If $1000k\frac{g}{h}$ of a nicotine $($C$)-$water $($A$)$ solution containing $1wt\%$ nicotine is to be counter

currently extracted with kerosene at $20C$ to reduce the nicotine content to $0\mathrm{.}1wt\%,$ determine

$($a$)$ the minimum kerosene rate, and $($b$)$ the number of theoretical stages required if $1150k\frac{g}{h}r$

kerosene is used.