Repeat Problem 8.63 using the Peng–Robinson equation of state. Use a value for the binary interaction parameter of 0.077.

Problem 8.63

Using the equation of state method, determine the equilibrium composition in the vapor phase and the system pressure of a mixture of carbon dioxide (1) and benzene (2) with a liquid mole fraction of x₁ = 0.3 at 100°C. Use the van der Waals equation of state to determine fugacity for both vapor and liquid phases. To converge on the liquid mole fraction, it is helpful to start with an initial guess for pressure that is less than Raoult’s law (e.g., 106 Pa). Iterate until |∑yi - 1| < 0.001.