Illustrattion $10\mathrm{.}2$ Nicotine $($C$)$ in a water $($A$)$ solution containing $1\%$ nicotine is to be extracted with kerosene $($B$)$ at $20C.$ Water and kerosene are essentially insoluble. $($a$)$ Determine the percentage extraction of nicotine if $100kg$ of feed solution is extracted once with $150kg$ solvent. $($b$)$ Repeat for three theoretical extractions using $50kg$ solvent each.

Solutron Equilibrium data are provided by Claffey et al$.,$ Ind. Eng. Chem., $42,166(1950),$ and expressed as $kg$ nicotine $\frac{?}{kg}$ liquid, they are as follows:

$\backslash$table$[[x^{\text{'}}=\frac{kgnicotine}{kg\text{w}\text{a}\text{t}\text{e}\text{r}},0,0\mathrm{.}001011,0\mathrm{.}00246,0\mathrm{.}00502,0\mathrm{.}00751,0\mathrm{.}00998,0\mathrm{.}0204],[y^{\text{'}**}=\frac{kgnicotine}{kgkerosene},0,0\mathrm{.}000807,0\mathrm{.}001961,0\mathrm{.}00456,0\mathrm{.}00686,0\mathrm{.}00913,0\mathrm{.}01870]]$