A vertical flash drum will be used to separate \(1000 \mathrm{kmol} / \mathrm{h}\) of a feed that is 10.0 \(\mathrm{mol} \%\) isopropanol and \(90.0 \mathrm{~mol} \%\) water. Feed is at 9.0 bar and \(75.0^{\circ} \mathrm{C}, \mathrm{V} / \mathrm{F}_{\text {drum }}\) \(=0.50\) and \(\mathrm{p}_{\mathrm{drum}}=1.0\) bar.
a. Find \(\mathrm{L}, \mathrm{V}, \mathrm{x}_{\mathrm{i}}, \mathrm{y}_{\mathrm{i}}, \mathrm{T}_{\text {drum }}\), the heat duty in \(\mathrm{kW}\), and the drum diameter.
b. Unfortunately, the drum available is \(1.0 \mathrm{~m}\) in diameter, which is too small. Your boss suggests raising the drum pressure to use the existing drum with \(\mathrm{V} / \mathrm{F}=0.5\). Maximum drum pressure is 9.0 bar. Will the current drum work at a pressure \(<9.0\) bar?
c. If yes, what is the lowest drum pressure that works (that is, for what pressure does \(\left.\mathrm{D}_{\text {drum }}=1.0 \mathrm{~m}\right)\) ? Find \(\mathrm{L}, \mathrm{V}, \mathrm{x}_{\mathrm{i}}, \mathrm{y}_{\mathrm{i}}, \mathrm{T}_{\text {drum }}\), and the heat duty in \(\mathrm{kW}\).