The hydrogenation of benzene follows the following reaction equation:

A$1+3$A$2=$ A$3$

And is carried out as a gas$-$phase reaction in a test reactor isothermally and isobarically at

$500$ K and $4$ bar.

The reaction mixture consists only of benzene $($A$1)$ and hydrogen $($A$2).$ The partial pressures in the feed are:

p$10=0\mathrm{.}4$ bar

p$20=3\mathrm{.}6$ bar

What is the volumetric flow rate at the reactor outlet when a benzene conversion of

$70\%$ is achieved and the feed volumetric flow rate is $100$ m$^3/$h$?$