moi.jlurc Cllnlont

( i\)

cryslollfzttlion

(B) distill;1tion

(C) edrm:Lotl

('B) dl)ting

-17,

Ma lch

the

it

ems in

the tell column

with the

appropriate items

in Ihe righ

t

rotumn.

{I) vonturintell:l

fl

) wei

g.'IS meter

(A)

s

ta

tic

he.1d

) l:llergy

(C)

volumolrlc displocemeal

(d)

ftuict drng foroe

-lg

, Fill io t

he;

hl"nk.

9

(4 1= 4)

a. ltl 1>rocoss heal exchangers

s

team

is

~ r t e O\'er

1C3Jil..

h. H O JiaS lll

m o ~ . : r n t

l l t t =

usually

in

the s

ido

of

shell and

tube c x ~ h o n g c ~

AI higher

pressure.. it i. 5.-cll. i l( fluur}

to

put gas in

the

e. 1

niten

ius equolion dcscribin& the

e

ff'

eet of temperatJJJ\': on rote c o n s

~ n t

is

d. In an .1git

at<ld

vess .J.

ballJ<:S

ate us«

to

supprc

s.

Tho

r:uc o

jn

cn:aso o number o ba

c

h:

ria

under certAi

n c

Qnditio

ns

is

propo

t1 ionol

to



w w

w . e x a

m r a c e

. c o m

50

5 1.

52.

the num bcr ,,,.

ha

otena. tr the 11 1l111her

dClu

bl

es in 4 hows,

hnw much

iOCI> Il1<:

io1

number

of

b3Ctcria can

be

ex

pected 111\c

r

IJ

hours?

(5)

Metlumul os produ<etl

by

the re.1ctiou-of

CO woth

CO H

1

- Clf,Oli

Onh J j ,;, of carbon-

m o

d c - c

o \ l c n n g

1 \ll reactor co nven

ed

to nJcthao\ol The

methanol f o r m ~ d is ~ o n d o u s e d and

rccovcred complc1<'1) . Titc unrcnctcd CO

und

li: ure reuycled back to

fM

r

•'tlc

tllr.

The ILc<l will contnln ll1 and CO In Ute

mtih of I. l ur 32(l(J of md h11MI

pmduc<-d.

ua

lou

lnll.'

.

(5)

(II Ke molelhrol'fresh bed.

(ii) Kg

mulclhr

or

re

cycle

J l

ts.

Mol

wt u r C J -

~ O 32

Culculote lh•• surfltlle vo lume mean

diameter for l

it

o lb llowon g purt

ic

ulmo

ma te

ri

a

l.

Sh

ow

demiled

ca

lculaaions.

(5)

-j;,.,

.,

. ;C.

r.tns

of paniclei in cbc:.d.Dp.. 1DJ

, J

(;I

+ l$1

u

.

. -3S2 + 1?6 :n s

.:]

..

-h

-

-

15

-

, 1+

. .

15

Pa

n

-

;Q

m n

the hent lnm>ior llrcd for am

a n g e

to coo l nn organic liq

ui

d (tom

ltl5 ·c to 5tl C. 'l'be boo iquid will llow '

11

ru

k

of IH.IXIII K aod

will

he oonled

hy u

si

og ettcul;lling fo

ul

w• ter cQolnuung

>UDJ<' snlL (ho cuo lmg

WH

ICr wi ll

c ~ V O

&I

~ t l

C. [I is proposed 10

us

c one

sh

ell pass

nnd

h v ~ > lttbe pnss exchanger for tire obol'e

duiy

(5)

Couliug \\afc:r i n l ~ lt 111

f'<lnt

lun: -

25°C

llc

nt Cllpacitv lor water 4.2

KJ /Kg. C

l l c ~ t capaci

ty

lor lot liquid =

.2

.84

K.f/

K L

C

the temper:tllll'e u o r r ~ o l i o n li1r

I

he

d e ~ i g n will 11, >.5

53 .

