Calculating the fugacity of liquid acetone

Question

Question 1: Calculate the fugacity of liquid acetone at 110 ⁰C and 275 bar. At 110 ⁰C the vapor pressure of acetone is 4.360 bar and the molar volume of saturated liquid acetone is 73 cm3/mole. For the vapor phase holds: PV/(RT) = 1 + BP/(RT), with B= -700 cm³/mole. R = 8.3144 J/(K.mole) = 83.144 bar/(K.mole).

Question 2: For the binary system 2, 4-dimethylpentane (1) + benzene (2) the excess Gibbs energy of the liquid phase is given by:

G^E/(x₁x₂) = (A₁₂x₁ + A₂₁x₂)

a) Calculate the constants A₁₂ and A₂₁ if γ^∞₁ = 1.958 and γ^∞₂ = 1.478

b) Calculate at 60°C the pressure and composition of the vapor phase which is in equilibrium with a liquid phase with composition x₁ = 0.5. At this temperature the saturated vapor pressures of component 1 and 2 are respectively 52.4 and 52.3 kPa. The vapor phase is ideal and the Poynting correction can be ignored.

c) Calculate Henry’s constant of component 2 in pure component 1 and of component 1 in pure component 2.