The pure component vapour pressure of two organic liquids \(\mathrm{X}\) and \(\mathrm{Y}\) by Antoine equations are given by

\[ \ln P_{1}^{\text {Sat }}=14.35-\frac{2942}{T+220} \]

and

\[ P_{2}^{\text {Sat }}=14.25-\frac{2960}{T+210} \]

where \(P_{1}^{\text {Sat }}\) and \(P_{2}^{\text {Sat }}\) are in \(\mathrm{kPa}\) and \(T\) in \({ }^{\circ} \mathrm{C}\).

Calculate the composition of liquid and vapour in equilibrium at \(77^{\circ} \mathrm{C}\) and \(75 \mathrm{kPa}\).