Need help with (e) to (h). Show all the steps and work

Problem 1: A container is filled with 1 mole of propane (component 1) and 1 mole of normal butane (component 2). The pressure and temperature inside the container are p=50psia,T=68F, respectively. The binary mixture exists in both liquid and vapor forms, in equilibrium. The amount of propane in the liquid is n1L=0.0391 moles, butane n2L=0.1409 moles. The amount of propane in the vapor is n1V=0.9609, butane n2V=0.8591 moles. a) Calculate the liquid composition x1,x2. (2 points) b) Calculate the vapor composition y1,y2. (2 points) c) Calculate the equilibrium ratios (K1,K2) of propane and butane. Identify MVC and LVC based on K1,K2 (3 points) d) Write the definition of and calculate the value of the relative volatility ( 3 points) If the same mixture is put in a reboiler as feed for a batch distillation operation, under the same temperature and pressure, e) Calculate and plot the liquid-vapor-equilibrium curve, y=x/(1+(1)x), where xx1, yy1(5 points) f) If the reflux ratio is R=2,xD=0.80,xB=0.15, use McCabe-Thiele chart to estimate number of stages required in the distillation column. (10 points) g) Repeat the estimation of stages with Penske Equation ( 5 points) h) If butane is replaced with pentane, for a mixture of propane and pentane, will the relative volatility increase or decrease? Will the distillation stages N increase or decrease