Question $3$: D$4($Wankat$,2017)$

$400k\frac{g}{h}$ of an aqueous feed that is $0\mathrm{.}5wt\%$ acetic acid mixture is extracted with $3$ heptanol at $25C.$ Assume water and heptanol are immiscible. Equilibrium is $\frac{\text{W}\text{e}\text{i}\text{g}\text{h}\text{t}\text{f}\text{r}\text{a}\text{c}\text{t}\text{i}\text{o}\text{n}\text{a}\text{c}\text{e}\text{t}\text{i}\text{c}\text{a}\text{c}\text{i}\text{d}in\text{s}\text{o}\text{l}\text{v}\text{e}\text{n}\text{t}}{\text{W}\text{e}\text{i}\text{g}\text{h}\text{t}\text{f}\text{r}\text{a}\text{c}\text{t}\text{i}\text{o}\text{n}\text{a}\text{c}\text{e}\text{t}\text{i}\text{c}\text{a}\text{c}\text{i}\text{d}in\text{w}\text{a}\text{t}\text{e}\text{r}}=0\mathrm{.}828$

Solvent flow rate is $560k\frac{g}{h}.$ Entering solvent contains $0\mathrm{.}01wt\%$ acetic acid.

a$.$ Find outlet raffinate and extract mole fractions for $10$ equilibrium stages.

b$.$ Find outlet raffinate and extract mole fractions for $11$ equilibrium stages.

Final answers: $y_1=\frac{0\mathrm{.}00345}{0\mathrm{.}00347}$