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For a first order reaction, if the rate constant is 1 min^-1 and the reaction time is 2 min, then the ratio of final to initial concentration is ____(a) 0.167(b) 0.135(c) 0.198(d) 0.764The question was asked in an online quiz.The origin of the question is Conversion and Reactor Sizing in portion Ideal Reactors for a Single Reaction, Conversion and Reactor Sizing of Chemical Reaction Engineering

Answer» RIGHT CHOICE is (b) 0.135

Best explanation: –\(\frac{dC_A}{DT}\) = kCA

Integrating between initial and FINAL concentrations,

CA = CA0e^-kt

\(\frac{C_A}{C_{A0}} \) = e^-2

\(\frac{C_A}{C_{A0}} \) = 0.135.


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