Question $1$

A multi$-$component mixture $($molar flow rate of $100$mol$\frac{.}{h}r)$ of Xylene, Styrene, Toluene and overhead$/$vapour separated in an array of three distillation columns. The mixture enters column $1.$ The compositions of the column $1$ enters column $2$ and the bottom$/$liquid enters column $3.$ The are as given in Table $1.$

$\backslash$table$[[$S$/$N$,$COMPONENT,MIXTURE,OVERHEAD$/$VAPOUR$,$BOTTOM$/$LIQUID$,],[,,$COLUMN $1,$COLUMN $2,$COLUMN $3,$COLUMN $2,$COLUMN $3],[1.,$Xylene,$10,12,17,15,22],[2.,$Styrene,$26,6,12,27,62],[3.,$Toluene,$42,50,47,45,14],[4.,$Benzene,$22,32,24,13,2]]$

A$.$ Draw a flow diagram of the process described above showing the inlet and outlet streams.

B$.$ Obtain the molar flowrate of the overhead$/$vapour and bottom$/$liquid from columns $2$ and $3.$

Hint: Take Component Balance and solve the resulting equations using the Gaussian Elimination Method.