Ethyl alcohol and hexane form an azeotrope containing \(33.2 \mathrm{~mol}\) per cent ethanol at \(58.7^{\circ} \mathrm{C}\) and \(1 \mathrm{~atm}\) pressure. Determine the van Laar parameters at this temperature. Assume the system to follow modified Raoult's law. The vapour pressures by Antoine equation are

\[ \ln P_{1}^{\text {Sat }}=16.6758-\frac{3674.49}{T+226.45} \]

and

\[ \ln P_{2}^{\text {Sat }}=13.8216-\frac{2697.55}{T+224.37} \]

where \(P\) is in \(\mathrm{kPa}\) and \(T\) in \({ }^{\circ} \mathrm{C}\).