431_6_ - MICHIGAN STATE UNIVERSITY CI-IE 431 Chemical...

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Unformatted text preview: MICHIGAN STATE UNIVERSITY CI-IE 431 Chemical Reaction Engineering Fall 2007 Homework 6 Due Oct. 10, 2007 1) The following liquid~phase reactions were carried out in a CSTR at 325 K: 3A a B + 0 ~ rm = moi km: 0.7 min“I 20 + A 9 3D on = km ColoA km a 03 am6 / (moIZ-min) 4D + 3c 9 3E r35 = monoC 1:35: 0.2 dm3 / (moi-min) The concentrations measured inside the reactor were CA = 0.10, C3 = 0.93, Cc = 0.51, and CD = 0.049 all in mol/dm3. a) What are the net rates of formation of A, B, C, D, and E (write down the expression for the rates of formation)? b) The entering volumetric flow rate is 100 drn3/rnin and the entering concentration of A is 3M. What is the CSTR reactor volume? 2) You are designing a plug—flow reactor for the following gas—phase reaction: A -> B m = loci} lo a 15 a3/(1bmo1—seo) Unfortunately, there is also a side reaction: A -> c rc=kgCA k2=0.015 sec'] C is a pollutant and costs money to dispose of; B is the desired product. (a) What size of reactor will provide an effluent stream at the maximum dollar value? B has a value of $60/1bmol; it cost $15/lbmol to dispose of C. A has a value of $10/1brnol. (b) Suppose that E] = 10,000 Btu/lbrnol and E3 = 20,000 Btu/lbrnol. What temperature (400 to 700 F) would you recommend for a 400—113 CSTR? Additional information: Feed: 22.5 SCF/s ofpure A Reaction conditions: 460 F, 3 atm pressure Volumetric flow rate: 15 ft3/sec at reaction conditions Concentration of A in feed: 4.47 x 10'3 lbmol/ft3 Additional iiy’brmafion: k. = 0.01 min" k2 = 0.02 min‘1 k3 = 0.07 min" 10 = 0.50 dm3/gmol—min reactor volume = 120 L Pfi-Ilcont'd d) = ,1: = 1:001, 1'10 0 In Dims-s o I = .3 .5 -. = . m” 0: (M 0m 009730112“ __ 41:32 __ —4(.2)(.049)[.51)__ r001 1'33 3 —-—-—-3—-————-— ~-0.005'7' (1013 .5 = :t: _. ma! 'IE 0 1A odmflns ma! =0*., -0 15-15 r-D (117130.? ma! '3; = (.2)(.049)[.51) = 0.005 dma _ S 0101 IA = 4.07 - 0.0026 =7 4-0726m r3 = 0020-313":—S rc = 0.023 — 0.0052 — 0.005 = 0.0123 In”! 3 0.001;? 1 dm as 1-,, =0.0078-- 0, 3': 0.0011 “‘0 2. .. a n __ 3 ‘ r: #- /-‘ ' A ~—> I3 E — 14,94 {12/3 at /_.ICC‘5’Vw4"5 Omani) ,4 —>C Q- : A; ($31 +1112 :0. 0/5 5" (“‘{Q'Qu‘fl an) FM! - 22 5 SUI/s 3i {mm A 4013“ ‘F )3 adv: {5. JV éo/LémJ (Thaw ) 6 ~ I: :5 [La—wk (gm/am) A , ‘F/U/«(C'WIM (amt) Luigi 953k Lute-W) .. (mm! 4? fm 5725wa 55w»: mi,- 3km» AF A 3 ur" * 1‘ av Q C 7-} “1'76 1E- olV 71V :FC C. Ab“ film-<1 [‘- 11 r. I :1 6': \JLA L#”t&gfii rtq:—{g_(; b’iLDlC’ZLb‘ELriu/ifinj r I _ I: Fab?” CA - Cm (EL) CC: C” (7:?) F T ‘ C _ . T firgcjg-f/ga.