\(300.0 \mathrm{kmol} / \mathrm{h}\) of a saturated liquid feed that is \(40.0 \mathrm{~mol} \% \mathrm{n}\)-nonane (C9) and \(60.0 \mathrm{~mol} \% \mathrm{n}\)-decane (C10) at \(11.0 \mathrm{kPa}\) is fed to a distillation column with \(\mathrm{N}=30\) (including a total condenser and a kettle-type reboiler). Feed is at \(\mathrm{N}_{\text {feed }}=15, \mathrm{D}=120.0 \mathrm{kmol} / \mathrm{h}\), and \(\mathrm{L} / \mathrm{D}=2.0\). Use Peng-Robinson correlation. For both parts \(\mathrm{a}\) and \(\mathrm{b}\) find the distillate and bottoms mole fractions, the fraction of vapor in the feed flashing in the column, the required diameter of the column and tray with the largest diameter (sieve trays at \(80 \%\) of flood with Fair flooding correlation and defaults for the other terms), the distillate and bottoms temperatures in \(\mathrm{K}, \mathrm{Q}_{\mathrm{C}}\) and \(\mathrm{Q}_{\mathrm{R}}\) in \(\mathrm{kW}\), and the pressure in the top and bottom of the column in \(\mathrm{kPa}\).

a. Set the pressure of the condenser at \(10.0 \mathrm{kPa}\) and make the pressure of the column constant.

b. Set the pressure of the condenser at \(10.0 \mathrm{kPa}\) and set a pressure drop per stage and pressure drop in the condenser at \(6.0 \mathrm{~mm}\) of water.