Develop the steady$-$state tray$-$composition for a seven$-$tray absorption column, where the

gas and liquid are flowing counter$-$currently. It can be assumed that a linear equilibrium

relation holds between the liquid $(x_m)$ and vapour $(y_m)$ for each plate: $y_m=a{x}_m+b.$ The

inlet composition to the column $x_0$ and $y_8$ are specified along with the liquid $($L$)$ and gas

$($G$)$ flow rates $($mole$/$time$).$ Parameters: $a=0\mathrm{.}7,b=0,G=66\mathrm{.}7$kmo$\frac{l}{m}in,L=41$

kmo$\frac{l}{m}in.$