GATE Chemical Engineering 2001

8/10/2019 GATE Chemical Engineering 2001

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I ATE - 2001 t oC'JIt=::=' CHEMICAL ENGINEERI = G====== J

SECT10NAONE MARKS QUESTIONS 1-25)

Th i s qu estion consists or TWENTY f i VE sub -ques lions (1 - 25) or ONT:l mark each. For eachof tiJese sub-q uesti .OUS, (OUJ' poss ible 911SWI'I $(A, B, C a nd D) : ~ r egiven, o ut of which onlyone is rorrect. A nswe.1 e.1ch sn.b-queslion bydarkening the appropriat e bubble.- on theOBJECTIVE RES PO 'SE S AEET (OR S)using a so rt 1\-ID pl'llcil.. Do not use the ORS fo1:m y ro ugh work. Yo u n1:1y like to u se lfeA nswer Book for any rou_gb wo1k, if needed.

3,

(Marks: I 25 = 25)

h ~l'nlue of U1e follomng deiermmantI tl I I () ll

- 2 (I () ()

3 5 3 () IS- 1 ~ 7 ~ I

- 5 ~ I

b . 32c. 112d. C)

Tbe \ aJue Of{I + i)k, where I = .[-:1, IS~ 8 ; ..hb. 8 4 i

c, 16d. 8

A r e a s o n a b t ~gerJeral e ~ r e s s i o nfor\':tpour-Hquid phase eqwhbrfum a t I0\1 tomoderate pf\ SStrres ISP y,E = x , } ,~

1\1\ere tj); is a vapour fugacit) coeJ:licienLy1is the liquid octo 11y coeftic1enl. and r ISthe fugacity of pure componen t i l11e K:

lue (y, -= xi ~ d l t r e f 6 r ~ .gener l. :tfunct1on ofa t e m p e rt ~u r eonlyb temperature and press11e Oil[)'

L

c. temperature. prossure. 311d liquid

composition onlyd. temperature.

compos I l l oncomposition y;.

pressure,x;. and

hquidv pour

High pressure steam is e.'lumcledadiabatically tllld re1ersib l) ~ ~ ro u g h a wellinsula ted t urbi n.OintApplyu1g a pressure drop : (:ross capillaryr ~ s u l t sin a volumetric low role Q w1derlnmonar now condmons . The no rate. for


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the Silme pressure drop. in ~ olllpiUory ofthe o m ~length but half the r3dius isu. Q/2l;i, Q/4~ Q/8d. Q J6

9. l11c bc:U ~ f o rby rndialiM fr om a milt~ le el surface i l In be redooed by reducingthe cmissM ty of the surfuce. f h~ Clln b ~hestachlcvcd by

10.

11.

1 2

3. pamtln g the surf ce blockb. paintin g h ~ surf., . . whil ec. givt ns the rur.l'ace a mirror finio1td. roughenin g the $Urfacel lca t transfer v mslura1 co n cction t.sen baqcod in s ~ - s t . ;n with; + h igh viscos ity

b. high cooffic.iont or tltenna1 expansione low l\o. Dtpc:rntorcgradientsd. Low d"lllit y . b n n g ~with l d l l l p < m ~ t u r e

' l11e urJl.cc Nnewal ftetjucucy inDanek\\ orl5' mo d d of moss tout fer iogiven bY (kL; mass tr:msfer coefficient.mM~ ~r c: o ~

b . ktD,c. k I D.a. ~ sben n estimi e( u s u 1 g B o u d ~wm) o d1e energy to griudthe p>tticle s .from a Vet') large si2o to SufUU j$a. 6.35 k\Vlt/ tonb. 9.0 1:''1%/tonc. 1 1 k W I ~ t o n

d. 25 .4 kWbiton34, '11te S tcder- nte o:orrelntion ror ten

l r o n s l ~in turbulent llow 10 ~ P ~ le giW>N t> Rc. wltett N il Ill he Kusor:llnumber andRei.> tl1el{.:yn old.< number forthe tJuw . 1\ssuroing tbnl lhls rclo tion ;;.


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volid. tho hoat lr.lnsfo:r coefficient, .ru;eswit h pipe ,Hameter (I) ) asn. JY""h, D . . . ~~ ~

tL DL83 5. bu ovcr:ill h c ~ tI.J'Jiru,[or L'Ocmcien or u

he ll and lube he ol 1 1


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d~ a =/;j ( t r .,)

d, d.t' = .l;{l - X, ) I( I+XJdt

43. Alt idea l PID ~ o u t mU e r has -the t r a n ~ t e r

tlmctioo [ 1+ li(0.5s )+0 .2s] The

.frequenc_'Y.al wfuclt t e Magnitll(le RaLi Ib. = Ic. < 1cL = , , , ,,An Invest ment of lts . I000 is C.1J1Ying anutlerest of I0% compounded quarterly ,'T'he value of Ott investment at the end ofliveyeu rs,viO be

11 1 ~1 ~ ; If

o f ~

b. LOOO(l+ O.I0)10

c. 1000( 1 .-0/J

II- IOOQ J+Q ~ IJ

17. P is th e iuvestmept ma de on rut eqoipmen:t:,S is ils sillvage value 311d i i is the life qtlto equipment m.years The depreciationfor he m'h year by the Surn-of-YearsDigill mediod will be

rr-s11

I

b- 1(;Jc .

E ..( S 1

d, 2 ( -m+l \P-S)f.I(IHl)

48 . In a cy.lindricalyeysel spbjected lo inlemalpressure, the longitudinal stress PL - 81ld, hecircmnferential stress , f S O~ - a ) - witlt increase intlte temperature and (b) - with lnorcasein the mole ratio ofS02. to air.a. (a) increas es (b) decreases .b. (a) decreases (b) irlcroases .c. (.1) increases (b) c ~ a s e s.

d. (a) decreases (b) deet"ases .For ~ t hydrogenation of oils , --(a)- iscommonly IJSed as c a l a l y s ~ad.d - b)--isa catalystpoisoiL~ a) P at.lnUnl b) Sill firr.b. (a) Plllladinm (b) O x y g e r ~

c. (a) Nickel (b) Sn lfiiT.d. (a) Nickcl (b) Oxygen .


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SECTION

FIVE MAIIK1I QUEST1 NS ( 5170)

l'h iS ~ e c t i o ncon>ists of I WENT Y quesiioos orf iVE marks each. A \ ' FLFTEEI\ Out of theseq r s l i ou ~ ha e lu be aDSIH'red on lhr An swerBook provided.

(Marks: 5 x 15 = 75)

5 1 The parnmetric equotion nf o curve is- r l ) = r l r f 1\ h dro l is the pll lllllc lof .

I

11, What type uf co111c (parnbolu, cucle ,e l l il : t S~ . llnd II)'I theduhydrog.,nauou of propane to propy lene.there ure no s td.: f'C


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57

58.

59

b If tho actual prcssw'e drop is (P, - P>)=3.25 kPa, find the friction loss factor(K,) bnsed on the veloc1ty v1

l'he wlumctrie now rate duru1g constantpressure filirat1on 1Stil Ieft K,l. I lq,

where V ~~ the total volumc or filtl' ltllcollected m ume. r. 4 ftnd the e ~ p r e s s 0 ~ f'or the effec11venessfactor of a cata lyst pellet 111 the form of athin slab such tl\at the area oftW\) oppositefaces i ~ much larger than the area of theother four faces Material A can diffusel'rorn both the l a r g ~faces . Assume a firs torder r<


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GATE Chemical Engineering 2001

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