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State true or false.For a first order reaction, the conversion of the reaction is a function of CA0.(a) For a first order reaction, the conversion of the reaction is a function of CA0.(b) True(c) FalseI have been asked this question by my college professor while I was bunking the class.The doubt is from Conversion and Reactor Sizing in portion Ideal Reactors for a Single Reaction, Conversion and Reactor Sizing of Chemical Reaction Engineering

Answer»

Correct option is (b) True

The EXPLANATION: For a FIRST order reaction, –\(\frac{dC_A}{DT} \) = kCA0

CA = CA0(1 – XA)

DIFFERENTIATING on either sides, dCA = -CA0dXA

-CA0 \(\frac{dXA}{dt} \) = kCA0(1 – XA)

\(\frac{dXA}{(1 – XA)} \) = kdt

-ln(1-XA) = kt

Hence, CONVERSION is not a function of CA0.



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