gate chemical engineering 1992

6
8/20/2019 GATE Chemical Engineering 1992 http://slidepdf.com/reader/full/gate-chemical-engineering-1992 1/6    w    w    w  .   e    x   a   m   r   a   c   e  .   c   o   m I GATE 1 992 I U( ( I CHEMICAL ENGINEERING SECTION A SO Marks Fill i n the.blnaks . a. ' 'he steps 1 1oiled in the manufa cture of pbeno l b y chlorobenzene caustic JlT< )CC~~ are ch lorinat io n or b o n 7.Cile. and T :::- e _ p _ o _ cess -:- s - c ompe -. i "' i "' . e " -: 1 - en .  -, l- o - · cost cltl o Me Is avrulab le, T1u s means hal th e proces s mu s t be cou pl ed l o a ~ - _ _ _ - - ant b . For manufacture of slyre n e th e maJOr rs11 ms t cnals are and ; One rmporta nt co po l y me r of styrene IS Which IS 1 ddy us<.\d in the man u facture or nut )mobile tyres e Sel ect the appropriate name from the rigbl hi111d co lunm . against the processes memiorted : (1 ) H, from li ght r o l e u m stock ( II ) Hrgh oetanegnsoli ne from n nptha (lU ) G a s o h n ~ frtlrn g11s oil (TV) P etrol eum Cl)ke fro m res o due (A ) Pyr'Ol ysis ( l:l) Catnlytic ctackin g (C) Platfonning. (0) Steam r cfonnin.g of napiba d. n electrostatic prec1prtator ts normally used lor separating particl es from gases \\hoo (A ) PartlCie s1ze IS g reater th an L mm \B) Particle SIZC IS less UUIO I micron 0 Gases contain g c<m cenlmtl on of carbon monoxide ( D) Gases con taon erv hrgh c oncentration of so lids , • Fill in the blunks :1. It i s desired 1 0 rn n ke I (lO kg or u solutio n containing  salt b )' mixing solution A c o n ~ a i n i n g 25 % s alt and soluti~;> B cool llni'ng 50 ° % sal t. The mas s In Lg of solution A rcquored IS b , 1.2 g 1\toms of carbon and 1 , 5 g m oles or g e n are reac ted t o gi l'e I g mole or carb on dioxide. The limitin& reactant is . The pe r 3 . cen t excess reactant supplied is c. A gaseo u s reac t ion A t 28 +C t akes. pl a ce isothennnll) i n a con s t ant pressure rea ctor , S t arling With u gaseous m i ~ t u r e containing S<l A (res1 o n ens) , the 111ll0 of fi nal t o 1tt ia l volume is round t o he 1 , 6 Th e pcrcen t agecorwersoon of A is (A) .30 (B) 50 (( ) (i\) ( D) 74 d. A multipl e effect <.waporator bas a capacn y to process 400tl k g of solrd caustic soda per day " he n i t i s Ir on ltl '}o t Q 2.5  sol o d s . The w ater el'npora ted i n l.g per day is \A) 600 (B) 24.000 \C ) 60, tl0() (D) 48 .Wil Ch oose the correct alt ern ate il . The ml l:hanicnl energy equ aOun ( (  -  ) ( ' '' + p ) tlrl , ,, , f.i • ::o - +w - - . - 2 ; 2 m lm h ns peen o bta ined under 1 v hich of t M fo llo11ing assur'nptions (A) the llaw is s tead) (B) the ll ow r s incomp ressoble (C} no viscous work i s be in g done (D) (Joints and I are on the same str eamline. b _ A sp he ri cal partide 1S fiillu~g slowl) · Ul a visco u s li qwd s uch R ev n olds nwnber I s ess than 1. Wh1ch s1aiemenr is correc1 for this SJhlahon (A) Inertial and drag ro r ces are 1mponant ( B) Dr ag , \rll~ nal Md b u o y a o ~ y forces are important (C) D rng fore<~ and gra1 ltat1onal fo r res ana i mporlant ( D) one o f ibe abore c . As th e veloc1l\ V nnd Utus the R e)'l10 ids nu m b ~ of u Oow past o sphere incre ases from ver y l o11 'ruues. th e dras, force for R e << I (A) inc reases li nenrl) iib \1

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Page 1: GATE Chemical Engineering 1992

8/20/2019 GATE Chemical Engineering 1992

http://slidepdf.com/reader/full/gate-chemical-engineering-1992 1/6

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IGATE   1992

I U( (I

CHEMICAL

ENGINEERING

SECTION A

SOMarks

Fill in

the.blnaks .

a.

