Question

If \(\frac{τ}{t}\) = 0.5, average conversion for a particle B of constant size in a mixed flow reactor for film resistance controlling is ____

(a) 0.45

(b) 0.38

(c) 0.536

(d) 0.743

This question was posed to me during an online exam.

This question is from Design of Fluid Particle Reactors in section Fluid-Particle Reactions: Kinetics of Chemical Reaction Engineering

Answer 1

The correct choice is (c) 0.536

For explanation: 1-\(\overline{X_{(B)}}\) = 0.5(\(\frac{τ}{\overline{t}}) – \frac{1}{3!}(\frac{τ}{\overline{t}})^2+\frac{1}{4!} (\frac{τ}{\overline{t}})\)^3-…, as obtained by expansion.

1-\(\overline{X_{(B)}}\) = 0.4635 and \(\overline{X_{(B)}}\) = 0.536