Question: A steady-state distillation column is designed to separate benzene from toluene. The separation is nearly enough complete that, for the purposes of designing the reboiler

A steady-state distillation column is designed to separate benzene from toluene. The separation is nearly enough complete that, for the purposes of designing the reboiler and the condenser, we can model the material in the reboiler as pure toluene and the material in the condenser as pure benzene. 10 mol/s of toluene enters the reboiler as saturated liquid at P=1.1 bar. 80% of the entering toluene is boiled and returned to the column as saturated vapor at P=1.1 bar, the rest is removed as the bottom product. 8 mol/s of benzene enters the condenser as saturated vapor at P=0.9 bar. All of the entering vapor is condensed into saturated liquid at P=0.9 bar. All the liquid benzene is returned to the column. The heat for the reboiler is to be provided by saturated steam, which is available at P=1 bar. Water is used as the coolant in the condenser. The coolant enters at P=1 bar and T=25C, and leaves at P=1 bar and a temperature 66.29C. For toluene: Molar enthalpy of saturated liquid at 1.1 bar=0.541 kJ/mol, Molar enthalpy of saturated vapor at 1.1 bar=33.6 kJ/mol. For benzene: Molar enthalpy of saturated liquid at 0.9 bar=30.483 kJ/mol, Molar enthalpy of saturated vapor at 0.9 bar=-0.559 kJ/mol. A) Determine the rate at which heat is added to the toluene in the reboiler. B) Determine the flow rate of steam entering the reboiler, for each of the three possible inlet pressures. In each case, assume the steam is completely condensed, and leaves the reboiler as saturated liquid, with the same pressure at which it entered. C) Determine the flow rate of water as the coolant.

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