Two feeds containing ethanol and water at \(1.0 \mathrm{~atm}\) are fed simultaneously to the same flash drum. Feed 1 is \(10.0 \mathrm{~mol} \%\) ethanol, \(\mathrm{F}_{1}=150.0 \mathrm{kmol} / \mathrm{h}\), and \((\mathrm{V} / \mathrm{F})_{1}=\) 0.40 . Feed 2 is \(30.0 \mathrm{~mol} \%\) ethanol, \(\mathrm{F}_{2}=100.0 \mathrm{kmol} / \mathrm{h}\), and \((\mathrm{V} / \mathrm{F})_{2}=0.60\). The drum operates at \(1.0 \mathrm{~atm}\)., has zero heat duty, and is adiabatic. Find \(\mathrm{x}_{\mathrm{E}}, \mathrm{y}_{\mathrm{E}}\), and \((\mathrm{V} / \mathrm{F})_{\text {total }}\). Equilibrium data are in Table 2-1. Use a straight edge and draw neatly.

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TABLE 2-1. Vapor-liquid equilibrium data for ethanol and water at 1 atm y and x in mole fractions XEtoh Xw YEtoh Yw T, C 0 1.0 0 1.0 100 0.019 0.981 0.170 0.830 95.5 0.0721 0.9279 0.3891 0.6109 89.0 0.0966 0.9034 0.4375 0.5625 86.7 0.1238 0.8762 0.4704 0.5296 85.3 0.1661 0.8339 0.5089 0.4911 84.1 0.2337 0.7663 0.5445 0.4555 82.7 0.2608 0.7392 0.5580 0.4420 82.3 0.3273 0.6727 0.5826 0.4174 81.5 0.3965 0.6035 0.6122 0.3878 80.7 0.5079 0.4921 0.6564 0.3436 79.8 0.5198 0.4802 0.6599 0.3401 79.7 0.5732 0.4268 0.6841 0.3159 79.3 0.6763 0.3237 0.7385 0.2615 78.74 0.7472 0.2528 0.7815 0.2185 78.41 0.8943 0.1057 0.8943 0.1057 78.15 1.00 0 1.00 0 78.30