gate chemical engineering 2010

8/10/2019 GATE Chemical Engineering 2010

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CH: CHEMICAL ENGINEERING

Duration: Three Hom,; MaximtU I Marh_ 100

Read U,., follo..-;ng instructiom carefully.

I. This question fl'lper comains 16 pages mcluding blank pages for roughW ITk

Please check all pagesand report discrepancy. if any.

2. Write yonr regisuation number, your name and name of the c ~ a m i n a t i o ncen Je at the specifiedlocations on the right half of the Optical Response Sheet (ORS).

3. Using HB pencil, darken the appropriate bubble under each digit of your registration number and theletters corresponding to your paper code.

4. All questions in this paper are of objective type.

5 Questions must be answered on the ORS by darkening the appropriate bubble (marked A. B. C. D)

using HB pencil against the question number on the left hand side of the ORS. For each questiondarken the bubble of the correct answer. In case you wish to change an answer, erase the oldanswer completely. More than one answer hubbled against a questioo will be treated as an incorrectresponse.

6. There are a tolal of 65 questions carrying 100 marks.

7. Questions Q.l - Q.25 will carry -mark eac-h. and questions Q.26- Q.55 will carry 2-rnarks each.

8. Questions Q.48 - Q.51 (2 pairs} arc common data questions and question pairs (Q.52. Q.53} and(Q54. Q-5:5} are linked answer questions. 1 he answer t the second question of the linked answerquestions depends on the answer to the first question of the pair. if the first question in the linked pairis wrongly answered or is un-attempted, then the answer t tbe second question in the pair will not beevaluated.

9. Questions Q.56- Q.65 belong to General Aptitude (GA). Questioos Q.56- Q.60 will carry 1-markeach, and questions Q.61 - Q.bS wtll carry 2-marks each. The GA questions will begin on a freshpage staning from page 13.

10. Un-attempted questions will carry zero marks.

II. Wrong answers win carry NEGATIVE marks. l'o r Q . l - Q.25 and Q.S6 -Q.60. mark will bededucted for each wrong answer. For Q.26- Q.51 and Q.61- Q.65, mark will be deducted for each

wrong answer. The question pairs (Q.52. Q.5J). and (Q.54,Q.55

are questions with linked answers.There wtll be n e g a u ~ emark< only for wronl' answer to the first question of the linked answer questinpair i.e_ for Q 52 and Q-54, % mark will be deducted for each wrong answer. There is no negativemarking for Q.53 and Q 55_

12. Calculator (without data connectivity) is allowed m the examination hall.

13. C'h:ms. giaph sheets or tables are NOT allowed in the examination hall.

t4_ Rough work can be done on the question p:oper it :lf_ .\ddition:olly. bbnk pages arc pro,oded at theend of the question paper for rough w o r ~

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10 0 'Q . l - Q.25 carry one mark each.

'

Q.J The critical speed revolutiuns per unit time) of a ball mill of radius R which uses balls of radius r,>

IJ*A I

b r / R r

IJ1B - -2ff R

IHC - - '

Q 2 The ratio ofNusselt number to Biot number is

A) conductive resistance of fluid I conductive resistance of solid(B) conductive resistance of fluid convective resistance of fluid(C) conductive resistance of solid conductive resistance of fluid(D) unity

lr sD J - 21 R - r

Q.3 The ratio of the thermal boundary layer thickness to the concentration boundary layer thickness isproportional to

(A) Nu (B) Le (C) Sh (D) Pr

Q.4 For a first order isothermal catalytic reaction, ~ P. occurring in an infinitely long cylindricalpore, the relationship between effectiveness factor. t : . and Thiele modulus, , i s

I(A) t : ' - f (B) t:= C) t:"'-l

ID t : = -

Q.5 Match the location of the poles/zeros in the s-plane. listed in GROUP L with the sys tem responsecharacteristics in GROUP II.

