The feed to a distillation tower consists of \(14.3 \mathrm{kmol} / \mathrm{hr}\) of methanol, \(105.3 \mathrm{kmol} / \mathrm{hr}\) of toluene, \(136.2 \mathrm{kmol} / \mathrm{hr}\) of ethylbenzene, and \(350.6 \mathrm{kmol} / \mathrm{hr}\) of styrene. The bottoms product is to contain \(0.1 \mathrm{kmol} / \mathrm{hr}\) of ethylbenzene and \(346.2 \mathrm{kmol} / \mathrm{hr}\) of styrene. Determine a suitable operating pressure at the top of the tower noting that the bottoms temperature is limited to \(145^{\circ} \mathrm{C}\) to prevent the polymerization of styrene.