Problem 2. The vapor pressures of acetone(1)/methanol(2)are given by Antoine equations as: \ln P_{1}^{\text {sat }}[k P a]=14.39-2796.8 /\left(T\left[{ }^{\circ} \mathrm{C}\right]+230.02\right) \ln P_{2}^{\operatorname{sat}}[k P a]=16.59-3644.3 /\left(T\left[{ }^{\circ} \mathrm{C}\right]+239.76\right) Suppose the activity coefficients for the system are expressed by: \ln _{2}=B X_{1}^{3} \ln \gamma_{1}=B X_{2}^{3} Calculate P and Y₂ at X₂= 0.75 and T = 100°C (assuming the vapor phase is ideal). where B is constant. This binary vapor-liquid equilibrium system forms an azeotrope (Y₁ = X₁)at 100°C with X₁ = Y₁ = 0.55.