Question $2.(40$ pts$)$ The elementary liquid phase reaction $C_6{H}_6+HN{O}_3,C_6{H}_{6}N{O}_2+H_{2}O$ is carried out adiabatically in a CSTR for which the shaft work can be neglected. An equimolar mixture of $C_6{H}_6$ and $HN{O}_3$ enters the reactor at $300K$ with a volumetric flowrate of $0\mathrm{.}002\frac{m^3}{s}$ with a $C_6{H}_6$ concentration of $0\mathrm{.}0001mo\frac{l}{m^3}.$ The heat capacities of the $C_6{H}_6,HN{O}_3,C_6{H}_{6}N{O}_2$ and $H_{2}O$ at $300K$ are $0\mathrm{.}015,0\mathrm{.}015,0\mathrm{.}02$ and $0\mathrm{.}01$kca$\frac{l}{m}$ole.$K,$ respectively. The enthalpy of formation values for $C_6{H}_6,HN{O}_3,C_6{H}_{6}N{O}_2$ and $H_{2}O$ at $300K$ are $-20000,-15000,-30000$ and $-11000ca\frac{l}{m}$ole, respectively. The activation energy and rate constant of the reaction at $300K$ are $10$kca$\frac{l}{m}$ole and $0\mathrm{.}00001\frac{m^3}{m}$ole, respectively. Determine the volume of CSTR to achieve $85\%$ conversion of $C_6{H}_6.$