GATE Chemical Engineering 1999

8/20/2019 GATE Chemical Engineering 1999

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IGATE 1999

I

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It==:-

CHEMICAL ENGINEERING

: =::=====:=:J

SECTION A

75 Maltul)

ONE

MARKS QUESTIONS

1 -

35

)

For each

of

the followmg questions ( I

IO

35

),

fo

ur

altemati es -

A.

B, C and 0 arll pro1'ided.

U1dicate the correct answer by writing A, B. C or

0. ns npproprinte, \£D inst the corresponding

quest ion number in the

1n

the t S I H r book.

2 ,

3.

5

IMarks : I '

35

= 35)

The system

of

equations.

2x +

4

e

iO

Sx

+

10y= 25

n

bas

no

w

1iq

ue solullQn

b. has only one solution

c

has

only two

solution:;

d. has mtuute solultons

Four .fnir coins are tossed simu

lUlilcous

ly

The probabi li\)' ~ l a l nt least one head turns

up is

1L 1 )6

b, ISf[ i

c.

7

/fl

d. 1/R

a. ll

b

c. 2

d. 3

I

The hannonrcseries L ;;

r

n. com'erges

for

p> 1

b.

Ji

v,;rges

for

p

> I

c

co

m•erges fo r

r

< l

d. v e r g ~ s for p < I

1\ solution

of

spec.fic gmvlly

J.U

consrS1s

of 35% A

by 11e1ght an

d the

ceru

aioing B

1£

he speci [tc gmvt

t)

of A is U7, he

speci

fic

gr:wtly

ofB

i>

7

15

.

I l l,

3, 1,

25

b I 3

c. 1,35

d. I

.2

Pu

ru

A

in

gQS phase

~ u e r s

a reactor 5(\%

of L

ts

A

is

con•ened to B Uuougl1 the

tll{lction

~ 3

B.

Mole-

fracnon of A .iu

the e X

L

streaQl iS

(1, 1/2

b 1/3

C,

1/4

d. 1/5

Which uf the

fo lloWJII l is

true

for

Vtrinl

equation of sUI o

a.

Vinal cocff:ictems are wnve r

sal

COilS Ul nLS

b

Virial

coe l'fi

cient

B

represen

ts

t h r ~ e

bod)' onteroctions

c. V.r"11 coemcrents are funchons ol'

tempern

turc on

ly

d For some gases, Vi

rial

equations and

ideal gas ~ q u a t i are the s;une

A g:rs

mrx tu

re

of three

componen

S

br

o

u

gh

t

in

c.ontact

\ \ ~ l h

n

dispcrston

of

an

organic phase in

wa

ter. The degrees of

freedom or the

system

are

a.

1

b. 3

·

5

d, i

A pr.pe or I D

4

m is

bi

furcat

ed

mto Lwo

p

ipes of

LD . 2 m each. If the m·erage

velocity

of warer nowwg

th

rough he .main

prpe IS 5 m/s.

the

ave rage 1 elooi Ly

through

the birurcared prpes

1s

a 20

ts

b. I J m/s

c, 5 /2 m

/s

d 5 mls

In centnfugal pumps . cantallon occurs

1vben pressure of the impe

ll

er eye or vane

beco

mes

Jess

thnn

nrmospheric

pr

essure

b. more

tban

liq·urd \'apour pressure


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. c o m

Lt.

12.

13.

14 .

15.

16.

l7

c. Otan IJquld

vp

pour preeJii

cicnl

a. co ntinues IQ increnst:"

b. on iouef\ to decrease

c g


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5.

26.

An e n d o t h e r m i ~ second-order rea..:tion l>

l lllrled

out

ln

•n

adi:tbati

c

pl

ug

flo\\

rcttetor. The rule nl'btalgcnerallon

maxi

mum althc inlet o

flhc

c o r

b, m a . ~ u at thce;(fl oflhe

reactot

"·

mxximum at the

e n t e r

or

1

e r e a ~ t o r

IL c

of

where n

~ 0.

is i l c : f i n ~ : d rm ly or

th.:

,•place

parnmolcr. S

ct.

since

a. the funct ion is e.wont:ni.Jnl

b

he L ~ p l o c a - t r a n s f o r m

Integral af

~ n t

llliS

finjte vnJu.,: only

for

s a

.:.

