$5\mathrm{.}49.$ Monochlorobenzene $(M)$ is produced commercially by the direct catalytic chlorination of benzene $($B$)$ at $40C$ and $120$ kPa absolute$.$ In the process, dichlorobenzene $($D$)$ is generated as a co$-$product:

$C_6{H}_6+C{l}_2{C}_6{H}_{5}Cl+HCl$

$C_6{H}_{5}Cl+C{l}_2{C}_6{H}_{4}C{l}_2+HCl$

Liquid and gas streams leave the reactor. The liquid contains $49\mathrm{.}2wt\%M,29\mathrm{.}6\%D,$ and the remainder unreacted B$.$ The gas, which is sent to a treatment facility, contains $92\%(\frac{v}{v})HCl$ and $8\%$ unreacted chlorine. Assume ideal$-$gas behavior.

$($a$)$ What volume of gas leaves the reactor fed

HHooww mmaannyy mmoolleess ooff ccll aarree ffeeeedd

CC$))$ ffrraaccttiioonnaall ccoonnvveerrssiioonn bbeennzzeezzee