The elementary gas$-$phase reaction, $2$AlongrightarrowB is carried in a constant$-$volume batch reactor where $50\%$ conversion is achieved in $1$ hour. Pure A is charged to the reactor at an initial concentration of $0\mathrm{.}2mo\frac{l}{d}{m}^3.$ If the same reaction is carried out in CSTR$,$ what volume would be necessary to achieve $50\%$ conversion for a feed molar flow rate of $500mo\frac{l}{h}r$ and an entering concentration of $A$ of $0\mathrm{.}2mo\frac{l}{d}{m}^3?$