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# The reaction A B takes place in two reactors in series. The reactors are well mixed but ISBN: 9780073401102 336

## Solution for problem 22.18 Chapter 22

Applied Numerical Methods W/MATLAB: for Engineers & Scientists | 3rd Edition

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Problem 22.18

The reaction A B takes place in two reactors in series. The reactors are well mixed but are not at steady state. The unsteady-state mass balance for each stirred tank reactor is shown below: dCA1 dt = 1 (CA0 CA1) kCA1 dCB1 dt = 1 CB1 + kCA1 dCA2 dt = 1 (CA1 CA2) kCA2 dCB2 dt = 1 (CB1 CB2) kCB2 where CA0 = concentration of A at the inlet of the first reactor, CA1 = concentration of A at the outlet of the first reactor (and inlet of the second), CA2 = concentration of A at the outlet of the second reactor, CB1 = concentration of B at the outlet of the first reactor (and inlet of the second), CB2 = concentration of B in the second reactor, = residence time for each reactor, and k = the rate constant for reaction of A to produce B. If CA0 is equal to 20, find the concentrations of A and B in both reactors during their first 10 minutes of operation. Use k = 0.12/min and = 5 min and assume that the initial conditions of all the dependent variables are zero.

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##### ISBN: 9780073401102

This textbook survival guide was created for the textbook: Applied Numerical Methods W/MATLAB: for Engineers & Scientists , edition: 3. Applied Numerical Methods W/MATLAB: for Engineers & Scientists was written by and is associated to the ISBN: 9780073401102. The answer to “The reaction A B takes place in two reactors in series. The reactors are well mixed but are not at steady state. The unsteady-state mass balance for each stirred tank reactor is shown below: dCA1 dt = 1 (CA0 CA1) kCA1 dCB1 dt = 1 CB1 + kCA1 dCA2 dt = 1 (CA1 CA2) kCA2 dCB2 dt = 1 (CB1 CB2) kCB2 where CA0 = concentration of A at the inlet of the first reactor, CA1 = concentration of A at the outlet of the first reactor (and inlet of the second), CA2 = concentration of A at the outlet of the second reactor, CB1 = concentration of B at the outlet of the first reactor (and inlet of the second), CB2 = concentration of B in the second reactor, = residence time for each reactor, and k = the rate constant for reaction of A to produce B. If CA0 is equal to 20, find the concentrations of A and B in both reactors during their first 10 minutes of operation. Use k = 0.12/min and = 5 min and assume that the initial conditions of all the dependent variables are zero.” is broken down into a number of easy to follow steps, and 193 words. This full solution covers the following key subjects: . This expansive textbook survival guide covers 24 chapters, and 496 solutions. Since the solution to 22.18 from 22 chapter was answered, more than 219 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 22.18 from chapter: 22 was answered by , our top Engineering and Tech solution expert on 03/05/18, 09:01PM.

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