A continuous distillation column is to be used for separating 20000kg/h of a benzene-toluene mixture of 60 weight-percent of benzene. The mixture is to be separated into a liquid distillate and a liquid bottom product. The overhead product contains 97mol percent benzene and bottom product contains 98mol-percent of toluene. A reflux ratio of 3mol to 1mol of product is to be used (The molecular weight of benzene and toluene are 78g/mol and 92g/mol, respectively). a) Calculate the molar flow rates of distillate and bottom products. b) Using McCabe Thiele method, number of ideal plates and location of the feed plate if the feed had preheated to the its bubble point entering the distillation column using benzenetoluene equilibrium data. Equilibrium data x: mole fraction of benzene in liquid and y: mole fraction of benzene in vapor