0.3 100 kmol/h of a mixture of water and ethanol containing 0.15 mole fraction ethanol at 1.0 atm is continuously distilled in a plate fractionating column to give a product containing 0.72 mole fraction ethanol and a waste of 0.02 mole fraction ethanol. It is proposed to withdraw 25% of the ethanol in the entering stream in a side stream as a saturated liquid containing 0.50 mole fraction of ethanol. Equilibrium data for ethanol-water system are given below as mole fractions of ethanol in liquid and vapor phases. (a) Calculate the molar flow rates of side stream, distillate and bottoms. (b) Calculate the number of theoretical plates required, the plate from which the side stream should be withdrawn, and the feed tray number if the feed is liquid at its boiling point and a reflux ratio of 2.5 is used. X 0.0000 0.0721 0.1238 0.2377 0.3965 0.5198 | 0.6763 0.7472 0.8943 | 1.0000 y 0.0000 0.3891 0.4704 0.5445 0.6122 0.6599 0.7385 0.7815 0.8943 1.0000