Question $3(50$ Marks$)$

A feed stream $(100k\frac{g}{h})$ containing $25\%$ mass of acetone in water is extracted in a counter current extractor with a solvent containing $100\%$ MIBK. The ratio of solvent to feed is $0\mathrm{.}25$:$1.$

Calculate

$($iii$)$ Calculate the number of stages required if acetone in Raffinate $(R)$ phase is $10\%$ by mass.

$($iv$)$ Calculate the flow rates of Extract $($E$)$ and Raffinate $($R$).$

$($v$)$ Show graphically the construction of stages and difference point

Please use the following ternary diagram for the calculations.