GATE 2011 Chemical Engg by Indreesh

7/28/2019 GATE 2011 Chemical Engg by Indreesh

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CH011

CH : CHEMICAL ENGINEERING

Duration: Three Hours Maximum Marks: IOO

Read he ollowing nstructions arefully.

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2.- Take out the Optical ResponseSheet ORS) from this QuestionBooklet without breaking the seal

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4. Write your registration number, your name and name of the examinbtion centre at the specified

locationson the right half of the ORS. Also, using HB pencil, darken he appropriatebubble under

eachdigit of your registration number and the letters corresponding o your testpapercode (CH).

5. This QuestionBooklet contains24 pagesncluding blank pages or rough work. After opening the

seal at the specified time, pleasecheck all pagesand report discrepancy, f any.

6. ,There are a total of 65 questionscarrying 100 marks. All these questionsare of objective type.

Questionsmust be answered on the left hand side of the ORS by darkening the appropriatebubble(markedA, B, C, D) using I{B pencil against he questionnumber.For each question darken the

. bubble of the correct answer. In case you wish to change an answer. erase the old answer

completely. More than one answer bubbledagainst a questionwill be treated as an incorrect response.

7 QuestionsQ.1 - Q.25carry l-mark each,andquestionsQ.26- Q.55 carcyZ-markseach.

8. QuestionsQ.48 - Q.51 (2 pairs) are common data questionsand questionpairs (Q.52, Q.53) and

(Q.54, Q.55) are linked answerquestions.The answer o the secondquestionof the linked answer

questionsdependson the answer o the first questionof the pair. If the first question n the linked pair

is wrongly answeredor is unattempted, hen the answer o the secondquestion n the pair will not be

evaluated.

9. QuestionsQ.56 - Q.65 belong to GeneralAptitude (GA). QuestionsQ.56 - Q.60 carry l-mark each,and questionsQ.61 - Q"65 carty 2-marks each.The GA questionsbegin on a fresh pagestarting from

page19.

10. Unattemptedquestions will result in zero mark and wrong answerswill result in NEGATIVE mar*s.

For Q.1 - Q.25 and Q.56 - Q.60, % markwill be deducted or each wrong answer.For Q.26 - Q.51

and Q.61 - Q.65, % markwill be deductedor each wrong answer. The questionpairs(Q.52,Q.53),and (Q.54, Q.55) are questionswith linked answers.There will be negativemarks only for wrong

answer o the first questionof the inked answerquestionpair, i.e. for Q.52andQ.54,% mark will be

deductedor eachwronganswer.There s no negativemarking or Q.53andQ.55.

11. Calculator s allowedwhereas harts,gaph sheets r tablesare NOT allowed n the examinationhall.

12. Rough work can be done on the question paper itself. Additionally, blank pagesare provided at theend of the questionpaperfor rough work.

Name ZruoRF_r:sH.B

Registration Number CH -1 o 3 I + I +



Q. 1- Q. 25 carry one mark each.

Q.1 Match the polymerisationmechanismsn Group I with the conespondingpolymers n Group II

(A) P- [r;

(c) P- il,ilI;

GROUP I

P. Chaingrowth/additionpolymerisationQ. Stepgrowth,/condensationolymerisation

GROUP il

I. PolyethyleneII. Polyvinyl chloridetll Polyethyiene erephthalate

P-LII ; Q-uI

P-I; Q-I I , i l I

Q-I, t r

Q-r (D)

Q.2 Which ONE of the following sequencess arranged ccording o INCREASING calorific value?

,l^

j-(A) Producergas,Natural gas,Water gas ' fn) Natu.al gas,Producergas,Water gas

(C) Producergas,Water gas,Natural gas (D) Water gas,Natural gas,Producergas

Q.3 The CORRECT sequenceof processequipmentused n the production of sulphuric acid from

sulphurby contactprocesss

(A) burner, catalytic converter,987osulphuric acid absorption ower, oleum absorptioncolumn

(B) catalytic converter, oleum absorption column, 987osulphuric acid absorption ower, burner

(ffimer,catalytic converter, leumabsorptionolumn, 87o ulphuric cidabsorptionower

(D) burner, oleum absorption column, catalytic converter,987o sulphuric acid absorption ower

