The excess Gibbs energy for the system acetone(1)/methanol(2) is given by: \frac{G^{E}}{R T}=B X_{1} X_{2} where B is temperature-dependent parameter: dB/dT= -0.014 The saturated vapor pressures for acetone and methanol can be calculated by the following Antoine equations: \ln P_{1}^{\operatorname{sat}}[\mathrm{kPa}]=14.39-2796.8 /\left(\mathrm{T}\left[{ }^{\circ} \mathrm{C}\right]+230.02\right) \text { In Psat } \left.\left.[\mathrm{LPa}]=16.59-3644.3 /(T]{ }^{\circ} \mathrm{C}\right]+239.76\right) At 50°C it is known that P=80.7kPa and X₁0.5. Calculate Y₁ and P for T = 47°C and X₁=0.95.