A perfectly mixed pervaporation unit is separating a benzene-isopropyl alcohol mixture. Wankat (1990) shows the separation factor of benzene with respect to isopropyl alcohol versus the weight fraction of benzene in liquid for pervaporation. If operation is at \(50.0^{\circ} \mathrm{C}=\mathrm{T}_{\mathrm{p}}=\mathrm{T}_{\text {out }}, \mathrm{x}_{\text {in }}=30.0 \mathrm{wt} \%\) benzene and the \(\theta=0.10\), find \(\mathrm{y}_{\mathrm{p}}, \mathrm{x}_{\text {out }}\), and \(\mathrm{T}_{\mathrm{in}}\). Assume heat capacities and latent heats are independent of temperature. Use lines on the selectivity diagram, not data points.