Hydrotreating is used or.4

(A) removal of water from crude oil

+ (B) treatmentof crude oil with water/'1,/

@) improving octanenumberof gasoline

(D) removal of sulphur and nitrogen from petroleumfractions

Q.5 Zeolite ZSM-5 is added o commercial FCC catalyst or

(A) promotingSO2 eduction

(B) promoting CO oxidation

(C) improving tolerance o metal content in feed

(D) enhancingOctanenumber

2t24



CH

Q6 Minimum input rcquired o calculate he 'blankdiameter' or a torisphericalhead s

(A) crown radius

(B) crown radius, knuckle radius and length of straight flange

(C) knuckle radius and length of straight flange

'(D)crown radiusand knuckle radius

Q.7 Match the processparametersn Group I with the measuring nstruments n Group II

GROUP I GROUP II

P. Flame temperature I. Thermocouple

-.r'. a. Composition of LPG II. Radiation pyrometer

.(A)P-I I I ,Q-I ,R-rI

(67=rr, -m,R-r

(B)P-I ,Q-I I I ,R-I I '

(D) P-I I ,Q-I ,R-I I I

Q.8 The range of standardcurrent signal in process nstruments s 4 to 20 mA. Which ONE of thefollowing is the reason or choosing he minimum signalas4 mA insteadof 0 mA?

(A) To minimiseresistiveheating n instruments "/

(B) To distinguishbetweensignal ailure and minimum signalcondition.i '

(C) To ensure a smaller difference betweenmaximum and minimum signal V-

(D) To ensurecompatibility with other instruments

o-"-

t q g j Minimum work (I7') required to separatea binary gasmixture at a temperature?"6and pressurePs\.J

\-"/ lS

| ( i ) ( ?. )lw =-RTolyr lnl- ;L l+y2lnl ;Ll l

L \fpure,t) \ Ipure.2) l

where y, and y2are mole fractiofis, f purr,r and f prrr,z are fugacities of pure speciesat Zs and P6,

and /1 and f2arefugacit iesof peciesinthemixtureatTs,Peand,.I f themixtureisidealthen

I4l is

(A)o (n) -Rh[y, lny, +y2tny2l $'

(c) RZolyr ln yr + y2ln y2) (D) RZb

3t24



CH20ll

Q.l0 R is a closedplanar egionas shownby the shaded rea n the figure below. ts boundaryC consists

of the circlesC1andC2.

If Fr(x,y),Fz(x,r),* ^"d *

are all continuous verywhere

,,( aF^ an) -rhatfl . i - + laray [(nra*+ Frdy). which oNE of' i t dx dy )

X\

CORRECTLY depicts the direction of integration along C?

to'+ffiw"'

Which ONE of the following functionsy(x)

Note: a and b are real constants

- ax^has he slopeof its tangentequal o -'l

v

in R, Green's theoremstates

the following altematives

\,? 1.1 4 |

\ \ "

"f6) y =tlax' +b

(B)

(D)c)

Q.l1

x*b(A) y =-

a

(B) Y = ax+b (c) y=

0

-l

(o(B)l

[ -1

(o - l )rer[r

o)

(z(q

[;

fr )and Vr=

[ , IO" the corresPonding

\^./

V2) , which ONE of the following

! t 't r*

.,/ ( r oYD)I A

IQr 3

ffi"

Q.lz Let )"r=-land lZ=3 be the eigenvalues-. 1=[;)

f 'eigenvectorsf a real2x 2 matt ix4. Given nutP=(yf

matricesepresents-'tt

!-l

JI

I

0)r -t

(t '

-T',

Lb' i)



20tl

f,

,'Q-t1n4nepartial molar enthalpiesof mixing (in J/mol) for benzene component1) and cyclohexane

(component2) at 300 K and I bar are given by LH , = 3600x1 .a;:d,H , = 3600x1, where x,

./"' and x, are the mole fractions.

