In a plug flow reactor $($PFR$),$ benzoquinone $($C$6$H$4$O$2=$ A$)$ and cyclo pentadiene $($C$5$H$6=$ B$)$ are reacted isothermally at $25$C with a reaction rate of $(-$rA $=$ k CA CB$).$ The price of the reaction rate constant at $25$C$,$ k $=9\mathrm{.}88$ x $10-3$ m$3/$ kmol seconds. Initial concentration of benzoquinone

$=0\mathrm{.}08$ kmol$/$m$3,$ cyclo pentadiene $=0\mathrm{.}1$ kmol$/$m$3.$ if the volumetric flow rate is $5$ m$3$

$/$second$.$

a$.$ Determine the Volum of the pipe flow reactor to achieve $95\%$ conversion

b$.$ Determine the time required in the batch reactor to achieve

$95\%$ conversion.