3o

T

l 'he

l(:c<lmtneotdc-d

o•·

cm

ll heat

lrunsfer

coeOid

co

n

II

will 1)6

IiilO

Whn

1

C

Fo r " first t.lrd(·r rcao.'

llOn

laking Jllaoo in un

isothermal ·

Hatch

rcnctor_ so•. ol' liquod

e : ~ e t u u is couwrtod lo ~ r o d u c t 111 15

111i

nu ll.,.

Cnlculate ~ c c vd oclly

r<

luirf;<l

tu ae

ht

evc sume ~ ~ o n in u plug flow

roacmr and 111 a ba

ck:mi11

flow reactor

(5)

SI CnON·B

PlY

MAIUC.a QUI STIONS 14-73)

55.

56.

57

l'lnd < . . ~ e e n values nuJ e)eenvectors of

mn lrl'\

[ ~ ~ J

l l

t.: Or

<ll

aualnts

>f

a

tluc

ga5

os

co1

127"A>

1 7.1%

N

80.2%

Ikteru.ili1c ilic pc.

recnt

C X l l c s ~

Dlf

u;-k:d t

Ue cornbusuou. Tit' ultroJA<tt pt ._t l in

Oe

gns

is ooutn'bu t.:d

by rur onlv

l>tJn> CO

is mixed

wi th 1 ( ~ ) %

~ c e , ; s

air

nnd b

urn t..

Only

CJ% of CO

bu

ms.

The

1'1 3Ctauts l'C ut j

oo•c.

utlli Ue jllUdUC(S are

ut

.:31)(1°C. C ~ t l c u l u h : i t ~ auoo ullL nf h.::.l

:lddcd

) f

fll111111

'

cd

pet

Kg llm

le

ol'

co

r :<J

to the renetor

Data: Mean molal specific heats bctWOOil

5

°C and T"C

(gtVCll

be low) m

KJ/Kg. milk. "

K '

Cu• T= IOO"C T""JII0°C

(;0 2Y.22 30(11

Cf.l1 <377

0: 29, \4 311.99

N

1

29.

17

2VM

Stnud<od b

ent or

fo nnntion ttl 25"

<.:

in

IU/K( mole

IS

co -11052+

CO:

.j')35

1.J

Bltumuwus con

l

WiUl

u

cakln lic \'ttlue or

201)(1 1 KJ/Ke

ts-

used

for generating

stc:m1

in a boiler how ruuch coal has to

be

bnru l

i

ll

;enc:rak 1MW

of

ct l

c

f t l l?.tlic

oc

ncy ol'

b t L S l l • m is II.75 How rnuch rnr

is

nccclod

j

5()0/o)

t:XI:CSS

ni

IS lO

be: used.





w w

w . e x a

m r a c e

. c o m

67

68.

69

1 )

Cip.:.'tation with .2.5 times

the

mwlmwfl

solvent rate.

A coWJtercwnnl

pla,te

absorber is tQ be

installed fru scrubbi:n& ·of wt alr

mh.'tUre

ccntaini.ng.S

percent ammonia by vcil ume.

l

he scrubber JS fed with

water

containlng

Q.002

.

mole

Nli3 per ruole

of w·ater

. TI.te

scrubba1g water

IJows

ala

rate

of 1.0

fll"le

watet

per n 1 o l ~ ais:. It

is n e c e s ~ a r y to

absorb 85 percent of

the

ammonia• 'l"'lenl

i:o. llie

gas by operating d1e absorber at

2o•c.

