Solution:
The liquid–phase reaction, $A + B \to C$, follows an elementary rate law with $k = 0.05\ liter / mol / min$ at $300\ K$ and $E = 10\ kcal / mol$ ($R = 1.987\ cal / mol / K$). The concentrations of the $A$ and $B$ feed streams are $4\ M$ with volumetric flow rate of $5\ liter / min$ each. These two feed streams are mixed thoroughly before entering reactor. To achieve $90 \%$ of conversion, please estimate the volume of reactor for
\begin{parts}
\part [5] an ideal plug flow reactor operated isothermally at $300\ K$;
\part [5] an ideal continuous–stirred tank reactor operated isothermally at $300\ K$;
\part [5] an ideal continuous–stirred tank reactor operated isothermally at $350\ K$.
\part [5] Please compare answers in (a) $\sim$ (c) and comment the effects of mixing condition in reactor and temperature on reaction rate.
\end{parts}
