We are separating hydrocarbons in a two-feed column with a total condenser and a partial reboiler. Operation is at \(75.0 \mathrm{psig} .1000 .0 \mathrm{~kg} / \mathrm{h}\) of saturated liquid feed 1 and \(1500.0 \mathrm{~kg} / \mathrm{h}\) of saturated liquid feed 2 are fed to the column. Feed 1 is \(30.0 \mathrm{wt} \%\) ethane, \(0.6 \mathrm{wt} \%\) propylene, \(45.0 \mathrm{wt} \%\) propane, \(15.4 \mathrm{wt} \% \mathrm{n}-\) butane, and \(9.0 \mathrm{wt} \%\) n-pentane. Feed 2 is \(2.0 \mathrm{wt} \%\) ethane, \(0.1 \mathrm{wt} \%\) propylene, \(24.9 \mathrm{wt} \%\) propane, \(40.0 \mathrm{wt} \%\) n-butane, \(18.0 \mathrm{wt} \%\) n-pentane, and \(15.0 \mathrm{wt} \% \mathrm{n}-\) hexane. We desire \(99.1 \%\) recovery of propane in distillate and \(98.0 \%\) recovery of n-butane in bottoms. Make appropriate assumptions, and calculate distillate and bottoms flow rates and weight fractions of each component in distillate and bottoms.