CLASS WORK

$($Minimum liquid rate for absorption$){?}^1$ A packed tower is to be designed for the absorption of $98\%$ of the ammonia $(A)$ from an air$-$ammonia mixture containing $4\%$ ammonia at a rate of $4200N{m}^3($normal cubic metre$)$ per hour using water as the solvent. The tower operates at $105\mathrm{.}1$kPa and $303K.$ The equilibrium data for $N{H}_3-$water system at $303K[$Sherwood$,$ T$.$K$.,$ Ind. Eng. Chem., $17(1925)745]$ are given below:

$\backslash$table$[[$Partial pressure of $N{H}_3(mmHg),19\mathrm{.}3,29\mathrm{.}6,40\mathrm{.}1,51\mathrm{.}0,79\mathrm{.}5],[kgN{H}_3$ per $100kg$ water,$2,3,4,5,7\mathrm{.}5]]$

$($a$)$ Calculate and plot the equilibrium data as $x_A$ vs$.p_A,x_A$ vs$.y_A$ and $x_A$ vs$.Y_A.$ Up to what value of $p_{NH3}$ can the Henry's law be used to describe the equilibrium?

$($b$)$ Calculate the minimum liquid rate for the absorption $($the inlet water is $N{H}_3-$free$).$