Consider a mixture consisting of $50\%$ mol n$-$pentane $(1)$ and $50\%$ mol n$-$heptane $(3).$ The mixture is partially vaporized by heating at constant pressure of $1\mathrm{.}013$ bar $(1$atm$).$

Saturation pressures of components:

$Ln(P_1)=10\mathrm{.}422-\frac{26799}{RT},Ln(P_3)=11\mathrm{.}431-\frac{35200}{RT}$

Find the equilibrium vapor liquid composition and the equilibrium temperature as function of the fraction that is vaporized.