1000 lbmol/hr mixture of toluene and benzene is to be distilled in a plate column at atmospheric pressure. The feed, saturated vapor, is to be fed to the optimum plate. The distillate is to contain 98 mol% benzene, while the bottoms is to contain 2 mol% benzene. Using the Panchen Savarit method and data given below, calculate the following parameters: a) The minimum reflux ratio (Rmin). b) The number of theoretical plates (N) needed and the duties of reboiler (QR) in Btu/hr and condenser (Qc) in Btu/hr using a reflux ratio of 0.80 c) To which actual plate the feed should be sent assuming an overall plate efficiency of 65%. Composition, mole fraction of benzene Enthalpy (Btu/lbmol) x 10-3 Ybenzene HL. (saturated liquid) Hv (saturated vapor) 0.00 0.00 8.075 21.885 0.10 0.21 7.620 21.465 0.20 0.38 7.180 21.095 0.30 0.51 6.785 20.725 0.40 0.62 6.460 20.355 0.50 0.72 6.165 19.980 0.60 0.79 5.890 19.610 0.70 0.85 5.630 19.240 0.80 0.91 5.380 18.865 0.90 0.96 5.135 18.500 1.00 1.00 4.900 18.130