Advanced Separation Processes

1. A mixture of 50mol%n-butane and 50mol%n-pentane is loaded into a batch distillation reboiler. The column pressure is constant at 500kPa, the initial charge is 100kmol. The column has two theoretical trays plus the reboiler, giving it three theoretical stages. (i) If the reflux rate has been set to 2:1, calculate the amount of distillate recovered to have an average composition of 0.80. (ii) If the average latent heat is 23.22MJ/kmol, what is the total heat input to get the average composition of 0.80 in the distillate? Assume the relative volatility to be a=2.315