GROUP I GROUP IIP. Pole in the right half plane

Q. Pole at originR. Zero in the right half plane

(A) P - I , Q - I I . R - I l lC ) P - i l l . Q - l l . R - I V

_ Stable responsefl_ Integrating response

m Unstable responseIV. Inverse response

B) P - ][[, Q - I V, R - 1( D ) P - . Q - I V. R - i l l

Q.6 Which ONE of the following statements about baffles in a shell and tube heat exchanger isFALSE? Baffles

(A) act as a support to the tube bundle(B) reduce the pressure drop on the shell-side(C) alter the shell-side flow pauern(D) help in increasing the shell-side heat transfer coefficient

Q.7 The tenn. knuckle rad1us, is associated with

(A) flat heads{C) hemispherical heads

(B) torispherical headsD) conical heads

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'Q.8 In the manufacture of caustic soda from bnnc, which ONE of tile following statements is TRUE?

(A) The llll mbrane cell CANNOT produce concentrated NaOH solution. and CANNOT toleratecalclum and magnesium ions in the feed brine.

(B) The membrane cell CANNOT produce c c > n c c n t r ~ t e dNaOH solution, but CAN tolerate calciumand magnesium ions in the feed brine.

(C) The membrane cell CAN produce concentrated NaOH solution, but CANNOT tolerate calcium

and magnesium ions in ll>e feed brine.(0) The membrane cell CAN produce concentrated NaOH solution, and CAN tolerate calcium and

magnesium ions in the feed brine.

Q.9 For making superphosphate by acidulation of phosphate rock. use of nitric acid is desirable,because

(A) nitric acid is less expensive than sulphuric add(B) the availability of nirrogen enllanus the value of tlle superphosphate as a fcnilizer(C) the process produces non-hygroscopic superphospate(D) the process produces superphosphate having higher phosphorus contentth.an tlle sulphuric acid

~ =

Q.JO Match the processes in Group I with the products in Group 11.

GRQJ. Pl G8Ql. f: IIp_ Claus process L Syngas

Q. Linde process 11 ~ y g e n

R. Lurgi process IlL Sulphur

(A) P-1. Q-11, R-Ill (B) P-11, Q-1. R-Ill (C) P-lll. Q-1, R-11

Q.l l The inverse of the matrix r ] is(A) [ x -Y ] (B)[-12 y l-y C) [X-Y ]

Q.l2 The Laplace tranform of the function shown in the figure below is

A) Ve " '

.

. 'B) ~ ( e - e "')

(D) P-Ill. Q-II, R-1

{D) [ 2I -y ly

v ( , ID ) - e e. '

Q. 3 The Maxwell-Boltzmann velocity distribmion for the -


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A -2

/B) - I (C) i ln i

Q.l5 A root oftbe equation x - Jx+ I = 0 needs to be found usmg the NeMon-Raphson method. I f heinitial guess ...,. is taken as 0. then the new estimate. ' after the first iteration is

IA } -

3

IB ) -

)(C) 3 DJ -3

Q.l6 An equimolar liquid mixture of pecies 1 and 2 is in equihbrmm with its vapour at 400 K. At thistemperature, the vapour pressures of the species are P, ' = 180 kPa and P,' = 120 kPa.Assuming that Raoult"s law is valid, the value of y1 is

(A} 0.30 (B) 0.41 (C) 0.50 D) 0.60

Q.l7 A new linear temperature scale. denoted by 'S , has been developed. where the freezing point ofwater is 200"S and he boiling point is 400'S. On this scale. 500'S corresponds. in degrees Celsius,

o

(A) IOO'C B) 125"C (C) 150'C D) 300"C

Q.l8 A satunltcd liquid at 1500 kf'a and 500 K. with an enthalpy of 750 ki/kg, is throttled to a liquidvapour mixture at 150 kPa and 300 K. At the u i t condotions, the enthalpy of the saturated liquid is500 kJ/kg and the enthalpy of the sacurated vapour is 2500 I


