A countercurrent system with N equilibrium stages is used to separate acetic acid from water in

a ternary system of water$-$acetic acid$-$isopropyl ether as shown below. Feed is $40$ wt $\%$ acetic acid and $60$ wt $\%$ water. Feed flow rate is

$1000$ kg$/$h$.$ Solvent is a pure isopropyl ether with a flow rate $($S$)$ of $5$ times larger than the minimum required solvent flow rate. The extraction process should decrease the acetic acid concentration in the outlet raffinate stream $($R$1)$ to $5$ wt $\%($xA$,1=0\mathrm{.}05).$Find the minimum solvent flow rate $($Smin$).$After finding the real solvent flow rate $($S$),$ find the flow rate and concentration of the streams R$1,$ xA$,1,$ xD$,1,$ EN$,$ yA$,$N$,$ yD$,$N$.$ Data to make the diagram is attached