QUESTION $8$ A gas from a petroleum distillation column has its concentration of H$2$S reduced from $0\mathrm{.}03$kgmole $H2$S kgmoles inert gas to $1\%$ of is value by scrubbing with a tri ethanol winine with water as a solvent in a counter current tower of height $7\mathrm{.}79m$ operating at $300$ C and $1$ atint. The equilibrium relation is $Y-2x.$ Pure solvent enters the tower and leaves containing $0\mathrm{.}013kg$ mole H$2$S kgmole of solvent. If the flow of inert hydrocarbon gas is $0\mathrm{.}015$kgmole m$2$s and the gas phase controls the mass transfer. Calculate the overall coefficient for absorption$.$