' 'he steps 1 1oiled

in the

manufac

ture

of

pbeno

l by chlorobenzene caustic

J l T < ) C C ~ ~

are

ch

lo

rinat

ion or bon

7.Cile.

and

T

:::-

e_ p_o_cess-:-s- compe-.i"'

i

"'.e "-:1-en. 

-,l-o-

 

·

cost

cltloMe Is avrulab

l

e, T1u

s

means

hal the

proces

s must be

cou

pled lo a

~ - _ _ _ - -

a n t

b. For manufacture of slyrene the maJOr

rs11

ms tcnals

are and

;

One

rmportant

co

po

ly

me

r

of

styrene IS Which IS

1

dd

y

us<.\d

in

the

man ufacture or

nut )mobile tyres

e Select the

appropriate name

from the

rigbl

h

i111d co

l

unm

.

against the

processes

memiorted

:

(1) H,

from

light r o l e u m stock

( II ) Hrgh oetanegnsoline

from

nnptha

(lU ) G a s o h n ~ frtlrn g11s oil

(TV) Petroleum

Cl)ke

fro m res

odue

(A)

Pyr'Ol

ysis

( l:l)

Ca

tnl

ytic

ctacking

(C)

Platfonning.

(0)

Steam rcfonnin.g of

napiba

d. n

electrostatic

prec1prtator

ts

normally used lor separating

particl

es

from gases \\hoo

(A

) PartlCie s1ze IS greater

th

an Lmm

\B) Particle

SIZC IS

less

UUIO

I

micron

0 Gases contain g c<

m

cenlmt

l

on

ofcarbon monoxide

(D) Gases con

taon

erv hrgh

concentration

of

so

lid

s, •

Fill

in the blunks

:1.

It is

desired

10 rnnke I

(lO

kg

or

u

solution containing

 

salt

b)' mixing

solution

A c o n ~ a i n i n g 25% salt and

s o l u t i ~ ; > B cool llni'ng 50°

%

sal

t.

The

mas

s

In Lg of

solution A

rcquored IS

b, 1.2 g

1\

toms of carbon and 1,5 g

moles

or g e n

are

reacted

to

gil'e I g mole

or carbon dioxide. The limitin&

reactant

is

. The per

3.

cent excess reactant supplied is

c. A gaseous

reac

tion A

t

28

+

C takes.

pl

a

ce

isothennnll) in a constant

pressure rea

ctor,

Starling

With

u

gaseous m i ~ t u r e containing S<l •A

(res1 onens),

the

111ll0 of

fi

nal

to

1tt

ial

volume

is

round to he 1,6 The

pcrcen tagecorwersoon ofA is

(A) .30

(B) 50

(( )

(i\)

(D) 74

d. A

multiple effect <.waporator

bas a

capacny to

proce

ss 400tl kg of solrd

caustic

soda

per

day

"

he

n

it is

Iron

ltl

'}o

tQ

2.5 

so

lods.

The water

el'nporated

in l.g per day

is

\A) 600

(B) 24.000

\C )

60

,tl0()

(D)

48

.Wil

Ch

oose the correct alternate •

il

.

Theml l:hanicnl energy equaOun

(

( -   ) (''' +p) tlrl ,, ,,

f.i

• 

::o

- +w - - . -

2 ; 2

P  

m lm

h

ns peen

obtai

ned

under 1vhich

of

tM

fo ll

o

11in

g assu

r'np

tions

(A)

the

llaw

is stead)

(B) the llow

rs

incomp ressoble

(C}

no viscous work is being done

(D)

(Joints and I are on

the

same

streamline.

b_ A

sphe

rical partide 1S f i i l l u ~ g slowl)·

Ul

a

visco

us

li

q

wd such

R

ev

no

ld

s

nwnber

Is es

s

than 1. Wh1ch s1aiemenr

is corre

c1

for this SJhlahon

(A) Inertial and

drag ro

rces are

1mponant

(B) Dr

ag

,

\ r l l ~

n a l

Md b u o y a o ~ y

forces

are important

(C)

Drng

f o r e < ~

and gra1 ltat1o

nal

fo

rres

ana i

mporlan

t

(

D) one

of

ibe

abore

c. As th

e veloc1l\

V nnd Utus th

e

Re)'l10i

ds

n u

m b

~ of

u

Oow past

o

sphere increases from ve

ry l

o11

'ruues.

the dras,

force

for Re << I

(A) i

nc

reases linenrl) iib \1

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ffi}

d ~ c s l f n e • r l v with V

(

Cl

decre;,se. as v > ·

CD)

none ofUtooc.

tl.

