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A liquid mixture containing 30.0 mole% benzene (B), 25.0% toluene (T), and the balance xylene (X) is fed to a distillation column. The bottoms product

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A liquid mixture containing 30.0 mole% benzene (B), 25.0% toluene (T), and the balance xylene (X) is fed to a distillation column. The bottoms product contains 98.0 mole%X and no B, and 90.0% of the X in the feed is recovered in this stream. The overhead product is fed to a second column. The overhead product from the second column contains 95.5% of the B in the feed to this column. The composition of this stream is 94.0 mole% B and the balance T. Still 1 Write three balances and use one constraint for the performance of Still 1 to solve for the following quantities for a process feed ( ni) of 300.0 mol/h. First Still Bottoms flow rate (n2) = i mol/h Overhead fow rate (n3) = i mol/h Benzene mole fraction in overhead (X3B) = i Toluene mole fraction in overhead (X3T) = i Still 2 Write three balances and use one constraint for the performance of Still 2 to solve for the following quantities for a process feed ni ) of 200.0 mol/h. Second Still Overhead from second still ng ) = i mol/h Bottoms from second still na ) - i mol/h Benzene mole fraction in bottoms from second still X4B Toluene mole fraction in bottoms from second still ) = i Recovery i i % Calculate the percentage of B in the process feed that is recovered in the overhead of the second distialltion column. Calculate the percentatge of T in the process feed that is recovered in the bottoms of the second distillation column. i %

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