‘ BFC-rog) fl=a+g+r ,. FT C CT“ : 74c: Dollar value vs. V: Data table: V Dollar value 872.75188 1.5218411 881.55188 1.5219041 907.95188 1.5219533 916.75188 1.5219263 872.75188 1.5218411 19) giuofm (aw/aw E : Qurooo (“m/19mg 91 ( ”3’ 4 Lifiifiuf T ((406—37’6‘13F) LW W .%W%¢4 Q gigging: (SIR?! If. ' I‘) '1’ ”b? WU‘LXH’IW 3‘ _' 554m mafia flew g, 57$}oiiameiifi {V 7; 019%“; zvf'fl'l‘kj’ SIB/C — rat/Jr; qf m /awnr+ 76591)?) Ca = ll80000/exp(500/23*(T—460)/T)*(—100-40*exp(500/23*(T- 460)rr)A2+20*c25+20*exp(500/23*(IL460)II)A2+4*eXp(500/23*(1: 460yijn4+178300*exp(500123*(12460y19yw1/2n Ca vs. T: 650.00 580.00 610.00 340.00 570.00 7110.00 T 400.0!) 400.00 40000 400.00 620.00 17 r /____..— 9"" _,_. A'q ( ___&0lm}wfj’ojoau) ) (2 S " H “r F—T 9/6 A2, :1. £1 1/qu {LBJ—fin) CF? '- ru/h 5d: (owcs‘t‘ A i551 {57’ gussibla +1410 __ U‘J- Mfixflnum lyosfiéfia. RIM/6r meanwhha 0f C r71 #4,. [WGAVF : FW+LL (Eac’hw Marti, (Mr), [fins—EX.— 41404‘ A F! ’3 We, all Emuwiepf {'0~ C r M th/x 7‘01‘11/ 1/0 Mme. yznfiayetfl 517, 7T 1442. WEN-h‘r‘l—EO’f ranch)” F5 flag; ”Effigy/l... (yr-.49., {and ma 7}; firm/f Jermafl , "IL/Lg mama» faméfia. CC 75 (40+ 4:0 1' (35 WJ(/Z_. (L). 1/0: loci/NVMJM [/21 00 6/117} :2) 7;“: "K : {a ”UK. - For +1.9. 65771: T I.” For /‘I B C; /-—' , we. Cm Afirfl 749w?" észafihm 40 Sta/we, 7G" TCU'WY' filfi/Eflm; (A, [13, CL, 6/5- (4). /f +42. fwinng/Tfi "2L-DO/m3mr71r (gr—41 74L. mfxfi'rfile a gmjwl—Dj‘ A M F m +15, mm of /.- /, (40: afiwc/‘fig For” 05 7/1 ’ 1746+fl/i'fi’1nfim /,lg. {9/ F) Luv/7‘0 74—2— ovmuM ABM/.- T/Z : )4. Rim P A 5:4 + /(5 65 (g )1 : Haw-27c) .T m Head we: v 3 +31) #6 fin, 4.. 05% my“. gum .. * ‘3' f b— ‘ “(fir RX . ' A V: gm X4. _ M 4;, “" (AMI) 2:1? (HM) xm-z :> 12/0 5-7- 0.03-{/—)¢,) Z) X41 0.143.; Q:¢L,(r)<x+) Fay @F: C; VD 5.3459 3 W93 ”73/9/11? V:—@—' __ [mfizVo IE1} . ‘ /“{4.:("/T‘f ::> .‘._ ALE ; ~ {1— x- W H) :> xF-Lm: #1 6% H :1 gW F072;) 5,4 ; am, 6; ; a/ LG}. wow/93+ saw/’1— 2o] [,3 59'- C: = wifw—w; 53/7/79‘552L :> [L7 1: ::> 43.: 0.07/ ”15%;; . gal/9 lLC f OY' : ————'~—‘ :1 . :> Q:”|/%,Q-+/’3£fl) V Vb /(aél+%358 2 { : ’i‘d" {flD/-Rl‘f'3+ flL‘ if?!) / a + ,4 (/3 ’— wr/z? mew/n3 / 4 3 ' 0:ij /'[ A'f/fléf/ 5; as].,zw3+ (20%?er :1 WT? :— 6’4?ch 0,03.P.r‘f}+a} - 0.] {/IDLL 751299445107 C IR /]}Dr-/I»WE’ (/0 177114») ...
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