Design a continuous fractionating distillation column with a partial condenser to separate 3.78 kg/sec of liquid feed at its boiling point comprised of 50 percent benzene and 50 percent toluene into an overhead product containing 98.5 mass percent benzene (light component) and a bottom product containing 98 mass percent toluene (heavy component). Use a reflux ratio that is 1.5 times the minimum reflux ratio. The latent heat of both benzene and toluene is about 357.1 kJ/kg. The molecular weight of benzene is 78.11 g/mol, and toluene is 92.13 g/mol. The vapor liquid equilibrium data (mol. frac.) for a benzene/toluene mixture is given below: x (light component) 0 0.13 0.258 0.411 0.581 .780 | 1.0 y (light component) 0 0.261 0.456 0.632 0.777 0.900 1.0 Estimate the amounts of top and bottom product and the total number of theoretical stages. You are required to develop a McCabe-Thiele plot for the distillation column indicating the q, rectifying, and stripping lines, XD, XF, and XB compositions, the intercept of the upper rectifying line, number of stages and number of ideal stages.