separation

A company decides to recover component A (molecular weights: 76 kg/kgmol) from the binary mixture with component B (154 kg/kgmol) by using the distillation process. The feed which contains 16 wt.% of component A and 84 wt.% component B is to be distilled at 101.325 kPa. The distillate and the bottom contain 92 wt.% and 2 wt% of A, respectively. The feed enters the distillation column 290.0 K which is below its boiling point of 336.0 K. For the mentioned feed, the heat capacity and enthalpy of the liquid is 225.22 kJ/kgmol.K and 14,200 kJ/kgmol, respectively. Meanwhile, the enthalpy of vapor at feed condition is 40,000 kJ/kgmol. The equilibrium data for A-B system at 101.325 kPa (1 Atm) is provided in Table 1. Table 1: Equilibrium Data for A-B System at 101.325 kPa (1 atm) XA 1 0.860 0.757 0.663 0.532 0.390 0.259 0.144 0.111 0.062 0.030 0 1 0.932 0.878 0.829 0.747 | 0.634 0.495 0.332 0.266 0.156 0.0820 (a) Using Figure 2, plot the mole fraction of A in vapor phase (ya) versus mole fraction of A in liquid phase (xA). (3 Marks) (b) Calculate the amount of distillate and bottom in weight fraction, then convert it to mole-fraction by using an appropriate basis. (5 Marks) (c) Estimate the q (fraction of feed that is liquid) value. (3 Marks) (d) Determine graphically (using Figure 2) the number of theoretical plates and the feed plate number if distillation column operates at a reflux, R = 1.843Rmin. (7 Marks) (e) Assuming Murphree tray efficiency (Em) is 70%, evaluate the number of actual trays. (4 Marks) (f) In your opinion, discuss if the distillation tower is operating at the optimum condition (3 Marks) 1 0.9 0.8 0.7 0.6 MOL FRACTION OF A IN VAPOR, Y 0.5 0.4 0.3 0.2 0.1 0 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 MOL FRACTION OF A IN LIQUID, X Figure 2: Plot Solution for Question 2 on this provided Graph