At 50 C, 1.2 bar, the system n-pentane (1), n-hexane (2), and n-heptane (3) exists in vapor-liquid equilibrium. The mole fractions in the two phases are: x1 = 0.6, x2 = 0.2, x3 = 0.2 in the liquid; and y1 = 0.87, y2 = 0.1, y3 = 0.03 in the vapor.

a) Calculate the fugacity and the fugacity coefficient of each component in the vapor and in the liquid.

b) Calculate the chemical potential of n-heptane in the liquid. The reference state is the ideal-gas state at 200 K, 35 bar.

At 50 C, 1.2 bar, the system n-pentane (1), n-hexane (2), and n-heptane (3) exists in vapor-liquid equilibrium. The mole fractions in the two phases are: x1 = 0.6, x2 = 0.2, x3 = 0.2 in the liquid; and y1 = 0.87, y2 = 0.1, y3 = 0.03 in the vapor. a) Calculate the fugacity and the fugacity coefficient of each component in the vapor and in the liquid. b) Calculate the chemical potential of n-heptane in the liquid. The reference state is the ideal-gas state at 200 K, 35 bar.