1. (50 pts) An equimolar liquid mixture of benzene and toluene is fed to a distillation column where it is separated into a vapor stream (which contains 97mole% benzene) and a liquid stream. The vapor is completely condensed and split into two streams - one is removed as a product stream and the other is recycled back to the top of the distillation column. This product stream contains 89.2% of the benzene fed to the column. The liquid leaving the column is fed to a reboiler in which 45% of it is vaporized. The vapor from the reboiler is sent back to the column, and the liquid is removed as a product stream. The compositions of the strems leaving the reboiler have the relationship such that mole fraction of the benzene in the boilup is twice that of the mole fraction of benzene in the product stream. The process is shown in the flowchart given with exam information Assume a basis of 100mol/min of benzene in the reboiler product stream. (i) Perform a degree-of-freedom analysis on the overall process, distillation column, condenser, and reboiler (ii) Calculate the molar flow rates (mol/min) of toluene in the condenser product stream and reboiler product stream. (iii) Calculate the molar flow rate of benzene in the condenser product stream. (iv) Calculate the molar flow rates of benzene and toluene into the distillation column