ll1e

L n 1 l l a ~ e - t r a n s f 0 1 m Integral of

""p(nt)

hru

initial values onl) ou

d. lh.: ·fimllllon exp(•ll is

p i d l . l e - w l ~ e

continuous only for s a

A

sys

tem

ilh

doubt

.

pole

ot

lit'>

o

rigin

is anstablo

sin e

the conusponding tcnn iu

the lime

domain

n. lsa co

nst ant

b

.. grows- e ~ - , > o n e n t i : a U y with

time.

c. grows linonrly wiU1 time

tl.

aooay• lin.:nrly

will\ tlmd

27. A ~ i n u s o i d a variation in d1 :

inlnJt

P""•irrg

through • linear firsl-order system

a. b


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questiont 53 to 55

two itclll i ar

e indic

oled

in the

lcl\-1\and

column

lind oil;

items in

h

e righHmnd

col umn

. Each

item

in the

icl

l-htm

cl c41umn

It

closely ossoeiatod

\Vith o

ne of the· items in

the

ri

g

hr-hnnd I.'Oh

nnn. F'or e

nch. < t u e < ~ L i o n

write

the

nppmpriBte mnlch in t)l

e cQ

oTe.s-p.w

r ~ p C L 1

i v c : ~

Ute p a r t ~ pressor" of bl,

(p -

-

Pv"') 11]1

d. l J I

bois are

OS

peo

stand:trd o l ~ t . i o n

a, Dp-p)llr

I '

b ( l) c

P

p)filr

18

Jl

·

D

P-

p) J

18 , ,

d. [ f/

Jl ~ h

fL

2. \Vater

is

Oowing

: l l

l

m

tJ

trougll a

(cJf 10 em J.D.)

"itl\

o right angle bend.

The

l'

o

l'l

c in

e w t o n ~

e:


5/8

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. c o m

2nf). IJ -

r ,-r, )

•L 2irk

T

To

• 1 - ]

Jr,+r,)/2

44

. For

a

coumer-cm-r.:nt ltJ:OL cKalt:tngcr

wiU1

T'to 80

C. T

•, =

60

C, =50

C,

and T

1

,

=

)0

r .

and

Inc

tempermure

ditlero1ee

betweeu

Ule

IWO >lt'tmms being u.e S3111C

0 1 ' ) ' 1 \ ' b ~ r c •long z, the direction of flo"

cof

the

hC t

lluid, the temperature prolile

1 \ o u l d satisl)

J T " 'l

II . l I

enzene

und

wlucnu aJ' 3 and alluu;phcre;

rc:spdlli ts

~ r "

in olquilibtium, the vfipout t l h ~ e mo le

lhlction of bcn7.ne ;,

"' o

-18.

-19.

50

.

S

.

b. 0,6

e. o.s

d,

0,2

sura

For the liquid pbll IU t t : r o o ( t f i r r e v ~ i b l t

l'll>cllon A > B, tho.corove,..ioo of A in •

C'STR lilund

111 be

11.3

Ill "

"I'"""

1 iO¢

this

mtitl il' trnn5itllln·siatc Ulou

o

y

Ulled

with

1 1 1 1 snme

VA

lue of EIR l

a Lli

b. 2

\:

2.24

d. u

A

C V 1 J 1 8 l J e followinll

lTan5fer filnctlons .


6/8

w w

w . e x a

m r a c e

. c o m

cxp(-20.r)

d.

•'.,-2, - 1

53 Euch item gJven in the lefl-hlllld rolumn s

close ly ajsi>Cifilt:li \ 1ith

a

specific

h n r n c t < ~ i listotl in the r i J ~ h l · h u n d

l u m n

t.

lat

ch

< .'lch

of'lhe i t e m

1 1 ~ L h th

e

UIJrfC$ ponding h a r J t l c r i

l c .

(\\'rile

hoth aJts\\c:rs

in 13nx Nn .53)

A. 'l'rlnl>'J)IIrl:ni

of thd

items listed

tn

tltc right-hand column

Match

e.1ch

me

th

od

witl1

the

corresponding item

.

lWrite both s w e ~ ul H o No. 54 1

A, Discounted ca•h

l

ow

B. D ~ l l n balance

I. Depred ation

2. Jluyout

po

riod

3. l'rolit.1bitit

y

annlysis

-t

v l l i ~

\lo luc

.5 . Annuilv

(i

.

