Mathematical Methods for Chem. Engg

8/2/2019 Mathematical Methods for Chem. Engg

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rn" ..:p, '.!lENT'

C H 30 ?;; N 1 ATTime Limit: . ttl'

? d= , .1r- --, + 2 ._ T ..:- + y ::::di .t , .t : Solve thi,

2. Solve i e L I "ing eC :1e l 2 .1 - + y 00

"y the l~ . !L" S)


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l ala 1.\;1 ationnl l nstitu te ofTcch nology Jair 'rC he rn icu l E ng in ee rin g D ep artm en ti\ lid I cr.n Ex am- 1 Dated: 09/0.;(,1

Til\l~: 1hr, 1.\1 .10

_uf': \l~IC"E (\ I SEi\I)~,'de: 1l.1,I1) B. rech (Chemic:)l E ng ill (" 'in g

* :- \t h..1 l1 pt ( "\ l'r~ qU~;:,lir'n

Q ue:'::) F ind a u nable solution lru Il n li r ea r h om o ge ne ou s equation:l~/ ti lunder cond itions \\ hen b undary condiii ns ore _;_ =1, )' = 0 at .Y = 1 .dx .':01lC ntration profile as a function of z and 31s evaluate 1ll3SS tra nsfer rate.t;U = ' : f;;-;j ~h~ :~!Gt:c~!C' ~red~~t :J'~ ( ,"( \!:11"(') 'i l io.i1 !)r('\tlh~ in it ~"'l;, ke d tu l rea (o r underg0;'1~isothermal linear kinetin w!~h axial diffusion. ie packed tube heterogen us c-atalytic reactor is usednv by tile HI) oflhe chen I ,I re: -timl -tPi"( 111C{S;f!Jll' pr . . JlI lund r (assum ed ) isothermal co nd uion . D iffusion ail)l1!,). the ax is i < : ; Lontrol lcd b~ licl.iau-l i ke e'lll"ssioll so that. in parnllcl w ith tr n sp ort b: conv ccii n due to SUI ' rficial \ e i L 1 C ' i t ~ " . there ~

J J " ditlu,j,11l l i ke Jlux r presented b~ a ficki.in re lationJ - ~ ,C BE - - '-' I: . J7 (!\ tole/area.time)

3L'ing along till' longitudinal axis tz -C ordinate).OR

~ '" I {~' ( e l l ' J 'UC~_) JO \ e nOIl- lin ea r s ec on d o rd er e qu atio n: -- + _:_ - r = 0dx' dx . ..... .. CO 191.101< ..

\~ - -.S---",-C ,\ " ' I I .

1 5

1 .-


3/7

III

I I\) ,11",1. \1') \) ' ItI \lIlt" I III\1"

. 1 ,I'....,t..\(~\" ,

..I \1,. \ .'\, \," "t. \.' ":--. ..... LI .u \..\

,.I "d r ,. _1-'\ \\l,c':- 1111"'-\ "\UII'" h',I), ' , '1, ' I,\b I 11111--1, \11I"\n~\ I h .. : . I' .I S I"," 'I I I \"lkJ \ \ \ I "1.111

J = -D. /1:-",'11 l" , ,'1 1\ ', \1 ,'1 1 .III,' h' : - 1' 1" '\ \ \ ' \,11 "'1",\\\ ,

".'1 t,~.1 ,~'h,.n r ,1 .1 l1 ' II.l

OR

- \ =(1 . I~

...... C()On I l Ck .


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Ialav iy a .:\ati nal Insritute fTe hn I ~ Jaipur... E n.: r :- :- ~ D ~~ ;...~ ;:o -:

. ' . : ! -e~ Exam- +, Dated: r 3 11Time: 1 r~D:.Ted

.. . . .~-X-- ....:....-dx: dx ,.=". ., x:-x ~ - d] _-_X---'a " t 10-10=_0

Ques.I) 2:e C :: : . _ : : . . 5 theorem a n d - .0'." '~2.: e a l, ;.- le :; -. ~: - e r .r eg . .a tioz i s ca: rie~ OLl 2.:0i-A.g :lle ,.. .-\8 0:- _

wwnea: .0_5 -[0. the esurfa ~ or;\e non w i

rans err

- - - - . . ! + - : =_ _ _ _ __ t / [ . . __ _ , ! _ ) : . .. _ _ ' - .~ . . - _ . - . _ .- . _ - - . , . . . . . b ~\..__ wi

Te rr.cerat ire :.f \ \. / _o:mp~rar .,arnbien air = T . : . at r = F

- =!1T

~

figure (2). Radial circular fin on heated pipe.

Obtain the radial temperature distribution in the circular fin.12

.. GOOO L CK


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/VIalaviya ational lnsti tutc of Technology .l aip u rherm al LnginccrJng Ikrurt111ent

End I crrn IX U 1 1 l'uu: J \ J 1 \ 1 h I' : (VI E 1)od: 1 1 3 0 8 13:1 eh (Chelll ical Engincc"ing)* uernpt eery question

D H 1 C d : 2 7f () ~/ 11Ti'nc: 2 hrM.'\-!: 50

Qu J) component i ab orbed fr IIIa gas phase by a liquid ontaining a c n tituentl::l with whichit rea t h 111iall) by a pseudo first rd er re ac ti n. The rate of abs rption can be assumed I depend onboth the rate r chemical reaction and the rate rill lecular diffusion through the laminar film f liquidr rhickne s . how that hen the concentration of A at a liqu id depth 8 is zero, the concentrationprofile of A through the film i

, CI, sinl{a( c '-x) ]C I = sinh] a b ' ) , where C A i


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T"'aV\k f JOU fo rsav iV \g trees ar.d.


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Name: _ Student Id _

(2) C}.. .l~1r 1

J .. < ; . t >s-\\>~

Malaviya National Insri rute of Technology JaipurChemical Engineering Department

First Mid Term Examination - February 10,2010VI Semester B.Tech. (Chemical Engineering), Session 2009-10

CH310 Industrial Pollution AbatementTime: I Hour Max. Marks: 20Attempt all questions. All parts of a question must be answered at one place.I. (a) Write the titles of any two U S Federal laws which have been promulgated to control water pollution.

/Also write one selected element of legislation associated with each of the chosen law.

(2+2=4)(b) What are the full form of the acronyms BPT, BAT, BCT and NPDES used in respect of U S legislation

on water pollution? . (2)What do you understand by Cold start Indian Driving Cycle? Answer bri fly point-wise.~C)

2.. (~:; -o estic waste~ater of a town is to be discharged in a river afte treatment. Determine the maximumpermissible BOD of the treated wastewater and the pe cent BOD removal required in the treatmentplant. Maximum permissible BOD of river water is 5 rna/L. Following data are given:(i) Population of town: 40, 000 (iv) Wastewater generation in town: 150 L per capita per

day(ii) Minimum flow rate of the river: 0.15mJ/s (v) BOD contribution per capita: 0.075 kg/day(ii i) BOD of river: 2 mldL(b)

/(C)I (5)

Gas from a thermal pool has an S02 content of 7 ppm at 760 mm Hg and 50C. Calculate the S02concentration in mg/rrr' and mg/N ml. -./ / . (3)Concentrations of CO and NOx (NOx expressed as N02) in a certain gas mixture are I ppm each.Convert these values into ug/N rrr', ./ (4)

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Mathematical Methods for Chem. Engg