Please show all steps and process

2. A 500lbmol mixture of 48.8mol%A and 51.2mol%B with a relative volatility of A,B of 2.0 is to be separated in a batch still with a rectifier consisting of a total condenser, a column with seven theoretical stages, and an equilibrium boiler. The reflux ratio is to be varied so as to maintain the distillation composition constant at 95mol% A. The column operates with a boilup rate of 213.5lbmol/h. The distillation is to be stopped when the mole fraction of A in the still drops to 0.192 . Determine: (a) the time required for the distillation, and (b) the total amount of distillate produced