WPRIII - _ \SQLN/e CADET SECTION '_ DEPARTMENT t CH364...

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Unformatted text preview: _ \SQLN/e CADET SECTION '_ DEPARTMENT t CH364 2006—2007 . TEXT: Levenspiel WRITTEN PARTIAL REVIEW 111: G Hour SCOPE: CHAPTERS: 9,10,17,18, 21 Time: 55 Minutes 2 May 2007 References Permitted: Mathematica (new job), Excel (blank workbook), calculator, three 8.5” X l 1” sheets of paper with notes (typed or handwritten on both sides). INSTRUCTIONS 1. Do not mark this exam or open it until “begin wor ” is given. You will have 55 minutes for the examination. 2. Solve the problems in the space provided. Show all work to receive full credit. 3. There are 4 problems on 5 pages in this writ (not including the cover page). Write your name on the top of each sheet. Answer all questions. (TOTAL WEIGHT: 200 POINTS) DO NOT WRITE IN THIS SPACE Cadet PROBLEM WT. I A 70 g (60) Given the reversible reaction Ag) <—> R41)Wlth corresponding XAC vs. T plot : Xa vs. T Plot Ca0=1 moIIL; Time in minutes; (-ra) in moII(L min) o 20 4o 60 T (C) ’] lnuw As well as the following kinetic data: AGiggg : ~1413O AHiggg : —50540@mol CpA : CpR: 850 cal/(kg K) Tmax=100°C *1 draw : Wag/L a. (15) Calculate the volume required for an iso/thelfial run in CSTR for XA = .75, C30 of lmol/L and v0 of 1000 L/min. Flo 0F Ia min mate; jloFQJ 1“ bfi—ffik CP .—. MR : (4)5305 qofiflflxr : “(agile Kai LIM. (0J1. L (8’50 gamed/{C K‘ “4‘ l _, I/ ‘L— :— ‘M’m ) : \lOBOmfl/wolA NM]- 5000 L. Cadet PROBLEM WT. A(cont) 70 b. (15) Calculate the temperature of the inlet stream in our CSTR configt‘lration from part a. . Alla iii ‘ ‘ ‘ h t ‘ \t' . r“ W 7‘ S '6 (H J a All at; a} re 0-le team mg»- A‘T’ X _ C [h XA r ‘1 twi- ; (706 APT “ 9‘0? 3;- Tfiol \Q, l : ‘ 4"" WT ' a rd“. 0 W l5 m”: lam goat c if 2 5%; c. (25) Compare and contrast the volume requirements for an isothermal run in a PFR at MIN 8 364C to an adiabatic rug Wig}ng : .75. The inlet stream is awn]; .3911; part a_ 1 Fe”. m ,. F (HA ’ goneifluti 1%; ug, )(,( FLO-r fray; E min MK .— AD (—— Hfl kiwi/in Yfle Us, T CUW’Q/ JQOTHQ R MAL, 0‘ ' t s W are ( My “LA v Kim I “fine? 0 : vim a 14/ -’ (fling) r MW“ V L. m 0 - WOO/t I J“ t Vs'flom%,,¥t~°imtgtgfi'21) ( may LY W3} ) ‘fr at “ WML 4 V: [mtg zit, ' r t ,b a ‘ yjo b5 ' U“ ’f’ _ £5 '?_d. (15) How would you calculate whether or noi‘iivqe sho’ulfid operate witharecycle stream if N?“ were able to follow the optimal temperature progression curve? Draw the optimal temperature progression on the Km vs. T curve, the inlet temperature to our reactor is 30 0C. 4 C i m- u 6i M as? vii T P m fiVLAM/m 175 flag: is; My gin/aw ’3 i Cadet PROBLEM WT. B 60 A packed bed reactor is fed with 800 m3/hr of pure gaseous A (C A0 2 200 mol/mS). The stoichiometry and rate are given by: A R _r' _ 25CA mol “ A"1+0.JCA kg-hr a. (30) How much catalyst is required fog an 80% conversion in a PFR? V; p "- rm ~ AL FRO " o h (4' RNA Wigwam- £454 J y m “Wm”; 100m\ :5" " b. (30) How much catalyst is required for an 80% conversion in a CSTR? \M XA ,H- x 1, (RT) ‘7 (fl (Wu! £1.71; 84A: ;g fir 1C(zoo)({m%) :92}; 200 4% “WM "—1 : 1V :3) ':" 3+ VILLOOXEHL) S W .93 7:113; 2—00 t%‘ SCEWZYZOO ~ [0H0 L33 (6*!