Problem \# 1: (Wankat, 2017) Lewis Method compared to McCabe-Thiele Method A distillation column is separating phenol from p-cresol at 1.0atm pressure. Distillate composition is 96.0-mol\% phenol. An external reflux ratio of LD=4 is used, and the reflux is returned to the column as a saturated liquid. The equilibrium data can be represented by a constant relative volatility, aphenol-cresol = 1.76 (Perry et al., 1963, pp. 13-3). CMO can be assumed. The feed is on stage 8. a) What is the vapor mole fraction of phenol leaving the third equilibrium stage below the total condenser? Solve this problem using an analytical stage-by-stage calculation alternating between the operating equation and the equilibrium equation (Lewis method). b) What is the liquid mole fraction of phenol leaving the sixth equilibrium stage below the total condenser? Solve this problem graphically using a McCabe-Thiele diagram plotted for aphenol-cresol =1.76. c) Using your McCabe-Thiele diagram, what is the vapor mole fraction of phenol leaving the third equilibrium stage below the total condenser? Compare your value to the Lewis method in part (a). Which method do you prefer? Why