A distillation tower is needed to separate an equimolar mixture at \(77^{\circ} \mathrm{F}\) and \(1 \mathrm{~atm}\) of benzene from styrene. The distillate should contain \(99 \mathrm{~mol} \%\) benzene and \(95 \mathrm{~mol} \%\) of the benzene fed to the tower.

Use a process simulator to determine the minimum number of trays at total reflux \(\left(N_{\min }\right)\), the minimum reflux ratio \(\left(R_{\min }\right)\), and the theoretical number of trays at equilibrium when \(R=1.3 R_{\min }\).