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Q.ll

n

r -

P=10.3 m

' l lS.Om

-2.0 m

-A s10111ge vessel exposed to atmosphere (absolute pressure = 10.) m of water) has a diameter of3 m and is initially filled with a t r r to a heigh of 2 m. The pump draws water from the vessel andis located a an elevation of 5 m above the lxmom of the vessel. The frictiooal head loss in thesuction pipe is 2 m of water. If the vapour pressure of the liquid at the temperature of operation is3 m of water. then the available NPSH is

{A) 2.3 m fB)5.3m (C) 6.3 m D) 8.3 m

Q.22 In Hagen-Poiseuille flow through a cylindrical tot... the radial profile of shear stress is

A) constant (B) cubic ((')parabolic {D) linear

Q.23 f low measuring instruments with different specifications (zero alld span) are available for anapplication that requires flow rate measurements in the range f 300 litreslb to 400 litreslb. Theappropriate instrument for this application is the ONE whose specifications arc

A) zero= l751iu-cslh. span= 150 litreslb(( ) zero = 275 I trc.th. span = 150 lim:.th

(B) zero = 375 liu-eslh. span = 100 litreslh(D) zero= 475 litreslb. span= 100 litresll

Q.24 The uansfcr function. C(s). whose asymptotic Bode diag;ram is shown below. is

'0

E o'.Q .

_.. - \0 , . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ; .w . . -,.

A ) 10.< + l

,.

B ) s -JO

.Frequency. radlaec

(C) . t+lO

10' ,.

D) lOr- I

Q 25 The nooding \clocity in a plate column. opcr.mng at I atm prer.surc. is 3 rn/s. If the column i>operated at 2 atm pressure. under otherwise ilkntical conditions. the nooding ,cJocity will b.:

A ) Y /2 {C) I ([)) 3/4

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Q U Q SS carry tw marks each

Q.26 Tile solution of the dtffcrenual equation

d v dY- - ; + 2 - +2v=Od r dr

with the initial conditions y(O) = 0, yl = l . i sdl

(A) - r s in r {B) -e (1 -cos t ) ((") - ( r+Sin l ) f2

Q.27 I f U= y i +xy) a n d ~ =.f' I +xl) . ~ c u r l ( i i ) ( ~ )is

(D) -e sin 1

(A) (2xy')i -( x+ y )) (B) (.n-x')l-(y-3xy)J{C) ( 2x y - 3x1)i -( Jxy' k (0) { 3 ~ : ~ - x i- / - 3x1y)}

Q.28 X and Y are independent random variables. X follows a binomial distribution. with N = andp = 1/2. Ytakes integer values l and 2, with equal probabtlity. Then the probability that X = Y is

{A) _

'(8) . .1

32 '( ) - 2 (D) 15Q.29 A bo>; contains three red and two black balls. Four balls are removed from the box one by one.

without replacement. The probability o f t ~ball remaining in ~ box being red. is

''M625 'B ) -5 'C)..:.5Q.30 Fora function g(x). if g ( 0 ) = 0 and g '{0)=2. then

' ' 2tlim J d 1,....., o X

is equal to

(AI "" (B) 2


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Q.36 The fig ure OOlow sh ow s stea d y stale t empe ra t ure p ro files f or one d im ensio n al hea l t ransfe r within a solid s la b for the follo w ing ca se sP: u n ifonn he at gen eration w ith le ft surfac e p c r f~ C t ly insu la tedQ: u niform heat g en eratio n with rig ht su rfa ce pe rf ectly in s ulate dR un iform h eat co n sumpt io n wah left su rf ace pe rf ectly in ,ulate dS. unifor m heat c o nsump ti on WJ h right su rface p erfect ly insula te d

I II

M at ch the p ro files wi th app ro priate c ases.

(A lP - J. Q -1 11. R II. S - IV (C) P - I . Q-IY R U .S- Ill

Ill

(B ) P - II, Q - I l l. R -1, S I V (D) P -I I .Q - I V. R I . S - I l l

IV

Q.3 7 l h e view f ac tor ma tr ix for tw o inf in itely l on g c o a ~i a l cy lin ders. sh own m the fi gu re be low . is

S/ aoc s"rf""" 1

II '~ - ----1: .~ . . . . . ~

'' '...... ..

