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Metallurgical Principles and Practice of Engineering (PE) Study Guide: Question #4

It Is the Policy of The Minerals, Metals & Materials Society (TMS) to Encourage the Professional Registration of Metallurgical Engineers.

A first order, homogeneous liquid phase reaction has a rate constant of 0.2 min-1. A continuous reactor has been built to treat 10 L/min of the reactant (initial concentration of 1 mole/L). The reactor has a volume of 100 L. The reactor was supposed to be perfectly mixed, but you are not sure that it is. A tracer test gave the following data:

Time (min)
0
5
10
15
20
25
30
Conc. (arb)
0
10
4
3
2
1
0

The mean residence time (min) based upon the tracer test is most nearly:

(A)
10
(B)
12.5
(C)
15
(D)
25


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