Titc W"bcr numlx"

CAn

be usell I 

<l111imate

(.\) mliQ o f i n c : r t i ~ ~ n i l surfac<>tensinn

forces

(B) rntio

of

n<:rlin and . : c > o n p ~ ~ · i l i t y

forces

(('I rAtio uf' mortial

and

ccnltifugal

b i t e ~

(C") t:ttin 1•f .. and \'iurfacc

ten$

on fnn..'ef;

.

C

htJQsc tile

correct J Item ate ;

n. A partl< lo A

of tl

inmoter

10

micro&.

setllos 111 an oil l l f spedlic grnvity 0. 1

nnd

\iscoshy

10

poise under

Stokes

Law. A pat tide B will• diameter 20

truc.rom •o

ttling

in

the

• m

oil will

v

e settling

Yelocity

tA)

s;une n•

thatofA

(B) o o ~ o u d J •

as

that orA

(C ) twic<: •• th.1i of, \

(0)

four-times

o.• tltai of;\,

b.

\Vrile o • ~ ~ J'or

:

lA) Bnud's lllw ofsi:a: t·oductiou

1B)

Fi

ltration

under

constant pressure

c. M•tclt the following :

II) C

ut

diameter

(ll)

Spccl io : a l < e r.:;s-ist:mee

(ill) Sfzc Reduction l ~ t i o

(1 \

  )

Angh:

offn

temni

Friction

(A) Filtrnti<m

(131 Cy

clone separllli O•

(C\

Stomgc

ofgoli

ds

(IJ)

d

<  During \ \ : l . ~ h i n g

11f i l t « ~ ~

the end uf

~ n - l >

p o : . < ~ = nltroiiiJU

,

the

rot.c

of

wn•h in

g t <

ltta

ls

lhc

(

I \

)

rltte

offi

llr.Hi

<m t i m ~

zem

(Bl

rate q llllr•t

ion at the end c)r

Liltrllllon

lt l tote

of

fiHrotion

whc:n

ha lf t h ~

l i l t r n t ~

h ~ s

be."'

~ t . i n c : d

rule of Glttali<m at the end

of

Liltrntion. but

d<Jc""""""

1vitl• time

s

ub

se<(lltntJy,

Choose tlte correct l t e r n a l I

a. In • heal

cxch3n

gcrWill

>

•L:3m out>lde

the

tub

es. •

Liquid gel•

bcnluct to c

w

hen

ill now

Yelocity

111 the

tub

..

IS

2

mls. ·tftlJe.

now

velocity is •educed to I

s

otl1cr tJ1ings

remaiuiH , t u

 

same.

7.

J Ut i)

tltc

lemperoture of the exit

liquid

will

bl>

(A)

l<:s•

thon 45°(

(B) c ~ u o l l o •WC

(C"l

greater rh•n 4S•C

{0)

l 1 1 i t i ~ l l y

dctrl: k'C$ and rtmain•

conswut ll•cJttJ/lc,r.

b. Indirect 1 >:11ltnc1 hcot excltongc't" 01-c

preferrtd over d i ~ l h

eal

e.>«:.ftan

gers

bCC.1USC

(I\ ) heat

t m n ~ f c r

c < > e f l j c i c n t ~

are

high

(B) t l ~ e r c

i•

no risk

()f

cm

ttnm in•liQn

{(') then:

i• n11

mist

l'

nrm ntil)n

(lJ) of

"'JUipment

i; lowc:r

<:. To

JniliAtco boiling

of

n liquid. I l l ~

tcmpornl\111

of

tho heoled surface. if

smooth will be

(higher/lqwer) lhan for • commercial

or

a roughened s ucfaco.

d. 'l'he

ndvanl.lRe

of

backwMd-foed

multiple-etl'ecl e v a p o r o r s oYer

forwnt'd·

foed unit; ls

tbnl

(A) heal scnsltiyc matcrinls can bc

h•ndled

IBJ there

is no additional cost

of

P"'"l''"

C

mo•t n l r a t l

ic

1

uor

is nl

bighestlemperattlro

(D) equnJ be.'lt trnnsf.:r oo<:fficients

~ x l s iu ••nrious effects.

Fill rn he

blanks :

a,

In

•t

ryi

ng

·a

con

hli

nin.g

moi•ture

uoov<

th

e eriti i ul mol,w.rc

cOnte

nt, the

number

of Jee.rec:s C)f

f,-.,edom

IJ

b. In the 1\  

n b e . -

l'hlclc tliagram fvr

blnacy

dis tillation.