When ONE mole of benzene is added to TWO moles of\/cyclohexane,he enthalpychange in J) is

(A) 3600 @)2440 et6a $' (D)800

Q.14 ' One mole of methane s contained in a leak proof piston-cylinder assemblyat 8 bar and 1000 K.The gas undergoes sothermal expansion to 4 bar under reversiblb conditions. Methane can beconsideredas an ideal gas under theseconditions.The value of universal gas constant sr8.314t\

/J mol-'K-' . The heat ransferred in kJ) duringtheprocesss,J

(A) 11.52 q{ito (c)4.rs (D) 2.38

Q'15 - Consider the following two casesof movementof particles. In Case , the particle moves along thepositive y-direction and in Case I, the particle movesalongnegative ydirection. Gravity acts ulong

,r-' t_!" positive y-direction. Which ONE of the following options correspondsto rhe CORRBCT

j directions f buoyancy ctingon rheparticles?

Case Case l

p y- {'ro)

I''r'l!

*4

(A) Positive y-direction for both the cases,2{

(B) Negativey-direction for Case , positive y-direction for Case I

t't1

(p4\legative y-direction or both the cases

(D) Positivey-direction or Case , negarive -direction or Case I I

1

I,

\0

t\

1."

vv

tvi

t

I

CH.t

s



Q.16 Match the pumps in Group I with the corresponding luids in Group II.

GROUPI

P. Gearpump

Q. Peristaltic ump

(A)P-I I r ,Q-I

(C)P-i l .O-tr i r ,€4

(A) iniersely proportional to local film thickness

GROUPII

I. HighlyviscousiquidII. Aqueous terile iquid

trI. Sluny

t l

f

>L-

*

k>-J "

\{[ { ,

'(B)P-t I ,Q-I

(D)P-I ,Q-trS','

6f

F

Q.17 Consider two black bodies with surfaces51 (area= I m1 and Sz(area= 4 rrh. They exchangeheat

only by radiation. 407oof the energy emitted by 51 s received by 52.The fraction of energyemitted

by 52 hat is received by 51 s

(A) 0.05 (B)0.1 (c) 0.4 (D)0.6

In film type condensationover a vertical tube, local heat transfer codfficient isQ.18pr-

At

flat plate.The flow is

boundary ayer, when

51 -'

9y

Q.1e

(B) directly proportional to local film thickness

(C) equal o local film thickness

(D) independentof local film thickness

Ammonia (component 1) is evaporating from a partially filled bottle into surrounding air

(component2). The liquid level in the bottle and the concentration of ammonia at the top of the

bottle are maintainedconstant.Ni is the molar flux relative to a fixed location in spaceand "Ii s the

molar flux with respect to the averagemolar velocity of the constituent species n the gas phase.

Assume hat air in the bottle is stagnant.Which ONE of the following is CORRECT?

(Affi= constant,z= o, i+ J2=Q (B) Nr+ Nz=0,h+Jz-0

(D) N1= constant,Nz = 0, ,Ir = constant, 2= QC) Nr+ Nz=0,,f1= constant,2=Q

Q.20 $i{nultaneousheat and mass transfer is occurring in a fluid flowing over a

,zianilnar. The concentrationboundary layer will COINCIDE with the thermal

/J/ /

(A) Sc = Nu

CH

(B) Sh= Nu (C) Sh = Pr



V'

'1e /J 'l\

2011 CH

Q.2l Consider an irreversible, solid catalysed, iquid phasefirst order reaction. The diffusion and the

reaction resistancesare comparable.The overall rate constant (k ) is related to the overall mass

transfercoefficient (k,,) and he reaction rate constant ft) as

Iry(A) k" =

kk^ k+k.(B) k, = (c) k.=!-* (D) k"=k*k^

n:/t

"t ,

d.F*o', *o)

?i

., tg

' - t : '\

\ . \

^r '?

- :nit.F

lL r

(

I

k+k^ kk^

€

R

.('

,-/

Q.22 ReactantR forms threeproductsX, Y andZ irreversibly, as shown below.

