Adistillation column at 1.0 atm with a total condenser and a total reboiler is separating ethanol from water. reflux is returned as a saturated liquid, and boil-up is returned as a saturated vapor. assume cmo is valid and stages are equilibrium stages. 1000.0 kmol/h of a saturated liquid feed that is 32.0 mol% ethanol is fed to the column on the optimum feed stage. distillate is 80.0 mol% ethanol and bottoms is 2.0 mol% ethanol. a liquid side stream is removed on the eighth stage from the top of the column at a flow rate of s = 457.3 kmol/h. this liquid is sent to an intermediate reboiler and vaporized to a saturated vapor, which is returned to the column at its optimum feed location. the external reflux ratio is l0/d = 1.86. find the optimum feed locations of the feed and the vapor from the intermediate reboiler. find the total number of stages required