Elements of
Chemical Reaction Engineering
6th Edition



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Essentials of
Chemical Reaction Engineering
Second Edition

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Chapter 6: Isothermal Reactor Design: Molar Flow Rates

Additional Homework Problems

CDP6-VB

 

The irreversible liquid phase acid catalyzed reaction

IMAGE 04eq20.gif


is carried out in a semibatch reactor containing H 2 SO 4 . A is fed at a constant rate of 10 mol/min. The volumetric flow rate of liquid entering the semibatch reactor is 5 dm3 /min. The initial volume of a 3 M solution of H 2 SO 4 catalyst in the reactor is 100 dm3 (no A is present initially). The specific reaction rate is 0.05 min-1 . The reaction is first order in A and zero-order in catalyst concentration.

(a) Use POLYMATH or MATLAB to determine both the number of moles of A in the tank and the concentration of A and of H 2 SO 4 as a function of time.
(b) Obtain an analytical solution for the number of moles of A, NA , and the concentration of A, CA , as a function of time. What is the concentration of A after 30 min? How many moles of A will there be in a tank after long times (i.e., IMAGE 04eq34.gif)? (Ans.: NA = 200 mol) Explain why the number of moles remains virtually constant at long times.
(c) Rework part (a) assuming the reaction is first order in H 2 SO 4 with k = 0.02 dm 3 / molmiddotmin.

(Hint: Do not try to use conversion in solving this problem!)