final99sol - ChE 344 Chemical Reaction Engineering Winter...

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ChE 344 Chemical Reaction Engineering Winter 1999 Final Exam Solution
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1 W’99FinalExam (25 pts) 1) The gas phase irreversible reaction A + B C is elementary. The entering flow rate of A is 10 mol/min and is equal molar in A and B. The entering concentration of A is 0.4 mol/dm 3 . a) What is the CSTR reactor volume necessary to achieve 90% conversion? b) What PFR volume is necessary to achieve 90% conversion? Additional Information k = 2 dm 3 /mol•min T 0 = 500 K Note: You do not need to use POLYMATH, but if you do write your program below in case you do not obtain the correct answer. a) F A0 X = - r A ( 29 V F A0 = 10 x = 0.9 V = ? - r A = kC A C B = 2C A0 2 1 - X ( 29 2 1 - X 2 2 = 2 0.4 ( 29 2 0.1 ( 29 2 0.55 ( 29 2 = 0.01057 V = 10 × 0.9 0.01057 = 851 dm 3 b) F A0 dX = - r A ( 29 dV 0 0.9 dX 1 - X 2 2 1 - X ( 29 2 = kC A0 2 F A0 V 2 - 1 2 1 - 1 2 ln 1 - 0.9 ( 29 + - 1 2 2 0.9 + 1 - 1 2 ( 29 2 0.9 1 - 0.9 = 2 0.4 2 V 10 V = 3.63 10 2 0.4 4 = 113.3 dm 3
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2 W’99FinalExam
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3 W’99FinalExam (15 pts) 2) The irreversible zero order gas phase dimerization 2A A 2 is carried out in a packed bed reactor with 5 kg of catalyst. The entering pressure is 10 atm and the exit pressure is 1 atm. Pure A enters at a flow rate of 10 mol/min. The reaction is zero order in A. P 0 = 10 atm P = 1 atm X = ? F A0 = 10 mol/min a) What is the pressure drop parameter α ? b) What is the exit conversion? Additional Information k = 1.5 mol/kg•min T 0 = 500 K Note: You do not need to use POLYMATH, but if you do write your program below in case you do not obtain the correct answer. A → 1 2 A 2 F A0 dX dW = - r A ( 29 dX 0 x = k F A0 W X = 1.5 10 W = 0.15W dy dw = - d 2 1 + ε X ( 29 y 2y dy 0 x = -α 1 - 1 2 0.15W dW 0 5 y 2 1 0.1 = -α w - 0.15 4 w 2 0 5 - 0.99 = -α 5 - 0.15 25 4 = -α 4.0625 α = 0.2437 kg - 1 X = 0.15 5 = 0.75
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4 W’99FinalExam (10 pts) 3) The species A and B react to form species C, D, and E in a packed bed reactor.
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This note was uploaded on 12/13/2011 for the course CHE 344 taught by Professor Savage during the Fall '08 term at University of Michigan.

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final99sol - ChE 344 Chemical Reaction Engineering Winter...

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