A $100$kmo$\frac{l}{h}$ stream that is $97$mole$\%$ carbon tetrachloride $(CC{l}_4)$ and $3\%$ carbon disulfide $(C{S}_2)$ is to be recovered from the bottom of a distillation column. The feed to the column is $16$mole$\%C{S}_2$ and $84\%CC{l}_4,$ and $2\mathrm{.}5\%$ of the $CC{l}_4$ entering the column leaves in the overhead $($top of the column$).$

$($a$)$ Draw and label a flowchart of the process and do the degree$-$of$-$freedom analysis.

$($b$)$ Calculate the mass and mole fractions of $CC{l}_4$ in the overhead stream and determine the molar flow rates of $CC{l}_4$ and $C{S}_2(kmo\frac{l}{h})$ in the overhead and feed streams.