\'t:l1lcal feed

line

n : p r c t . c r t t ~ teed

und

huri2onlnl feed

l i n ~ ttprel ellb

teed.

c. number in

mass transfer

eom:spon L• to

Nt1 15elt number

iu b o ~ l

lt311

sfer and numllCr I()

l'randt

hlltm

b<:r

.

d. Ill sma ll cb lumn.1- local elfodtncy i•

Murphree e f l i c i ~

tn

'"o-rg_e_ <X l-;1-umns lcoe•l

elfioieJ><Y

is

1\ lurplu·ee efficiency,

Cbo-o-

$o

...,.

h

_e_cor:rccl :.ltcrnnl• •

a. Write "''P"'•••ons.for

(A) Van ·, Hon· oquahon

(.B) Vander Waals 'ruat

iou orS tole

b.

Durmg Joulo-Tiwm e:xpon3io11

of

~ ~ ( $ .

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9

~ Entlllll

py

remains consiBnt

()3) Llnll'OP¥ r ~ ' l l t a i n s COJI itar

tl

(c;) Temperature Temalns c'Qn$tant

(D)

None

of the above

c. Tba necessllty and sufhcient c<lttditiott

for

equ.ilibrill111

between two plll1Ses is

(A.)

concentrdtion Qf each contponenl

should be same in tlte two

phases

(ll)

t h ~ lt'tllperature of <>ach phase

~ h < • l t bes•me

C)

the 11re ;Wre

should be

S<une in

1he

two phases

(D) tlte clumlical potentialofeaclt

C i m l p \ V J e n

s'l\o

u)d

be

S<mll in

Llte

tlyo phases

d. For a single. component,

two

-phase

m x l ~

l}w nunlbat <lf itlih:penJent

v a r i H b l ~ prop

  rti s ate

{.b,.) two

(B)

p i t ~

(C) ?.ero

(D)

three

Choose Ue c'Qrrectalll"l1lule :

a.

'Ti

te conversion

of

n .

reaf.)tlln

t;,

undergoing a JID.-1-order

-reaction,

at a

lima equal to

rl

we-

DJUCS me

.half life

ofUte reudioJil

is

(A) 0,875

(B) 0.5

(C) 0.425

D)

not

possibl<> lo c'ilctll.at.e hooanse of

m ~ u f f i c i e n t

data

U  The llluts af frequency fuctoc in

A

c:heniLJSequati<111

{A)

are

l'he

sru.ne

·as th(ll;e

e>f.tlte

rare·

conslrutt

(B) depend

em

the·order ffbe l'l'Sction

((.) depenft <trl

tempe.r'J.lllre

, rm•ssure

etc of he reaction

~ arc

eyo

lcs

per

unit rune.

l .

Fill

ill

th

e

blanks

:

l ramition state '

theo

zy

npproaclm

O t ~

problem

of

calculating reaction rates

by

concentrating on,tlte ldeaof.

d. rill1ll he

blank

s:

h1 a ru'St-Qmer reactio,.,

~ P r o o u c t s

the reaction

bECOmes

s l o w ~ r >1s

it

l)r<t<:ee

ds,

because

Ute

concentration of

A artd tl

t

tn l

tle is

Choose th<>right answer;

a

Vllten a bare titcnnocouple

is

cowered

by

a protective sh

< atiL

t11e- response

bec<>me:.;

3 ei' 6

(Aj Fn

st;er

ruid

osci.ll MOJY

(B) Fmllerand

no

.n-QScillitlory

(C) Slower and

osd

lhllory

(p) Slowennd non-oscillatory,

b. ReiU:rllllgc

i.t

tto an ¢qllivalant llllity

fet dtiadt

di

o m :

c. An integrating

p r o t < e s ~

[lfl',sj -ill

conlroU"'i

by

a llr<lflor\ional .:inttroller

[K ;} The

m e n s ~

instrument and

th

o.

futal control olentent

resp<md

it

\stanmtteo\lllly

_ Firld li\e o

ffset

to

llowing a

unit

sler)ohange in load,

d. Slate. whether tlte fol.l

owi

ng

systems

IJJ'e

stable orunsmlile :

(i)

t

G{im) =-110" when IGCiMI= I

(i0

1

G()<O)= -180° wben IG

(io:>)I=0.588

,

10. (]ive HteMSwers ofihe.followi.ng •

a.

l a d i ~ t o tlte lll OSt apprQPriste material

for tlte hanJling of (he c l t e m i ~ a l ~ as

given below ·

c m i c a l ~

( )

'

Dilute Sulplmric

(ll)

Cvrlce

ntrated Flydroch

loricAdd

(Ill) Wetchlonne

(f\ ) C

om::entrated

Caustic

Soda

Mattlri.'ils

(A) K ~

b a t e

Ol) Nkkel

(C)

