# 431_1 - MICHIGAN STATE UNIVERSITY CHE 431 Chemical Reaction...

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MICHIGAN STATE UNIVERSITY CHE 431 Chemical Reaction Engineering Fall 2007 Homework 1 Due Sept. 5, 2007 From Fogler, (4 th edition) 1. What assumptions were made in the derivation of the design equation for: a. The batch reactor? b. The CSTR reactor? c. The PFR reactor? d. The PBR reactor? e. State in words the meanings of –r A , –r A , and r A . Is the reaction rate –r A an extensive property? Explain. 2. Problem 1-15 (c,d), p. 33 3. Problem 2-7 (a – e), p. 74

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P1-15B P.33 (c)Solution: Conditions: 3 10 / dm h ν = , 0 5/ A Fm o l h = , 0 0.01 A A CC = , 2 A A rk C −= 3 3/ ( ) kd m m o l h = ± , 3 0 0.5 / A C mol dm = Procedures: I. CSTR () 3 00 0 2 2 0 0.99 0.99 10 66000 3 0.01 0.5 0.01 AAA A A AA A FFC C C Vd m rr kC νν −− × == = = = × × II. PFR 0 0.01 0.01 0.005 11 3 2 0.5 10 660 3 A A FC C C dF C C d m C k = = = ∫∫ (d)Solution: Conditions: 10 0.001 A A = , 2 A A C 3 ( ) m m o l h = ± , 3 0 0.5 / A C mol dm = , 3 1000 m = Procedures: a. 0 0 0 1 0.001 1000 0.5 0.001 0.5 9.99 0.05 1000 A A A A N C A A C N A dN V tC h rV kV = × = −× b. ( ) 0 0 0.001 ln 0.5 ln 0.0005 ln 19.19 0.36 A A C NC A C dN dC C th k === = = c. 0 0 2 0.001 1 666 3 0.001 0.5 0.5 A A C A C dN dC tt k C h ⎛⎞ = = × = = ⎜⎟ × ⎝⎠ P2-7B P.74 Conditions: Data table, 300 / min A o l = Solutions: (a) CSTR: 3 0 300 0.4 24 5 A A exit FX m r × = PFR: 3 0 0 0.2 4 1 300 1 71.9 31 . 6 7 5 X A A dX VF d m r × + + = (b) CSTR PFR VV = , i.e. 0 0 0 X A A A A exit dX F = ,

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Through obtaining the fitting function
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431_1 - MICHIGAN STATE UNIVERSITY CHE 431 Chemical Reaction...

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