A binary system of species 1 and 2 has vapour and liquid phases in equilibrium at temperature \(T\), for which

\[ \begin{aligned} \ln \gamma_{1} & =1.8 x_{2}^{2} \\ \ln \gamma_{2} & =1.8 x_{1}^{2} \\ P_{1}^{\text {Sat }} & =1.24 \text { bar } \\ P_{2}^{\text {Sat }} & =0.89 \text { bar. } \end{aligned} \]

Determine the pressure and composition of the azeotrope at temperature \(T\).