'{ +}.

n1

,.:"E' / eE

The reaction atesaregiven by rX =kxCn, ry =kvCk5 and r2 =kzCn The activationenergies

for formation of X, Y and Z are 40,40 and 5 kJ/mol respectively. The pre-exponential actors for, all reactionsare nearly same.The desiredconditions for MAXIMIZING the yield of X are

.; --a:.t{e) high temperature,high concentrationof R dl ftigft temperature, ow concentrationof R .F '

e'(e) low temperature,high concentrationof R (D) low temperature, ow concentrationof R

Q.23 In an orifice meter, if the pressure drop across the orifice is overestimated by 5Vo, then the

PERCENTAGE error in the measured low rate is

(A) +2.47 (B) +5 (c ) -2.47 (D) s

Q.24 Two systemsare available for compressing6 m3ftr of ambient air to 10 bar. The first one usesa

single stagecompressor(Kl) and the second one uses a multistage compressorwith inter-stage

cooling (K2). Which ONE of the following statementss INCORRECT?

(A)K2 will haveknockout pots in between he stages

, (B) Discharge emperatureof Kl will be higher than that of K2

(C) K2 will consumemore power than KlaA

(D) Cost of K2 will be more than that of Kl

Q.25 In a thin-walled cylindrical vesselof thicknessr with inside radius r, the internal gauge pressure s

p. The hoop stressand the longitudinal stress n the shell are 6 7 ando7 respectively.Which ONE

of the following statementss TRUE?

t t isl- "r

(A) o7,=

(C) op =

, { { -(B)o7 =!!

Q)oh=+

pr pr

-.Or =.-

t4t

P ' .o ,-P '

2t ' ' t

pr,61=T

,61 #.t

5bI

*Yi

V-\*V

7/24



2011 CH

Q.26 to Q. 55 carry two marks each.

Q.26 Unit vectors n x and e directionsare i and & respectively.Which ONE of the following is the

'' directionalderivativeof the function F (x, z) =h(*' + z' \ utthepointP: (4,0), n the direction of

o ' ' t / . r \

\ \L- &)?

i(A) --+'a la

z\ z(B) L

(c) I

Q.27 Which ONE of the following choices s a solutionof the differential equationgivenbelow?

dvytv2-- j_7!_+. __

dxxxx

'.^t*j-j?..1*. "' ' /b'$

';' r + 2x2'[+ (e) Y=::-

/t

ffi-b*'*-'c-x-

-{L42

j '1 ::"1

\ I r ' -"' \1f oo

d* "q' ,J- \

, ! ' . ' , \ , ,

*_?(. i )

(D) 2tr

d".

t,

Note: c is a real constant

.-x '(A) vc+2x2

. -xt(C)y=-

c+2x3

Q.28 Thevalueof the mproper ntegrali A*(1+x")

*qi

u. l'

i. t

(A) -2n

:^ t!'lrrD I "y ' t

tg

- 7. \ r / 'v

* i Iej'-'--t t- & \

(6 n\B) 0

Q.zg Fuel cell stacksare made of NINE membrane electrode assemblies MEAs) interleaved between

TEN bipolar plates (BPs) as illustrated below. The width of a membraneelectrodeassemblyand a

bipolar plate are normally distributed with Fmne=0.15, IMEA=0.01 and FBp=5,

6 Bp= 0.1 respectively.The widths of the different layers are ndependentof each other.

l-stack idth-*

I

{Not drawn to scale}

MEA width BP width

Which ONE of the following represents he CORRECT values of

overall fuel cell stackwidth?

\>*

l-*l **/' ) { , .4 'L

a t '1 . t11

- .H"_,/ .r*\j ?

,, rj/ \ t l t ' r '\Frtort 'osrackl

for thB

(D) (5.15,0.11)

6"

CH

(A) (51.35,0.32) (B) 51.35, .09) (c) (5.15,0.10)



Q'30 In the fixed point iterationmethod or solvingequationsof the form x = g(x), the (z+ l)ft iterationvalue is xn+t= s(r,), where ,rn represents he zft iteration value. g(-r) and corresponding nitialguessvalue xo in the domain of interest are shown in the following choices.Which OflE of these

choices eads o a converged olutionfor x?

(A) S -- S- ' t?to - ' :

I

J{ ?!:-- r

1q :

(D)c)

,\.^, 9t = r/_ \ tJ

fi

^zf*su = I\ \

J*r--;.

h ' ' - 4"

i .t:--P3F*6

',..j-t A

':* t Ar'

"g,\

I4.

