Problem 1. A 7-plate column is used to separate a mixture of benzene (50 mol%) and toluene (50 mol%). The column is operated at 101 kPa with a total condenser and a partial reboiler to produce a 96 mol% distillate. Given this information and the VLE data below, answer the following questions: (a) The feed enters the 5th plate from the top as a saturated liquid. Calculate the following: i. Minimum reflux ratio, Rmin ii. Bottoms composition using a reflux ratio twice the minimum iii. Product yield (i.e. moles of product per 100 moles of feed) (b) Repeat (a) for a saturated vapor feed entering the 5th plate from the top. (c) The feed enters the reboiler as a saturated vapor. Calculate the following using L/V = 0.9: i. Bottoms composition ii. Product yield (i.e. moles of product per 100 moles of feed) VLE data for the binary mixture at 101 kPa (mole fractions of light key component): 0.21 0.10 0.37 0.20 0.51 0.30 0.64 0.40 0.72 0.50 0.79 0.60 0.86 0.70 0.91 0.80 0.96 0.90 0.98 0.95