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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) 0.743This 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»

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



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