Problem 1 (15 PTS). A mixture of two aromatics is separated in a distillation column designed with a partial condenser and partial reboiler. A partially vaporized feed ( 20% vapor) enters the partial condenser with 45mol% of the heavy key component. Vapor distillate containing 75mol% light key is withdrawn from the partial condenser, and the bottoms is removed from the partial reboiler with 90mol% heavy key. On the following page, construct a McCabe-Thiele diagram on the yx plot and answer the following three questions: (i) How many theoretical plates are required for this separation? (ii) What is the reflux ratio