$($Calculation of the minimum solvent rate$)$ In a petrochemical plant, a gas

containing $4\%$ cyclo$-$hexane and $96\%$ inerts has to be treated with a non$-$volatile absorption oil

in a packed tower. It is required to remove $98\%$ of the cyclo$-$hexane of the feed gas. The feed

solvent is free from cyclo$-$hexane. If the feed gas rate is $80$kmol per hour, calculate the

minimum solvent rate. The equilibrium relation is given as

$Y=\frac{0\mathrm{.}2x}{1+0\mathrm{.}8x}$