S- a

f , ' d '

\.,4.. A

+c

>13;L!

z*i + c

-l

iz

,;

* ' r( n *t). i 1 * l

e-*c(



n(- GV4=

O.L A2011

0.? R+ t*e

-Fr* fDo'

dF

&^9{

CH

Q.31 Ammonia is synthesised t 20Obar and773

ammonia is 0.45 mol/mol of fresh feed.compositions)s shownbelow.

K by the reactionN, + 3H, + 2NH3. The yield of

Flow sheet for the process (along with available

t Fresh eed

75 molVoH224mol%Nz

1 mol 7o nerts

(A) 10

\6 A

it '1

t"t

\

.: .'75 molVoH2

15 mol % Nz10 mol 7o nerts

it'5E

The single passconversionfor Hz in the reactor is 20 Vo.The amount of Hz lost in the purge as aPERCENTAGE of H" in fresh feed is

(B) 20 (c) 45l ; l

o?

I(D)55

Q.32 The following combustion reactionsoccur when methane s burnt.

CF{++ 2Oz -+ CO2 + 2HyO

2CHa+ 3Oz-+ ZCO + 4H2O

20 Vo excessair is supplied to the combustor. The conversion of methane s 80 Voand the molarratio of CO to CO2 n the flue gas s 1:3. Assumeair to have 80 mol ToN2and rest 02. The Ozconsumed as a PERCENTAGE of Or enterins thecombustor s

(A) 20 (B)62.s (c) 80 (D)83.3

Q.33 Consider a binary mixture of methyl ethyl ketone (component ,1) and toluene (component 2). At

323 K the activity coefficients 11 and 12 aregiven by

ln11=3 tw, - Vz+ 4ty2x1),nyz = t fw,+Vz- 4tlrzxz)

where x1 and x2 are the mole fractions in the liquid mixture, and ly, and ty, are parameters

independentof composition. At the same emperature, he infinite dilution activity coefficients, yi

and yi are given by ln yi = 0.4 and lny; :0.2 . The vapour pressures f methyl ethyl ketone

and toluene at 323K are36.9andl2.3LParespectively.Assumingthatthevapourphaseisideal,

the equilibrium pressure in kPa) of a liquid mixture containing 90 mol 7o oluene s

CH

(A) e (B) 18 (c ) 16 (D) s

t0/24



2011

Q.34'Two liquids (P and Q) having sameviscosity are lowing through a doublepipe

shown n the sehematic elow.

(A)2.s (D) 4

heat exchangeras

' ' * i tCi

r -Q \ X " i i tGL'* ,, * t ' : ' "

l iF '

Densities of P and Q are 1000 and 800 kg/m3 espectively.The averagevelocities of the liquids P

and Q are 1 and 2.5 mls respectively.The inner diametersof the pipesare 0.31 and 0.1 m. Bothpipesarc 5 mm thick. The ratio of the Reynolds numbers Rep o Req s

.-.,,ro"-^l

(B)1.5s (C) r+i

Q.35 The particle sizedistributions of the feed and collected solids (sampled or sameduration) for a gas

cyclonearegivenbelow.

Sizerange(pm)

Weight of feed in the size range(g)

Weight of collected solids in the size

range(g)

1-5

2.0

0.1

5-10

3.0

0.7

10-15 15-20 20-25 25-30

5.0 6.0 3.0 1.0

3.6 5.5 2.9 1.0

What is the collection efficiency (in PERCENTAGE) of the gascyclone?

(A)31 (B)60 (c) 65 (D)6e

Q.36 A liquid is flowing through he following piping network.The length of pipe sectionsP, Q, R and S

shown n the schematicare equal.The diametersof the sectionsP and'R aie equa-l nd the diameter

of the section Q is twice that of'S. The flory is steady and ldminar. Neglecting curvature and

entranceeffocts, the ratio of the volumetric flow rate in the pipe sectionQ to that in S is

f

(B ) 8 (c)2 (D) 1\7// \n .

l'),n{'i

-.{Y,q ,

CH

(A ) 16

i , = F\^r- *t ;,

11t24



1o - 3o

!,o 7 5+.6rv

| '! .')

