A liquid mixture of water and methanol is to be distilled in a fractionating column at 101.3 kPa pressure. Consider a total condenser and partial reboiler. The feed of 1000 kmole/h is liquid and it contains 44 mole% methanol and enters at 327.6 K. The boiling point of the saturated liquid feed is 367.6 K. The amount of liquid fed back to the column at the top is 1.3 times the distillate product. The average heat capacity of the feed is 160 kJ/kg mole. K and the average latent heat 32000 kJ/kg moles. The overhead product contains 99% of methanol by moles and the bottoms contains 1% of methanol by moles. Vapor Liquid Equilibrium values for methanol-water can be calculated from the following equation (a) What are the distillate and bottoms flow rates (D and B)? (b) What is Nmin, the minimum number of stages required? (corresponding to R and VB = infinity) (c) What is q? (d) What are the number of stages (N) required? Write the equations for the Rectifying Section and Stripping Section Operating lines. Find the liquid and vapor flowrates in the rectifying and stripping sections. Find the vapor boilup ratio. Solve either graphically or analytically. (e) Where is the optimal feed stage? **Hint - It is useful to find the point of intersection of the q-line, ROL and SOL to identify the x-coordinates at which the stepping of stages switch