Lead

(D) Titaniwn

'b. FO : pi]>" lines ihmdling

fluid under

presstlle,

t:irctUnfere

ntial s t i f f e r u n ~

ring> are used for witltstandi.ng higher

intel1bl1Jl re< J<

IU'e,

{l'nte

or

Fills

e).

c. In 1he. layout plan; lor, a vacuum

dlstilla

bQlL

111UI:, operating at @

.tum

Ilg,

suppott< d

by

a blilt>metrie

N ttdenser, f ~ e \IJ)iJTCipriul.e

vJuc

e for

the location

of

VllCUUlll

drum

pr

coUecliiJg tlte cHsM1<Jtewl11 be

(A) atgrnund Jevel

(

B) 2111

111><1\\t> gt'Oun'll

(C) 5 m

abQve

ground

(D) I0 m above gml'md.

d. M a t ~ l t Ute.

following

:

(I) C a p i t a l i z ~

cc'st

(ll) \Jnnmortized vulua

(nl) Payout

pmod

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  l

V) Coet index

(A) Comparing alternative1nvesln

wnl

u it. es

(

B)

Uprt1tmg CtlSI

dnln of eq

1UJlll1enl

(C)

Profttabilily

ev-aluation

(b) CQsl ncootmbitg

(F  Rep)acemenL d " " l . ~ i o u

(F} Wo rking capital

SECTION

1 2 0 ~ )

I

I. 'J1u• 

ooncentration of

SO, in the lltUHillle <

from a 'boiler tV'SS fowd to be 0.2 kg ';;\ at

N.T.P. Detern;i.Jle the concert1J)IJ:i:On.ofSO:.

in paris per millicm by

l n n t ~ ,

at P.

Ass •Jme t h ~ t the

gil.•es

are perfe<;t .

12. .Answer Uie fllllowing

} T h S 1 1 o r c ~

:

a.

The Qn

alysill Cf

l i t ~ J .aS entering- the

sec'Onda

f)' C1Jnver1< r

in

9

CQfllact

snlphur.ic ncirl pl811t .is 4% S02. J3

< ) . ~ , 1:'3% · , (l•olum e %). In t

he

<:Onve t1er s o is ,ucidised to so,. 'l'lie

gases l

eavmg

he converter

contaln

0,

45

% SOa

on au t

free basis

{volume ).

Calcnlate

1he percent

w nversion

<:>fS0

1

b. D.ry

methane

is bii.Oled with.

dry air.

Both are

at 2s

•c initially.

'rhe

llame

tempe.ranue

1s

1300 C,

1(

complete

combustion. Is assumed how Jnuch

axcess air is

being

used

? 'lite

reaction

C t L Z O 4 H O

Standard heat of

~ c t i 0 1 1 "' -8.028 ~

I0

5

J/g

mole of

OH. :reacted. Mean

molal specific heats

of

gases

betWeen

25

°C and

1300•c &' '

.

in

J/

(g

. mole)

( K) :

CO

a -

51.88

I·h0 - 40.45

~

3 4 . Q l

N

2=

J2.2 1

13. Aru;.wer th<t followiltg :

tt.

Wallrr

Is

forced

h;

to 1he

device

showrt

m g l t r e b e l o W ~ t

h e r o

e . , f

Iof6

0.15 lT

' tsec ihrouglt

pipe

A,

wJtile

oil

of

specific gravity ).8

for,-e

d

in i l l th

e

rate

ofO.OS

m

1

/sec through

lripe

B.

If

~ h e liqnid• .are ITIC<lmp rem'ble and

lom1 a IJ.omogeneous mixmre of oil

gl<bules in ·wale,,

wh>.tl

i ;· llie liVernge

v ~ o q and densi ty of [he m.biture

leaving throll l

pip

C

havmg

a

di;uneter

of

" 7 /

22

J11

For Oow over a llal

plttle

where'JJ, a

laminar bP lJld.'JJY

la

yer 1• present for

th,. ~ • e nh :tero presS1.1fl>gradien1; the

fllli"Jbotic

llfOfile l

br

\teloci ty U ,. given

by

u = y   y for y s 8

u=Vu f o ~ ;y

1

0

r ind a; ar

td

,

.,

.

--

L

~

. .. _ ...

; ~ s . .-:.. ..

