The fermentation of corn produces a mixture of 3.3 mol% ethyl alcohol in water. If 20 mol% of this mixture is distilled at 1atm by a simple, batch distillation, calculate and plot the instantaneous-vapor composition as a function of mole percent of hatch distilled. If reflux with three theoretical stages (including the reboiler) is used, what is the maximum purity of ethyl alcohol that can be produced by batch distillation? Equilibrium data are given in Exercise 7.29.