a) A distillation column at 1 atm pressure with a partial reboiler and a total condenser is being used to separate a mixture of benzene, toluene, cumene. The feed is 40 mol% benzene, 30 mol% toluene, and 30 mol % cumene and is input as a saturated vapor. We desire 95% recovery of toluene in the distillate, and 95% recovery of cumene in the bottoms. The reflux is returned as a saturated liquid and constant molal overflow (CMO) can be assumed. Equilibrium can be represented as constant relative volatilities. Choosing toluene as the reference component. A = Toluene (LK) 2.25 B = Cumene (HK) 0.21 C= Benzene (LNK) 1.00 Fractional recovery of A in the distillate DXO =0.95 FX Fractional recovery of B in the Bottoms BX=0.95 F XI b) For the multi-component distillation column given in part (a) use the Underwood method to find the minimum reflux ratio, Assume saturated vapor feed (q=0) and F= 100 kgmol/h, and the mole fractions of benzene, toluene and cumene in the distillate are: 0.571, 0.408, 0.021 respectively. Minimum number of stages using Fenskie method : In a LA HR - 1 DXD.IK In N. S O LK. HE Underwood method: Page 4 of 8 dan =1-q Value of gis found by trial A error between a.d