]<  i\llliWSr lttefoll<>

"

in£:

a. Prutit:lcs o.f sve1'age .feed size

~

4

10

m are

crushed to an average

prnilu{'t sizt- of) •< J0'"' 1T1 nl t

he

ml

,e

of

l5 t.ons per hoOT. AI Ih

ilt

rnl.e the

crusher consun1es 32 kW ofpower of

w.

hic;h

7

kW m

fllil

'

lired

for

11111ning

tl

te mill

empty. what

wollld

be

01e

power &

wn;mmption

i

40

tolL ' _per

hllut of

this.

product s

.

further oru£ltcd

to

I ' 10_.

ru s i z ~

.iu l h ~

Slll

ne mill1

Assrune llllll Rittinaer·s law is

applicab le. -

b. A tillerl)ress

oo

n

lai.ns- 2()

frames, each

of 0.6

m.

by 0.6

m

f11Slde duneJtSion

'111- .6'llll.1es ate 1'>.02.5 m luck. 'rltu

press

l• equiwed wiLI1

l

il ld ~ u l t o n

plates for wliSh.ing. The l u w e

of

wrt

$h water

nsecl

is

l

0%

of

lhe filtrate

per cycle, The

time required

fur

filterin

g,

nt

,'On.stlmt.

pressrn:e

, is

2

h

OUJJi oy wJiich

time he IDUtle.< ·are

fuU , Washing

.s

done ·at

dte

same

p r i o i ~ I U ' e as filtering and ti

le

viso;osity

of wash water .is nearly

( : \ 1 ~

same as

tru t

of

he Jj.Jbute. Wltat l.s the time for

washing? Thc:re

is

0.05 m 

of

cake per m

3

of illlrate, Neglect the

rc.-is

lmt

ce

of

he 1iltermedium .

15. A u . ~ \ v e r tlte following questions .

Page 5: GATE Chemical Engineering 1992

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   w   w

   w .  e   x  a

  m  r  a  c  e

 .  c  o  m

ot. Comider

~ infinite

pmll

el ¢ 1 1 .

Plat

e I is m:n

nL

1.ned • I 1227"C

and

pl

ate 3 il mtu

nta

i

ned ot

Euti.8ivilics ure

equ• l

to

thM <l"

a hla ck

hlldy. PIole 2

pl•c

ed

betwe

en plnr

e,

I

:mel

3; :md receive,; t"' he

nt

li'

CJ

m

~ t c r u   C O i l Wllttl is Ute

ltmtpCI'

aiU

rc

of p into 2 'I

ll A nicke l steel rod S m OJ) ongjnnlly

al n b:mJlomiru

n;

31)0"(' i>

imoocr.<c

d

iu • li4uid

ol

H c

ror

wlticb

lh

<> L'O

liVt

div

c heat transf

er

coall

ici;;nt

is

1

0\J \\11m

2

K. Del

e111tin«

Ute ti

m

c-l'e(IUir

ed for Ihe

ro

d

to t

each 3 -

m p o u t u r of

150"C. (Hint: C•ku lote

the Bioi number

nnd nu

ke tho

necessa

ry assumpt

io

n).

P l < : $ ofnid,"el steel

K SOW/ru. K :

t>-

81100

kglm

1

:

I p= 0.5 J/k

g.

K.

1

6.

Answer the

ro

llo

win

g questjons :

<L Equilibr

ium

re.ll

liCJI\

$hir f

()t'

Lbe ~ t o m

lt

"J)t.on

e-oil· •ir

iS

givcu

by Y

: 2.'(

(Y

and

X nre

kg

-hepume kg .

nir a n ~ kg

hep

tan eik&"Qil re•pectivcly).

f'HI

n t . o i n i

0.005

p b n ~ · u

being U led as

ll> r re

ducing tht:

hep Ani

co

ntent

or

from

\

,10

to

()

.

021.:g-heplnnclkg

-sir

in • co olt

lnuo

\1$

co

unter-current k l l d hed

~ l . l l

W h

col

umn

n:q

uired to trc

ot

1

400

kW(hr) (m

1

tol' "'"PLYluwer cr

oss

i t l l i of

pure ni

r «m

lili

ning iO<:(>tn.nc

if Uo

c

tl"c

ull

"" nln

 l•

transll:r

cnefficienl is

~ 2 0

kgl(

hr

) lm'

1

)

p<:r

unit

~ 1 1 1 t : n t

of Y

'r

hc: oil ra

a.:

C J T I < l l l

l•

31

00 \4 i(

br){m

1

) .

Solve

n

h. 'l'he fo

ll

o

win

g iltformnt

io

n l• av:ulublo

lrum Ut

e

reco rd, of a binlll')

Jraclioua tiug <:O lumo :

Fwd 180 kg-molell tt and

6 0 ~ •

ya

po

ro

se

d;

Dlsti iJ,,te = 100 kg

-m

ole br wl Ut 0.9 C

mole froctioo of tho moro • l i l

compone

  t

Reboiler st...,m demand = 420 kgtlu-;

U.tent b

«o

t of

column

liqu

id = 3 10'

Jig

nlOi

c

lloHI

U.lent

or ,

teauo u•o< in

ro

huili:r -

22( 0 J/j .

