An equimolar saturated liquid feed of ethyl benzene and o-xylene, flowing at 100mol/min, is separated in a distillation column equipped with a total condenser and partial reboiler. We desire 85% recovery of ethyl benzene in the distillate stream, and 85% recovery of the o-xylene in the bottoms stream. The external reflux ratio R is 2 times the minimum value. The relative volatility of ethyle benzene to o-xylene is 1.25 . Compute: a. (5pts) The number of theoretical stages at total reflux using the Fenske equation. b. (10pts) The minimum external reflux ratio using the Underwood equation. c. (10pts) The number of theoretical trays and the corresponding optimum feed location using the Gilliland correlations