The equilibrium data for sulfur dioxide $($SO$2)$ distributed in sparse concentration between air and water is expressed by the following equation: $[$ P$\text{'}\_$A $=25\backslash$times X$\_$A $]$Here$,$ the mole fraction of SO$2$ in the gas phase is represented with respect to the operating pressure of the column. The absorption column operates at $10$ atm, and at a certain point in the column, the mole fraction of SO$2$ in the bulk vapor and in the liquid phase is $($ y$\_$A $=0\mathrm{.}01)$ and $($ x$\_$A $=0\mathrm{.}0),$ respectively. The mass transfer coefficients are as follows:$[$ k$\_$x $=10$kgmol$/($m$^2$ h$)($mole fraction

k$\_$y $=8\{$kgmol$/$m$\}^2$ h$($mole fraction$)$Assuming equal$-$molar counter diffusion, $($a$)$ find Kx $,($b$)$ determine the composition at the interface, x$\_$Ai$,$y$\_$Ai $($c$)$ calculate the molar flux N$\_$A$.$