(

nlcuiUie

(I) IJ)e Qpot

at

in£, ~ r.uin

:t

nd

, ur l

{i i th

e compos

iti

on of-v

a

por r i n ~ thai

pla1e

fro

m 11hich liqu

id W   6 W

cOr\tuin$ 0.7 mnlo

l'ra

otiun Qf the mb

l'

o

' ul•lile t t t p

c. l m

(),S m Chi

ck

CQnl

:tini

ng

SOt) ol'dry o c k m·

1

of original Wt.

~ l O t

ii

to

be dried al CQnownt dtying

w nditiOnM Th<' initiJ>l drying mte is

kgl(

hr

) (m

1

) at dtc initio

m

t u r e

<l 3

3°0. Th

e lin"Id

l)

'ilig

rotc

ill

I kgl(ltr) m JJl 6 ~ ~ final mvislw e

contanL The

CjUilibrium moisture

co

ntent

s neg l

igible.

If drying is fr

om

two htr

ge s

url'a

= iltld i f cb

e

dry

in,g

in t h ~ filling rntc p<riud

t.

prnportionnl to the lh:c moi sture

e n l , o lcnlate the lolnl

dryi

ng

time,

AIJ mois luo

'e

co nlen ls ore OJI th e dry

.

Two, s x MAJUtS

QUDTIONa 1

7-20)

11

. All.\<wc

nl

c following :

•· 10

6

Joul

es

of

ate

r a r u ~ m : d ti·om

• "'-"t:niOr al ~ to

ll1l

gffie

lh;,t

x : r o t ~ on lhc C'amol cyd

o.

Th .;.

cop oc

rejects

hQnl to • r(.-,urvuit ol

27"C. Dete

rm

ine

d•

e

tb

etJn"l

effiai

ency of the cycle

~ n d

the wor

li;

don"

by

Oc

e

cnglM.

13

nw

rks)

b.

An

tnvo::

nt

or

clnims 10

h

ow duvoloJ"'<<

o rofnserntion unit whc ch mn

int:>in

• lhe

rd h genned spa

 :<> at

- 3"

(" wh ile

opor3tinj in • room "'l

u:rc

tlce

tcmpct:alun: it

2 °

C nnd wlo.::h

ha

s •

ooefficient of perl'o

ml3n

ce of 9,5, How

do you evaluate-his claim? {3 marks)

.:. Consider the compt'tssion of ail' from

UY Pa

;\(

27'C Ill 3 10

6

P ~ In •n

iuo•l

tw ll-•lt{ge

n t p m

~ o r

with

inl.:t'C Wiing,

o \ . , ~ u m

U1

lll

th"

m

o r : ~ l u

..

r

lht: u

it

lcnv

in

J

th

e

intctCAlulor is

aiM>

27 C •nd thnt

lloc

op1imu111

 

~ g e

n : . . ~

u r < : is used,

Tbc; c o t n c ~ ; ~ c • i < w 3nd

Ul t I

>O

iyltt)l)iO CXf

l()ll

eni ii is [ ,31) fhr

both D e t o r m the

\\

Ork of

~ m p r e s s i o

per

kg of air, (tl mnrks)

IK Answer tho l>

ll

uwing -

a.

& plsin

in nne or

t

"o

li<nlcncc.,. why

Ute g ~ t c : r n e n t l o .,..,

( i)

'f]l

e

- s t a t

•ppr

ox im

;

tlinn

i

q"

Page 6: GATE Chemical Engineering 1992

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http://slidepdf.com/reader/full/gate-chemical-engineering-1992 6/6

   w   w

   w .  e   x  a

  m  r  a  c  e

 .  c  o  m

rodtc

al 

c)twq

  mcc

hanu

nt illv

olv

 

ll$S

Wnp

tion

that

sinc

e tlt

e

ronc

entrn

li oll

of

any

par

ticula

r

al

l1mic

  or

radi

cal

i < l is

oo

im

 all 1

11at

tl 

can be

  tak

en  t

o be

 

(2 tn

ad:s) 

(

i:i) C

oal

f

\)nJI 

lfl in

Loxpl<

:lsive

 mixtu

re

w

itlt  a

ir

a

t o

rdimu

y

tern

perat

ntes 

w

henlt

 

l

fine l

y diVtd

cd fo

rm .

