A continuous, steady-state distillation column with a total condenser and a partial reboiler separates methanol from water at one atmosphere total pressure. The feed rate to the column is mf Ibm/hour and the feed temperature is maintained at 1,C. The feed contains mmf mole % methanol and hmf mole % water. A distillate product contains wed mass % methanol and a bottoms product contains mmb mole % methanol. The external reflux ratio LJD is rd. A McCabe-Thiele diagram will be constructed with a top operating line, a feed line, a bottom operating line, the vapor-liquid equilibrium data. The data below are used for the answers to the questions Feed mf, Ibm/hr Temperat Methan ol mole % in the feed mm Water mole in the feed, limf Methanol Methanol mole in the bottom distillate Tod product mmb External reflux ratio, rd ure, TIC Humphrey, Robyn R. 16,433 34.39 28.48 71.52 95.81 3 3.02 4.76 1. Determine the top operating line equation. 2. Formulate the feed line equation. 3. Find the bottom operating line equation. 4. Find the temperature of the top stage. 5. Calculate the heat of condensation (a (cal/g-mole)) for the vapor stream to the condenser at the temperature of the top stage, using Watson's method. 6. Calculate the heat duty of the total condenser in cal/hr. 7. Find the composition of the liquid phase in the second stage from the top of the distillate column 8. Draw the top operating line, the bottom operating line, the feed line, the diagonal line, the distillate concentration line, the feed concentration line, and the bottom concentration line on the attached graph paper, indicating the title of the graph, the title of the coordinate axis, and the title of the ordinate axis. 038 ) Watson's method -T2 22 = 4 21: latent heat of vaporization at T. K 22: latent heat of vaporization at T2 OK Te: critical temperature, OK Liquid heat capacities Cpmethanol = 1.987 (cal/g-mole-K) (13.431 - 5.1280x102T + 1.3113x10* T?) Cpwater =1.987 (cal/g-mole-K) (8.712 + 1.2500x103T - 1.8000x 10-7 T?) Tin K TC 64.7 100 1 methanol 2 water Alat Tb. cal/g.mole 8430 TK 512.6 6473 9720 T: normal boiling temperature To critical temperature 0.1 Table 2-7. Vapor-liquid equilibrium data for the methanol-water system at 1 atm XE yE T'C 0 0 100 0.02 0.134 96.4 0.04 0.23 93.5 0.06 0.304 91.2 0.08 0.365 89.3 0.418 87.7 0.15 0.517 84.4 0.2 0.579 81.7 0.3 0.665 78 0.4 0.729 75.3 0.779 73.1 0.6 0.825 71.2 0.7 0.87 69.3 0.8 0.915 67.6 0.9 0.958 66 0.95 0.979 65 1 64.5 0.5