- W» of \ ‘ - ( 1.00 - I 3 Cadet PROBLEM WT. C 70 g. (20) a. What is the Thiele modulus and What three parameters does it take into consideration? Give a brief description of each parameter and discuss how each effects Thiele Modulus. What is the Wagner Modulus? “a” Thei, M if MT? LBJ; I f O HUS Dirccjdkj _ eiifi" ~—> L : Chara: \rm, E8; Le afimfldfl‘: g d 9 1d. “’3 D t ref. 1 7 {4(4a.it‘1'mfr\ f art-L CW s (‘9‘ WWW/k Notifies {g 5,”ij Dorsey-k MK? ea 0 bararvahiest (10) b. What is e fectiveness factor and what does it have to do with Thiele modulus? Cadet PROBLEM WT. C (cont) 70 c. (20) In the absence of pore diffusion resistance to a particular first order gas phase reaction proceeds as reported below: .1—A’”=1-10’6 Incl/cm3 cat - s at CA 2 1-10’5 mol/cni3 at latrn and 400°C 7 What size spherical particle catalyst pellets (De = 1-10'3 would ensure that pore resistance effects do not intrude to slow the rate of reaction? it d. (20) In some exothermic reactions it has been reported that in the regime where pore diffusion effects just begin to intrude the effectiveness factor can be greater than one. Explain how this can be physically possible? Is it always a goodthing? - l Deg/15m El/erukért (NMJ‘Verwfi Pf?) [cl/law \i p ‘17 9-er yc “HI/.2 ig I {3U 3;; (M5 g i L6 ( Milli #0" (mitim {0 f Law/A rm ’ ' . 75 all (3/? Di 2, WM [M l""LxW\ 3 mat it A i» a 0m {a a J i ii! ; é’l‘fl 0L) Mel gléyuf‘vuff) r; 3&6 .- J} Cadet mum wr. Extra Credit 15 (15) Explain how you would calculate the temperature profile in a catalyst pellet of an exothermic reaction. What information would you need to do this? N 0.4er\ MW» Q)de gut a IJflj 39‘) (L L“ 5) wot,» t h2$2,& I ‘D: 5:,qu I; g Twang Chg 2 be m Eta/mtg mm a ll t M; '.€fffb.i1b In [1] .-= << NmneriaalMath‘ListIntegrate‘ 111(2):: isothermal: {{0, 1/1}, {.1, 1/.32}, {.2, l/ .74}, {.3, 1/.6}, {.44, 1/.46}, {.6, 1/.3}, {.75, 1/.15}}; Infll] :: Area = ListIntegrate[isothe:-mal, 2} Outfll]: 1.84984 In [4} :: 1 .7892862077373781‘ << Graphics‘Graphics‘ Out[4]= 1.78929 In [6] .- = ListPlot [isothermal] 0.1 0.2 0.37 0.4 6370.5 0.7- Outfé]: - Graphics - 112(7):: adiabatic: {{0, 1/1}, {.1, 1/.9}. {.2. 1/ .8}. {.3, 1/ .73}, {.44, 1/.6}. {.6, 1/.37}, (.75, 1/ .09}}; InIlO]:: Areaz = ListlntegrateEadiabatic, 2] Outf10]= 1.94221 In[12]:= List?lot[adiabatic} 8 10% E 6:" 43; L ‘r _.L_ 1 r , Out[l2]: - Graphics - may: Integrate[ (1/ (25*2oo* (1—Xa) / (1+ .mzomr (14:51))”, {Xa, o, .8}] Outfl3j= 0.00352189 + O. 11 ...
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WPRIII - _ \SQLN/e CADET SECTION '_ DEPARTMENT t CH364...

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