A flash drum at \(1.0 \mathrm{~atm}\) is separating a feed consisting of methanol and water. If the feed rate is \(2000 \mathrm{~kg} / \mathrm{h}\) and the feed is \(45 \mathrm{wt} \%\) methanol, what are the values of \(\mathrm{L}(\mathrm{kg} / \mathrm{h}), \mathrm{V}(\mathrm{kg} / \mathrm{h}), \mathrm{y}_{\mathrm{M}}, \mathrm{x}_{\mathrm{M}}\) (weight fractions), and \(\mathrm{T}_{\text {drum }}\) if \(35 \%\) by weight of the feed is vaporized? VLE data are in Table 2-8. Note: Watch your units.

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0 TABLE 2-8. Vapor-liquid equilibrium data for methanol water (p = 1 atm) (mol %) Methanol Liquid 0 Methanol Vapor Temp., C 100 2.0 13.4 96.4 4.0 23.0 93.5 6.0 30.4 91.2 8.0 36.5 89.3 10.0 41.8 87.7 15.0 51.7 84.4 20.0 57.9 81.7 30.0 66.5 78.0 40.0 72.9 75.3 50.0 77.9 73.1 60.0 82.5 71.2 70.0 87.0 69.3 80.0 91.5 67.6 90.0 95.8 66.0 95.0 97.9 65.0 100.0 100.0 64.5