!,1,;

1tt- l : '- r

I

h2-6a

CH0tr Q=" 5* , &l* f ,hr S1

o\Oil at 120oCis usedo heatwater t 30'C in a 1-1co-currenthell nd ube eat xchan*1f]r!/Y'.-zavailable heat exchangearea s 51.The exit temperaturesof the oil and the water streamsare 90 "C

- )/and 60 "C respectively.The co-currentheatexchangers replacedby a 1-l counter-current eat \1Vexchanger having heat exchange area 52. If the exit temperaturesand the overall heat transfer '

coefficients are same, he ratio of Sr to Sz is

(A) o (c)0.e1 (D) 0

Q.37

Q.38 An aqueous sodium chloride solution (10 wt 7o) s fed into a single effect evaporator at a rate of10000 kgihr. It is concentrated o a 20 wt % sodium chloride solution. The rate of consumption ofsteam n the evaporator s 8000 kg/lr. The evaporatorcapacity(kgftr) and economy are

ffi,o.ezs (B ) 10000,0.625 (c) 5000, .6 (D) 10000, .6

Heat is generateduniformly within a solid slab. The slab separates luid 1 from fluid 2. The heattransfer coefficients between the solid slab and the fluids are h1and hz(hz> h1) respectively.The

steady state temperatureprofile (T vs. x) for one-dimensionalheat transfer is CORRECTLYshownby

(A) (B)

(D)c)

i

.*-' 'r-."4

I

CH



*

A gasmixture is in contactwith a liquid. ComponentP in the gasmixture is highly soluble n theliquid. Possible oncentration rofilesduring absorptionof P areshown n the choices,where

mole fractionof P in bulk liquid

mole fraction of P in bulk gasmole fraction of P at the interface in liquidmole fraction of P at the interfacein gas

equilibriumgasphasemole fractioncorrespondingo x;

TheCORRECTprofile s

F r* lDrouo s W+ ?'

looo ?.A'&P'

(z Sooo h.re Soaa.

w

,\ /

-- t l1

' /\ nr

I

(a

t

CH

4rtl)



V*I \ d l:.s*"*"

,tqial*?' batch f 120kg wet solidhas nitial moisture ontent f 0.2kg water/kg ry solid.Theexposed''**---- areaor drying s 0.05trtkg dry solid.The rateof drying ollowsthecurvegivenbelow.

t. o

1.4

1. 2

1. 0

0. 8

0. 6

o.4

o. 2

0. 0

0.1

Moisture oontent,

0. 3

X (ke water/kg dry solid)

Id

elF

o

H

C)li

Lro€

Bbo

J1

bor-.i

>t.o(|i

C)+l

Q.42 For a first order catalytic reaction the Thiele modulus (/ ) of a sphericalpellet is defined as

, R" IKP,Q:-^r-

3\D"

The ime required inis

(A) 0.033

where

pp = pellet density

D" = effective diffusivity

lf Q> 5, then the apparent activation energy

energy(E) as

(A) E, = Pos (B) E" = 0.5E

hours) for drying this batch to a moisture contentof 0.1 kg water/kgdry solid

(B)0.43 (c ) 0.6 (D)2.3r

4 = pellet radius

k = first order reaction rate constant

(E.) is related to the intrinsic (or true) activation

(C) E" = 2E (D) E, = E2

/

t4/24



CH011

Q.43 The following figures show the outlet tracer concentration profiles (c vs. t) for a pulse input.

tJt

Match the figures in Group I with the reactor configurations in

GROT]P

P. Figure 1

Q.Figure2

R. Figure3

0

Group II.

GROUP II

I. PFR

II . CSTR

trI. PFR and CSTR in seriesIV. PFR and CSTR n parallel

(B)P- IV,Q- [ I I ,R- I

(D)P-I, Q- I I I ,R- I I

(A)P-n,Q-IV,R-m

(c)p- I I I ,Q-IV,R-I I

Q.44 The following diagramshowsa CSTR with two control oops.A liquid phase, ndothermic eactionis taking place in the CSTR, and the system s initially at steady state. Assume that the changes nphysical propertiesof the systemare negligible.

