A steady state distillation column is used at P = 1 atm to separate methanol and water. The feed to the distillation column has 40% methanol and 60% water with a flow rate of F = 1000 kmol/hr. The column operates with a total condenser and a partial reboiler. The column is operated such that the methanol composition in the distillate (xD) is 0.95 and methanol composition in the bottom stream (XB) is 0.05. The reflux ratio is 2.5. You can use the equilibrium diagram provided in Figure 3. Using McCabe Thiele method, answer the following: (a) If the feed is a saturated liquid, determine the number of stages and optimal feed location. (b) If the feed is liquid + vapor mix with 40% vapor, construct an appropriate feed line and estimate the number of stages required. Find the optimum feed stage as well. 1.00 y=x y = X 0.90 0.80 0.70 0.60 y[-] 0.50 0.40 0.30 0.20 0.10 0.00 0.00 0.20 0.40 0.60 0.80 1.00 x[-] Figure 3: x - y equilibrium diagram for methanol- water at a pressure of P = 1 atm (for Problem 3) (x and y denote the composition of methanol in liquid and vapor phases respectively)