A liquid mixture containing 0.45 mol fraction of heptane and 0.55 mole fraction ethyl benzene is fed as saturated vapor to a distillation column at a flow rate of 200 kgmol/h for product separation. The distillation operates at 1 atm (absolute). The recovery of heptane (to the distillate product) is 95% and the required heptane purity in the distillate is 0.98 (mole fraction). Calculate the following:

a. The distillate and bottom flowrates
b. The minimum reflux ratio
c. The minimum number of stages
d. The number of stages at a reflux ratio of 1.5Rmin