TC: Temperaturecontroller, LC: Level controller, TT: Temperature ransmitter, LT: Leveltransmitter,V1 and V2: Control valves

Which ONE of the following statements s TRUE?

(A) Changing he level controller set point affects the openingof V2 ONLY

(B) Changing he temperaturecontroller setpoint affects the opening of Vz ONLY

(C) Changing he ternperature ontroller setpoint affects the opening of BOTH V1 and V2

(D) Changing he level controller setpoint affects the openingof BOTH V1 and V2

CH



20ll

.. Q:4j.iA processplant has a life of 7 yearsand its salvagevalue is 30 7o.For what MINIMUM fixed-'- "

percentageactor will the depreciation mount or the secondyear,calculatedby declining balancemethodbe EQUAL to that calculatedby the straight line depreciationmethod?

(A)0.1 (B)0.113 (c)0.s27 (D)0.887*A

,

f,?

Q.46 A continuous ractionatorsystem s being designed.The following cost figures are estimated or a' reflux ratio of 1.4.

Fixed cost ncludingall accessoriesRs.) or Operatingcost (Rs./year) or

column condenser reboiler condenser

cooling water

reboiler heating

steam6x1 2xI0o 4xl0 ' 8x10o lx l

The annualisedixed charge s 15 Voof the fixed cost.The total annualised ost (in Rs.) s

(A) 10.8 106 (B) 13.35 106 (C) 15.9 106 (D) 3.15x 106

:" )LQjJ./Match the reactions n Group I with the products n Group IL

CH

GROUP I

P. Ammoxidation

Q. Nitration

GROUP II

I. Aniline from benzeneII. Benzoicacid from toluene

R. Dehydrogenation III. Acrylonitrile from propyleneS. Oxidation IV. Styrene rom ethylbenzene

ffit, e-r,R-rv,-rr(c) P- I, Q - III, R- IV, S- tr

(B) P - IV, Q - I, R - III, S - II

(D) P - I, Q - II, R-

III, S - IV



2011

Common Data Questions

Common Data for Questions 48 and,49:

For a liquid flowing througha packedbed, he pressure rop per unit lengthof the bedM

i,

Lp=tsottrvot- e)2+r.7spfvtr-€)

L

L (o'a)' '3 Q'v

"there 79 is the superficial iquid velocity, g is the bedporosity,d o is average arti cle size,Q" is particle

sphericity, p7 is liquid density and py is liquid viscosity.

Givendata: 7p=IxI}- t^ , A=0.8, p/ =1000kg/m3 , Fy 1x10-3kgm-ls- l ,

pArticle ensity,pp=2500kg/m3 andaccelerationue o gravity, g =93m/ s2

Q.48 When 79 is O.OOS /s anda = 0.5 , which ONE of the following is the CORRECT value for the

ratio of the viscous ossto the kinetic energy oss?

(A)0.0e (B)1.07 (c) r0.71 (D)e3

iq.+g dn further ncreasing79, incipient luidisation s achieved. ssuminghat theporosityof thebedL**-" --r"-uins unaltered,hepressure ropperunit length in Palm)under ncipient luidisationcondition

is

(A)367s

CommonData for Questions50 and 5tr:

(B) .5

(c ) 14700 (D) 73501

9!, ( ( r ) (1,-&) iL

'/ ,

j

I

A binary feed mixture containing equimolar quantities of components S and T is to be distilled in afractionating tower at atmospheric pressure.The distillate contains 96 mol 7o S. The q-line (feed line)intersectshe equilibrium ine at x' = 0.46 andy' = 0.66, where i and y'are mole fractions.Assume hat

the McCabe-Thiele method s applicableand the relative voldtility is constant.

Q.50 The MINIMUM reflux ratio is

I (A) 1.6 (D) 0.6

ao }F

?r ' ! '

g'*" >,oRD'=c) 0.66

(B) at bubblepoint

(D) partially vapour

x/-Ntt

= 0,66-0.)6

* ,+6-a,16

= 91! sa.6a"5

Q.sJ-lrne eeds

(A) at dew point

(C) superheatedapour

CH t7/24



t

. jI

t1

t

p t! ) --

, - : t \ \

Linked Answer Questions

Linked Answer Questions 52 and 53:

Q.52 In an aqueoussolution, reaction P -+ Q occurs under isothermal conditions following first order€ kinetics.The feed rate is 500 cm3/minandconcentration f P in the feed s l.5xl0-4mol/cm3. The

; reaction s carried out in a 5 litre CSTR. At steadystate,60 7o conversion s observed.The rate - "* .nconstant l inmin- l ) is

1- 'q-F -t /

t

,/ n /{:.

