A feed to a distillation column consisting of 52 wt% benzene and 48 wt% toluene is separated into two product streams by frractional distillation. The fresh feed stream flow rate is 97 mol/min. The vapor leaving the top of the column, which contains 96 wt% benzene, is completely condensed and split into two equal fractions: one isremoved asthe overhead product stream, and the other (the reflux) is recycled to the top of the column. The overhead product stream contains 89% ofthe benzene fed to the column. The liquid leaving the bottom ofthe column isfed to a partial reboiler in which 46% ofthe liquid is vaporized. The vapor generated in the reboiler (the boil up) is recycled to the column to become the rising vapor stream in the column, and the residual reboiler liquid is removed as the bottom product stream. The relation that governs the composition of the streams leaving the reboiler is YB = 2.25XB Where yB and xB are the mole fractions of benzene in the vapor and liquid streams, respectively. Draw and completely label a flowchart of the separation process. Calculate the molar flowrates of the overhead and bottom products, the mole fraction ofbenzene in the bottom products, and the molar flowarate of boil-up and its corresponding mole fraction of benzene.
A feed to a distillation column consisting of 52 wt% benzene and 48 wt% toluene is separated into two product streams by frractional distillation. The fresh feed stream flow rate is 97 mol/min. The vapor leaving the top of the column, which contains 96 wt% benzene, is completely condensed and split into two equal fractions: one isremoved asthe overhead product stream, and the other (the reflux) is recycled to the top of the column. The overhead product stream contains 89% ofthe benzene fed to the column. The
liquid leaving the bottom ofthe column isfed to a partial reboiler in which 46% ofthe liquid is vaporized. The vapor generated in the reboiler (the boil up) is recycled to the column to become the rising vapor stream in the column, and the residual reboiler liquid is removed as the bottom product stream. The relation that governs the composition of the streams leaving the reboiler is YB = 2.25XB
Where yB and xB are the mole fractions of benzene in the vapor and liquid streams, respectively. Draw and completely label a flowchart of the separation process. Calculate the molar flowrates of the overhead and bottom products, the mole fraction ofbenzene in the bottom products, and the molar flowarate of boil-up and its corresponding mole fraction of benzene.
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