The solute $A$ is being absorbed from a gas mixture of A and $B$ in a wetted$-$wall tower with the

liquid flowing as a film downward along the wall. At a certain point in the tower, the bulk gas

concentration $y_{AG}=0\mathrm{.}34$mol fraction and the bulk liquid concentration is $x_{AL}=0\mathrm{.}13.$ The tower is

operating at $298K$ and $101\mathrm{.}3$kPa, and the equilibrium data are as follows:

The solute A diffuses through stagnant $B$ in the gas phase and then through a nondiffusing liquid.

Using correlations for dilute solutions in wetted$-$wall towers, the film mass$-$transfer coefficient

for $A$ in the gas phase is predicted as $k_y^{\text{'}}=1\mathrm{.}6{10}^{-3}$kgmol$\frac{A}{s}*m^2*mol$ frac, and for the liquid

phase as $k_x^{\text{'}}=2\mathrm{.}8{10}^{-3}$kgmol$\frac{A}{s}*m^2*molfrac.$

Calculate the following:

a$.$ Interface concentrations $y_{Ai}$ and $x_{Ai}$ and flux $N_A.$

b$.$ Overall mass$-$transfer coefficients $K^{\text{'}}y$ and flux $N_A.$