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Problem 4.10: (25 marks) A process consists of two distillation columns. The composition of the feed to the first tower is 30 mol% benzene (B), 30 mol% toluene (T), and the balance xylene (X). The overhead stream from the first tower contains no xylene (X). The benzene content of the overhead stream from the first tower is 55 mol%. The bottom of the first tower is fed to the second tower. The bottoms stream from the second tower has a flow rate of 100 mol/hr contains 15 mol% toluene and no benzene. While the overhead stream from the second tower contains 50 mol% benzene, there are also other components, T or X or both, in this Page 1 of 2 stream. The flow rate of the overhead stream from the first tower is twice the flow rate of the overhead stream from the second tower. Determine the molar flow rates of the fresh feed stream and the overhead stream leaving the first column