Consider a distillation column that separates benzene and toluene. 100 moles of an equimolar mixture is fed to the column. The overhead product from the column is fed to a total condenser where half of the liquid returns to the column as reflux and the rest is removed as product. The bottom stream, which is 85 moles and 75 mol% benzene is fed to a partial reboiler. The liquid stream from the reboiler is taken off as the product and the vapor is sent back to the column. The enthalpies are functions of temperature as follows:
benzene liquid: H = 126.5T
benzene vapor: H = 74.06T
toluene liquid: H = 148.8T
toluene vapor: H = 94.18 T
where T is in degrees Celsius and H is in J/mole.
The liquid feed is at 66o C, the overhead from the column is at 70o C, the condenser runs at 65o C and the reboiler at 90o C. In addition, the system is at 1 atm pressure.
Calculate the heat requirement for the entire process, the condenser and the reboiler (in kJ).