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For a reactor system composed of $n$ ideal and isothermal CSTRs with the same space time of $\uptau_i$ connected in series ($n$ is positive integer).
\begin{parts}
\part [8] Please derive the expression for the conversion ($x_A$) of a first–order and liquid phase reaction, $A \to B$, carried out in this reactor system. Pure $A$ is fed, and the rate constant is $k$.
\part [6] Use the Levenspiel plot to illustrate that an ideal PFR could be described using this reactor system with $n$ approaches to infinity.
\end{parts}