This problem deals with two-phase mixtures of benzene and toluene at equilibrium. The vapor phase may be assumed ideal and Raoult’s law can be used for all system compositions. Use APEx and Solver (and not Figure 6.4-1) for the requested calculations. 

(a) Use the Gibbs phase rule to show that there are two degrees of freedom for the system. 

(b) For T = 25°C and P = 50 mm Hg, estimate the liquid and vapor compositions. 

(c) For T = 25°C and x_B = 0.500, estimate the pressure and vapor composition. 

(d) For P = 100 mm Hg and x_B = 0.500, estimate the temperature and vapor composition. 

(e) For P = 100 mm Hg and y_B = 0.500, estimate the temperature and liquid composition. 

(f) For x_B = 0:55 and y_B = 0.8, estimate the temperature and pressure.