 

(2

 marl:

s)

(

 

)

  lnl

tibitio

n

JB the J

li'OCC

fS whe

re the

 

ra

te-of

reac

tion 

11

by 

low

t'riu

g tho

 tcmJX

:nuu

ro . 

(

3 m

arks

)

b.

A l

lomo

geneo

o E 

iquid

 phas

d

r

eactio

n

~

 

R

, .

. .

k

c .=

 

Iukes

pla

ce witl1 

S

O c

onven

;ion

Ul a

w

eU

r

eacto

r

' f l l O

isolh

erm a

lly. 

Whu

l w

ill  b

e  r h

e

conv<mm:m

it

Ute

reuctN ts

replacYd

by 

n

v

 ug

flo

w lyl

'e of <'<\lU

ll

size

 

a

ll e

lse 

rema

irung

 the s

ame1

 

(

3

rna

s:ks)

o

C

mst

del: tb

l el 

·\ lf e

lem e

ntal)

react

iow:

A  

4  

.

n

  : 

c

 

A

t

time

I

=

0

, n ba

tch 

react

or

IS

fill

ed

with

 

a

 mix

ture o

 A

an d 0

  W

hat

is ilie

 

re ls

tim  bctw

CCII

th<'

oonc

cntrat

io IS

of

B

 andD

 after

 n

time

 I?

(

3 ma

rks)

A.

n.-we

r tbe

f<ilowllll

qu.

.'Stions

 

a , 

A thC

illiO

mcte

r f

oDov.-s

ti

m-or

der

dynam

ics w

ith

a tim

e

oo

n

l 1anl

 0 2 m

in . 

l

t is

p i   ~

  i11

11 te

Jnper

nrure

  ball

t at 

Joo•

c an

d is aU

o

wl

'll

tn

reach

 

ste

-ad)

'

stal

e. lt

  is

sudd

enly

b·uu

sfenc

to

unol

l

1e

r ba.lh

 ul  15

0 C

 n.l ti

me I

=

 

0 a

nd

is

leJ1 t

ht)J: e

  f1

1r 0

 2 min 

II

y

retu

rned

 

to

 

Ute or

ig ina

l

bath

 

a

t 1

 oo•c.

C

'al

culate

  r

endin

g' at

20

o

(i )

 I

 = O

J mm

 

(

ii )

I = O

 

m

in.

6mark

s)

b. 

~ n n i

:

(

i) Th

e ma

. mu

m 1\IDI

I fo

r l111lb1

e

op

erntiC

'Il.

( i

i)

1

1 t

e

C

Orre

JlOPd

ing

freq

uenc

y

Qf

 

o n

~ ~ ~ r  

( (> 1TlJ

 1b)

Am

wer

 tlte fu

llowm

g •

a  G

ive

the

e;>.. ]J.t

'l$8tC'J

tt 

~   th

e  tw

princ

ipal

stres

ses 

fo r 

a ~ y ~ n

d n c a

~ u r

clo

sed

at  b

oU

t

 e

nds .

(2

mark

s)

b

. For

a s

as

cylin

der,

dcSts

ncd 

01 1  th

e

• f

hin

Cyli

nder P

rinc ip

l

e'·, c

alcu l

ate

the-

tlticl:ness

of

o

acnmless

cylinder

u

nder 

th

e f<lilo

whl8

 con

dition

. :

o

f N.

 

g

as

in

 

d

te  ey

lutde

.

=

 

100

10

5

N

Te

lliile

 

st

re 'S 

o

~ 120

0

10

N/m

.:

ilte

rnal

dia

mete

r of c

yluld

er = 2

5

e

m

(

 I m

arks)

 

c

. 11te

 pl l

llt  of

c l l ~ J

i c n l c

o

ru

prury

 h

as

initi

al wo1

li

o

f

Rli S

l:

lkbs,

and au

l' lrim

aled

  s a l V

val

ue

o f

R.B . 2 lu

khl

itt

 

s-ervice 

l

if

e o

f8

y

enrr

(i )

 

G ive

n

8 o

bel 

wee

11  the

s

irnig

ht-lln

e an

d de

clinin

g-ba

lance

 

u

tetho

ds o

f de

prec

iation

. \Vl

uclt

me

thod

woul

you 

recom

men

d to

-ave

tall

w

1d

w

hy

?

(3

marl:

s) 

(

ti) '&

ttm at

e U1e

 l>oo

k valu

e of

he pl

ant

at

he

 

e

nd

of

I

yenn

 f<'r

ea

ch.

o

f U

te 

two

 me

thodP. of 

dopr

oclnti

cn

.

(3

rnark

s)