For a binary system, the excess Gibbs free energy of components 1 and 2 at \(30^{\circ} \mathrm{C}\) is given by \(\frac{G^{\mathrm{E}}}{R T}=0.625 x_{1} x_{2}\). The vapour pressures of components 1 and 2 are given by

\[ \ln P_{1}^{\text {Sat }}=13.71-\frac{3800}{T} \quad \text { and } \quad \ln P_{2}^{\text {Sat }}=14.01-\frac{3800}{T} \]

where \(P_{1}^{\text {Sat }}\) and \(P_{2}^{\text {Sat }}\) are in bar and \(T\) is in K. Calculate the composition of the azeotrope.