K =O

SO

m<ll N/ 1

1

/ molair

m

o.l

NH

1

1mo/ H O

c, tculate lhe concentratiou of 1 in

Ut

e

,,)llgontg li

quid

and estimate 11llllber

of

sl,ages ·necessruy for this operntion

'

T'lie

mte

or

a homogeneOilil liqulJ jlhase

reaction

is

given as

- YA

=

KC A Thi$

re-action lakes

place with 50%

t X > n v e r ~ i o n

in

a back JUix reactor. What will be Ute

co1

1v

er.sion i f

his

re-a.ctoc iJ 1eplacoo

by

a

bigger one. which. •i t

bnle$

larger. ALL

o1l1er conditiomr remain unchangl'd,

.Liqui

d A

dccomj)Oi'esm.

a batch

reactOF

by

a s

eco

nd oroer kmetics.

If

50,o of A

is

C(lnverted: iJ

,

a

Jjve IJUllUte. w ~

how I i

r

would lake to

reach

conversion,

a l e ~ a t e l h ~ change in onttopy when one

grSJ11 of

ce

i i i

o•c

is converted

i11l

o stearrt

at

c Lutiilll1heal

o

ffU$ion

ofice = SO

callg

.

Latent

heat

of vaporization

= 5·

40

cal/g and mean

specific l

tea

t of wat('[

between o•c

and

too•c= l.

When

u

1 e r m o m e t • ~ at

3o

•c is

phwedina

1vater

bath

at 90•C dte ini1ial rate

of

rise

itt ltennruncteJ' tetnperatul:e is found to be

2"C/se<J. Wlm t is

tl1e

lime C\1f1Simlt of lhe

t : h . ~ r . t n o r t J <

assunlillg

it

is a fust order

dl;>vice

wi

th tmil

y

st-eady

sl;lt'e

guin /

W)W

will

thermometerreact a'fter ,,nemln.ute7

II.

first

or

der

S)' 'tem

wil

h

I J ] l l i ~ e r

1\mction

o.

=

Y(&yX(S)

=

1/(S+l) is b ~ d e d to

iU]lut X(t)

=

t Perive Ute

expressi011

for

change m

output Y(f) tlS a

±imc

tion of ime .

7L

71

,

7J.

1 nf 7

Wllllt

is

tho maximum

ajtd muwnurn

d i f f e r e n ~ »

between

mput

and output? t

what time does

Uus

dillerence occur'?

A

nm

p

rder

reaction A B

is

being

carried out in a ·stirred lank

re

• ctor. Tile

feed slream

containing

reacl,an

t

A at

ooncentra6on CAOis bcing

fed

nt

oo

nslanl

rate

F

1 to

Ole

reactor. The

vo

hune

and

tewpe.raturc of tl

te. reactor are constant

Drui ve a. tnmsft>J

' ftu

totiotl relafu1g

concentration ofA

in

lite product

stream to

c t m ~ l l l ~ t a t i o n Of A

in

01e fee<Lotreillll .

Ao Jll

itu

de

Julio corrusponding tcr

cr6s'sover lfet

tu

ency

of

I 0 radlsoo

foe u

1'rt1CeSS is fi' '

' J to be

Q,1

a, What s the ult±mate gahl?

b.

Wlli\1

lhe veriod

of

s ~ l a i n e d

oscillationo corresponding to ullimat·e

giDn1

c. If a PI'O JOrtiooal coiJu·oller Is to be

l i S e ~

what

is tJ,e value

o

fw

o

por

bo

nal

gain you. would : C C ~ J n n

The

l

l"

<lll&fer limction of a

1 1 r o ~ e s s

llll a$urillg

devi

'

ct>,

Cl)lib"OUm' 3Jid Cilllll'o l

valve, fl'spectively

iS

gi•'<'n by

K

G

y=

( , VG =J,G, =K A.= l

~

The rool lpcus

diagram

of

the

~ ; J ~ s l e m

is

givenin figure 2.

a. Identify l@ Uons

Qf

pl'm\$ A and

S.

b. At X. = 1, the rooll

of

the syoiem are

lo

cal\.'d

at point C.

IdentifY

1he location

ufpoiJLtC.

c. Determine lhe value

e>f

J :t

. --

-..

-

~ --.

..

• · =

.

-

,

Documents

GATE Chemical Engineering 1995