Q-1) [35 points] 100 moles of the mixture, whose feed mole fractions are given below, will be separated in a continuously operating staged distillation column. The mixture is fed to the column as a liquid at the boiling point at a pressure of 405.3kPa. It is desired that 95% of the n-pentane in the input stream passes to the upper product and 95% of the n-hexane in the input passes to the lower product. The reflux ratio is 1.3 times the minimum reflux ratio, and has a value of 2. The upper temperature of the column is 66C and the lower temperature is 134C, and the pressure drop along the column can be neglected. By applying the Shortcut Method accordingly, find; a) Flow rates and compositions of the key components for the top and bottom products of the column, b) Flow rates and compositions of non-key components for the top and bottom products of the column. c) The slope of the lower and upper operation lines, d) Minimum number of trays, e) Total number of stages with the help of Erbar-Maddox graph, f) To which stage the feeding is being made, g) Optimum reflux ratio. Note that: Le=LliVe=VviLe=LliVe=Vvili=di/(i1)vi=ibi/(LKi)vi=li+dili=vi+biNm=logLKlog[xLK/xHK]d[xHK/xLK]blogNsNr=0.206log[DBxf,LKxf,HK(xd,HKxb,LK)2]log(di/bi)=1.275+8.481log(i) Root of equation, : between the relative volatility of the light key component and the heavy key component, 60% greater than the relative volatility of the heavy key component