A liquid stream containing $50\mathrm{.}0$ mole$\%$ benzene and the balance toluene at $25$C is fed to a con$-$ tinuous single$-$stage evaporator at a rate of $1320$ mol$/$s$.$ The liquid and vapor streams leaving the evaporator are both at $95\mathrm{.}0$C$.$ The liquid contains $42\mathrm{.}5$ mole$\%$ benzene and the vapor contains $73\mathrm{.}5$ mole$\%$ benzene.$($a$)$ Calculate the heating requirement for this process in kW$.($b$)$ Using Raoults law $($Section $6\mathrm{.}4$b$)$ to describe the equilibrium between the vapor and liquidoutlet streams, determine whether or not the given benzene analyses are consistent with each other. If they are, calculate the pressure $($torr$)$ at which the evaporator must be operating; if they are not, give several possible explanations for the inconsistency.