Repeat Example 3.1, but for a liquid concentration of $0.5 mathrm{~mol}$ fraction of benzene and a temperature

Question:

Repeat Example 3.1, but for a liquid concentration of $0.5 \mathrm{~mol}$ fraction of benzene and a temperature of $310 \mathrm{~K}$.

Data From Example 3.1:-

Raoult’s law may be used to determine phase compositions for the binary system of benzene and toluene, at low temperatures and pressures. Determine the composition of the vapor in equilibrium with a liquid containing 0.4 mol fraction of benzene at 300 K and calculate the total equilibrium pressure. Estimate the vapor pressure of benzene and toluene at 300 K from the Antoine equation,

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where Pi is the vapor pressure of component i, in mm Hg, and T is the temperature in K. The Antoine constants for benzene and toluene are given in the following table (Himmelblau, 1989):

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