Calculate the composition of liquid and vapour in equilibrium at \(327 \mathrm{~K}\) and \(65 \mathrm{KPa}\). The azeotrope of the ethanol-benzene system has a composition of \(44.8 \mathrm{~mol}\) per cent ethanol with a boiling point of \(68.24^{\circ} \mathrm{C}\) at \(760 \mathrm{~mm} \mathrm{Hg}\). At \(68.24^{\circ} \mathrm{C}\), the vapour pressure of pure benzene is \(517 \mathrm{~mm} \mathrm{Hg}\). Calculate the van Laar constants for the system, and evaluate the activity coefficients for a solution containing \(10 \mathrm{~mol}\) per cent ethanol.