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HW 9 Additional Examples - Fogler Problem 8-5 The...

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Chemical Reaction Engineering - Musgrave Nonisothermal CSTR Examples from Chapter 8 Fogler Problem 8-5: The endothermic liquid-phase elementary rxn: A+B 2C Proceeds to near completion in a steam jacketed CSTR. Use the following data to determine the reactor temperature. Reactor volume: 125 gal Steam jacket area: 10 ft 2 Jacket steam: 150 psig (365.9 F saturation T) Jacket heat transfer coefficient: 150 Btu/h•ft 2 •F Agitator power: 25 hp Heat of reaction: 20,000 Btu/lb•mol of A (independent of T) Component A B C Feed (lb•mol/hr) 10.0 10.0 10.0 Feed Temperature 80 80 _ C Pi (Btu/lb mol•F) 51.0 44.0 47.5 Molecular weight 128 94 111 Density (lb/ft 3 ) 63.0 67.2 65.0 ˙ Q ˙ W F A 0 Θ i i C P i T T i 0 ( ) − Δ H Rx 0 T R ( ) + Δ C P T T R ( ) [ ] F A 0 X = 0 ˙ Q ˙ W F A 0 − Δ H Rx 0 X = Θ i i C P i T T i 0 ( ) Substituting in for F A0 and X~1: ˙ Q = UA T S T ( ) We substitutes the heat exchange eqn into the energy balance: UA T S T ( ) ˙ W − Δ H Rx 0 F A 0 = F A 0 Θ i i C P i T T i 0 ( ) UA T S T ( ) ˙ W − Δ H Rx 0 F A 0 = F A 0 C P A + C P B ( ) T T 0 ( ) T = UAT S ˙ W − Δ H Rx 0 F A 0 + F A 0 C P A + C P B ( ) T 0 F A 0 C P A + C P B ( ) + UA [ ] ˙ W = 25 hp = 63525 Btu / hr T = 199 F

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