WClr-king

r l l . a l

55 l'vlntch each rol)•mer mentioned in the left

hand

1 u r n 1 1

wi01

Ute corrc:spouding

cbc"llllenl nature listtd ln the r i f l l ~ h r u u

colu

mn.

(Write both

n s w ~

in Box

Ko

.

jS)

A.

Pcrs,>

:><

B. Rnyon

I.

Po

l

A O ~ c h a r t d e

L

P•l

lyamtdc

:;.

P· hy ltupezold•l

'Ulc

,

Usc

J

tap

•ize

of

0.2.

O

hlll

iJ1

li

te

error b

{>

nnds for this

so lution.

( '

ampule th

e

ahsohth>

error

of

the nnm

eric.1l

so

lut

ion

hy

ev

olualing the

in

tegral analyll.u>ll) .

tA ·

Solve tb; 6XJ• 6x by the

fo

llowing

met

b

10

to

. The c ~ > n v e r : s i o u Qf ~ t h ~ oo •

single pa s through the rc•.ctor is 25 1., l11c

unrcactcd ethanol is completel) separated

fi'om the TCI\Ci

ion

pro

du

cts

and

rooycl

ed

.

\Vital

i• U1e ta

litl

of rccy,lc stream Ill the

fresh 1

.-e

d m u \Vhnt

i•

the

ca

mp

os ititm of the QU[Iel >1re:tm. lh>m th


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61

For

Ute

binary ~ y s t e m me thanol (I ) and

J)cu:tcnc

(2). the fC< OlllffiOOdcJ

VaiUilS ol

the Wi

l

90n

pu

.mwe lers ul 68

C

ur"

A

1

: =

0.L .5 1 rmd A ~ t - 0 3456 . The vupour

press"'" ofpur" spedos ut68 Cure Pt -

68.

75

kl'a und P:i"' ~ 11.5.89 kPil ShQ\1

tho given s : y ~ 1 c

cHill

lorm ,UJ

ll't< otrupe a168 C. ~ u m thuJ Ute VIIJli>Ur

ll.::ltavcs liko au itle:Jl ,U.S..

62.

FI0\1 I'Ule

or

I I ' U l ~ r

llowin l l u t > l l ~ h

a

f'lJl

is being

UIC'.JS

UI\:d by usina an uriticu

rue r•r sl•mu in the Gollowllig figur•

a What ts l bc e c d o n ol' lluw

rn

tho

pi l"''t

b. Dcm e an expression tbr vcloolh'

thruugh tho c•ritic u d y · s t a t ~

toUJ

>Crulure

prolilo

nut beat

tmusfcr mte

for u hollow spbencul contnhter.

·

n _ i w t ~ t

SU$[Oce

(nt r = r,} is maintained ut T T,.

and the ou ter Sllrlllce (at r - r,,) is

muiutained ut T -

(,(,

150 kg of wolc

r

is lo

be

heated in

n slcom·

J 3 C I . e t ~ d

v-ossel (r('lm 2.5 C IC> 80 C. St.:auo

ts

ooutlcJU;ing ut 110 C.

and

the hea l

transfer urea ts 0.15

nl

l l o ~

h 11l

trnusfer

coetlicio>nls lbr ~ u d e u s a t i o u

{•f

steam and

heating

of

wmer bv couvecuon arc I00(1

.

- ,

Wim· C sud 500 W nt· C ~ s p e c w e l v

appropn:nc uusteadv balun

t

CQm[lO$i

lion

nnd

the exit composition.

68

. D ~ t c r m l a t i l l n of c flicicnc, is omucnl in

plolo column design. llta -gns nod

liqlllcl

rn tcs arc

0 I

and

1

1.25

kmol s

r l l s p : : ~ i v e l y

The tntcrtiwinl nnw for miL« tro

n

s tcr is 35

·· l t '

l-

nr

ltlluJ· on Ihe

p utc. Tuc

re

st

doncc

tnl1u of both the liquid and gas in the

fm th

1.onc

is

3scoonds,

The

liquid phose

and gn.•

f'h:JS(l m a s

transfer ~ u ¢ t l i c i ~ n t s are I <

10-

2

m und

2 '

-l (r m " " ~ P " c l i v e l y

Culculuw

u, Uquid phMe

l l U n s f ~ r

u

nitS

b. ]tiS

phuse

lnUlsf n unit>


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Documents

GATE Chemical Engineering 1999