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Chapter 13, Problem 13.6P

The elementary irreversible liquid-phase reaction

A + 2 B C

is to be carried out in a semibatch reactor in which B is fed to A. The volume of A in the reactor is 10 dm3, the initial concentration of A in the reactor is 5 mol/dm3, and the initial temperature in the reactor is 27°C. Species B is fed at a temperature of 52°C and a concentration of 4 M. It is desired to obtain at least 80% conversion of A in as short a time as possible, but at the same time the temperature of the reactor must not rise above 130°C. You should try to make approximately 120 mol of C in a 24-hour day, allowing for 30 minutes to empty and fill the reactor between each batch. The coolant flow rate through the reactor is 2000 mol/min. There is a heat exchanger in the reactor.

  1. (a) What volumetric feed rate (dm3/min) do you recommend?
  2. (b) How would your answer or strategy change if the maximum coolant rate dropped to 200 mol/min? To 20 mol/min?

Additional information:

Δ H Rx ° = 55.000 cal/mol A

C P A = 35 cal/mol K, C P B = 20 cal/mol K, C P C = 75 cal/mol K

k = 0.0005 dm 6 mol 2 min at 27 ° C with E = 8000 cal/mol

U A = 2500 cal min K with T a = 17 ° C

CP(coolant) = 18 cal/mol · K

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Chapter 13 Solutions

Elements of Chemical Reaction Engineering (5th Edition) (Prentice Hall International Series in the Physical and Chemical Engineering Sciences)

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