Answer part A, please

Problem 3 D. x. 96 mol S, X Z = 40 mol% A distillation column will be used to separate a mixture containing 40 mole% of isoamylene (1) and the balance butyraldehyde (2). The feed will be introduced at a rate of 50 kmol/hr and will be 20% vaporized. The column should produce a distillate containing at least 96 mole% isoamylene, and the F=50 kmolhr bottom product should contain at least 90 mole% butyraldehyde. Additionally, 25% of the liquid 20% vapor leaving stage 2 of the column will be drawn to use in a different process (see figure; mole fractions are for isoamylene). The column will use a total condenser with a reflux ratio of 4, and a partial reboiler. Equilibrium data for this system are represented in the plot below (mole fractions are for isoamylene). Determine: B. X. 10 mol% (a) The flow rates and compositions of streams D, B and S (b) The number of theoretical stages required for this separation, and the optimal stage to input the feed 100 90 80 70 60 y (mole%) 50 40 30 20 10 0 0 10 20 30 70 80 90 100 40 50 60 x (mole%) 4