Enthalpy Balance around a Column Section A feed of 10.0wt% methanol and 90.0wt% water enters a distillation column at 50.0C. The feed rate is 544mol/min. The column operates with a reflux ratio of 1.46, and a distillate rate of 59.0mol/min is maintained. The latent heat of vaporization for methanol at boiling point is 8.43 kcal/mol, whereas the latent heat of vaporization for water at boiling point is 9.72kcal/mol. (a) Provide a calculation that checks the assumption of constant molal overflow. (b) Calculate the condenser duty (in cal/min) for a column necessary to produce 96wt% methanol distillate product and 4.0wt% methanol bottoms product