A liquid mixture containing $50\mathrm{.}0$ wt$\%$ A$,20\mathrm{.}0$ wt$\%$ B$,$ and the balance C is fed to a

distillation column. The bottoms product contains $97\mathrm{.}0$ wt$\%$ C and no A$,$ and $95\mathrm{.}0\%$ of

the C in the feed is recovered in this stream. The overhead product from the first

distillation column is fed to a second distillation column. The overhead product from

the second column contains $98\mathrm{.}0\%$ of the A in the feed. The composition of this stream

is $96\mathrm{.}0$ wt$\%$ A and the balance B$.$ The bottom product from the second column contains

unknown amount of A$,$ B$,$ C$.$

$($a$)$ Draw and label a flowchart of this process.

$($b$)$ Analyze the degree$-$of$-$freedom for the overall process & distillation columns

and state where to start to calculate the unknown variables. Clearly show the

unknows and source of equations in DOF analyses.

$($c$)$ Compute the unknown flowrates and composition of the bottom products from

both the distillation columns only