<3 !r (A) 0.06 '(8/0.15 (c) 0.2t (D) 0.28 .iN I *. . *{ r '

; + tJ ' .o.bt.s

. gtu t/

'T-J

"Q'Sg

The 5 litre CSTR is replacedby five CSTRs n series. f the capacityof eachnew CSTR is 1 lirre,

, $ then he overallconversion in7o)isa\ l

iv .i. :l' . I (A) 5 tw&" @)tz (D) 1

r : / t1 ct f 'LF t

Statement or Linked Answer Questions54 and 55: L!-i ^ "5 +

'::;

{{ t tA PID controller utputp(t), n timedomain,sgivenby '; 5 +

f -+

e(r)4s sr1,1r.xirQya,tsd'!')tr

or,*--- dt r- s( la t ,.L

where ,(t) is the error at time t. The transfer function of the processto be"controlled

is

/ \ l0G, (sI=;:-------l . The measurementf thecontrolled ariables instantaneousndaccurate.Y\ /

(200s+1)

' f t *(+t ' l= >\

Q.54 The transfer unction of the controller is +s

, -rI ( tzrz+*1t t )

Ik t-

* lo

l i l ""o-

vt\ (A)s(rz'2 +s+r) sfzsz 3s+r)

(B) ---rt

s(tzsz :s+t)

g'*{O"

'-O'*) '

Y*cr

l^

{B)'100s" 102s+25=0

(D) 240s3872s2204s-rl=0

' tV le t

* 2r to S + €

: t l

t

7aa9'+ < +,grs2

*5oS+tz

l5J

'gs

q3

l?

Atzt2 +4s+1)L(c) ' '

4s

Thecharacteristicquation f theclosedoop s

(A) 6s2+102s+1=0

(D)

Q.5s

. -+' 1^ja \ /\ .7'5

(C) 100s'-I96s-25=0



GeneralAptitude (GA) Questions

Q. 56- Q. 60 carry onemark each.

Q.56Choose the most appropriate word(s) from the options given below to complete the following

sentence.

Icontemplated-Singaporeformyvacationbutdecidedagainstit.

tditf visit .(B) having o visit

(C) visiting(D) for a visit c{-

I f Log (P)=( l l} )Log(Q) =Q/3)Log(R),thenwhichof thefol lowingoptionsisTRUE?

(A) P2= Q3R2 (ffi= pp . (C) Qt= p3pee* (D) R = P'Q'

K--o

.r'l Ltx

'Rf t '

i . 'e

-f

Q.s7

-*t"'t-,

Q.58

Q.5e

Q.60

Which of the following options

Inexplicable.,1-\

."'. A) IncomPrehensible

i-(B) Indelible(C) Inextricable(D) Infallible

Choose he word from the optionsgiven below that is most nearly opposite n meaningto the given

word:

Amalgamate

(A) merge(B) split(C ) collect

(@Separate 'Choose the most appropriate word from the options given below to complete the following

sentence.

If you are trying to make a strong impression on your audience, you cannot do so by being

understated, tentative or .

(KJ hyperbolic(B) restrained(C) argumentative(D) indifferent

is the closest n the meaning o the word below;0"=

g

-ol

zXe

,?K;@

Q. 61 to Q. 65 carry two marks each.

Q.61 The variable cost (V) of manufacturinga product varies according to the equation V= 4q, where qis the quantity produced.The fixed cost (F) of production of sameproduct reduceswith q according

,*{'to the equationF = 100/q.How many units should be produced o minimize the total cost (V+F)?

(D) 6 ?0. 6?.A+fr

Qe

(B)4

ql 4+t ' t l rT

tp s,*

tb- 'o+#*tu

CH

$.ke" S'



Documents

GATE 2011 Chemical Engg by Indreesh