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A distillation column with a total condenser and a partial reboiler is separating ethanol and water at 1 kg/cm2 pressure. Feed is 32.0 mol% ethanol and is at 30°C. Feed flow rate is 100.0 kmol/h. The distillate product is a saturated liquid, and distillate is 80.0 mol% ethanol. The condenser removes 2,065,113 kcal/h. The bottoms is 4.0 mol% ethanol. Assume that CMO is valid. Find the number of stages and the optimum feed stage location. Data: CPL,EtOH = 24.65 cal/(mol°C) at 0°C. The enthalpy-composition diagram is given in Figure 2-4, and the y-x diagram is in Figure 2-2.