(BJ ~ ~

Q.38 At 25 (' and 9 0% r el ative hu midit y. wate r evapo ra tes fro m the su rface o f a la ke a t tbe rate o f 1.0 k glm'l h. The re l ative hu midit y that w ill lead to an e v aporat io n rate o f 3.0 kg lm lh. with o th ercond it i ons re m ainin g the sa me , is

(A ) 30% (B) 50 % (C ) 6 0 (D) 7 0

...

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Q .3 9 A l iquid flo ,.,s ove r a flat naph th a lene p l ~t e o f le ngth L. at a R e ynol ds numb er R e , = Lp u_/ J I

o f 1 50 0 . as sh o w n in the f igu re. T he s u r fa c~ con cen \rau on of na ph thale ne is C ,, >C . .,. and th e

surf ace te m pera tu r e is T T _ A ssum e r = S c = l _

._.c_ .t_

'cA c, -c.,If. at x = L. - - = 1 0 w h er e C ~ a nd

.ly i ~ o CAR -CA,

fric tion c o effic ie n t at x = L ar e

/ = 1 the n t he N uss elt n um ber a nd theL

A ) ' _ B ) 10 . 10 (C) 2 0, 1 0Q .4 0 Tw o reac\o rs reac tor 1 a n d react or 21 w il h aver ag e re s iden ce t im e s. T 1 a n d r . respe cti vely . ar c

p lac ed in se ries . R e ac t or 1 ha s zero d i sper sion ~ n re acto r 2 has i nfi ni te d is penio tt . T he res iden ce -

li m e distr ib u tion. E t) o f th is sy st e m. is giv en b y

~+ r-'] t $r ,

~ r-']t T ,

> r 1 t > T ,e x p - e x pr, r, T r

(+ ~ J > r D) l_l_PO(~l T ,- e x p - t > T1 > r,T1 T, T 2 r

0. 4 1 n au toca taly tic l iq u id p has e rea cti on. A+ R - -t 2R is co ndu cte d in an isoth erm al b at c h re act orwith a smal l in itial co ncen tr a t ion of N A ssu m e th a t the or der of reac tion wit h r espe ct to bo th

re actan ts is po siti ve. T he rate of reac tion -r A vers us c o n ce nt r ~ t i on CA. a s t he re act ion p ro c eeds .

is de pic ted b y

' r- -- , (C/-) I D r - - - - - ,

Ci t

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lOIO CH

Q.42 A block diagram for a conuol system is shown belo"-

R :2, ~ E s211+02


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Q.62 Hari (H). Gn a (G)- Ir fan I) and Sa ir a (S) arc ,;bri n gs (i.e . brothe rs and s iste J- All wer e born o nI ~ January_ The ag e differ e nce be tween a ny two ~ u ~ c e s si v esibl in gs (th at is bor n one a he r an o th er)is le ss tban 3 ye a rs. G iven t be follo w irlg fa ct s.

H ari- s age G it a 's ag e > Illan s age Sa ira' s age_ll The ag e diff er ence b e tween G ila ~ n Saira is I yea r. Howe ver, Git a is no t the

ol d est and Saira is not th e yoU IJlCSt. 111. The re are no twins .

In w ha t orde r were t hey bor n (oldes t til'st)'l

A) HS IG B ) S G HI (C ) JG S H D ) IHSG

Q.63 Mo d e m w a r fa r e h as c h a n g ed fr o m lal'l le scale das h of an ni to supp re s s ion o f c iv i l i a Dpop u lation s . Chem ical ag e nts th a t d o th ei r w o r k si len t ly ap p ear to b e sui te d to suc h warf are ;an d regnotf u lty, th en ex i s t peop le in m il i ta ry e s tabl i s h m en t s wh o t h ink th a t chemi c al age ntsar e useful tools f o r their c ause .

Which o ft he foll owing s u u e m e m s bes t sums P rhe m e a ning of r h ab o ve pass age:

(A ) M o dem w arfare h as resul te d in cJVJl .

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