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There are 5 tanks connected in series. If the average residence time is 5 sec, first order rate constant is 0.5 sec^-1, the initial concentration is 5\(\frac{mol}{m^3},\) then the conversion at the exit of 5^th reactor in (\(\frac{mol}{m^3}\)) is ____(a) 0.34(b) 0.51(c) 0.65(d) 0.81This question was posed to me in quiz.This interesting question is from Tanks in Series Model in portion Compartment Models, Models for Non Ideal Reactors of Chemical Reaction Engineering

Answer»

The correct answer is (C) 0.65

The BEST EXPLANATION: CN = C0 \(\frac{1}{(1+\frac{τk}{N})^N} \)

CN = 5×\(\frac{1}{(1+\frac{5×0.5}{5})^5}\)

CN = 0.65\(\frac{mol}{m^3}. \)



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