Problem 1: Use the given equilibrium data of methanol (MeOH) and water for solving the simple batch distillation problem with the following description: A single equilibrium stage batch still pot is used to separate MeOH from water. The feed with the total amount of 50 moles of an 80%mol%MeOH is charged into the still pot operated at 1atm. The mole concentration of MeOH left on the pot after the distillation has ended is 65mol%. Calculate the following: (5marks) (1) The amount of residue (L2) on the still pot after the distillation has ended. (Hint: use Rayleigh equation) (2) The total amount of distillate (D) collected. (3) The distillate mole concentration ( YD)