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) B=Cumene (HK) C= Benzene (LNK) 2.25 0.21 1.00 M DX=0.95 =0.95 FXyB Fractional recovery of A in the distillate Fractional recovery of B in the Bottoms FX BX 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: Ina-1 Underwood method: DXD IK BX In BX. DXpK Page 4 of 8 ax a-o -1-9 Value of gis found by trial A error between a