The second order reaction

A to B

is to be carried out isothermally in a PFR$.$ The feed consists of A and inert in equimolar

amounts and fed to the reactor at $175\backslash$deg C and $7\mathrm{.}4$ atm. Calculate the volume of the reactor

that is necessary to achieve a conversion of $85\%,$ if the entering volumetric flow rate is $65$

L$/$min and the rate constant is $1\mathrm{.}2($L$/$mol$)$min$-1$ at the operation temperature.