Example: Interface Compositions in

Interphase Mass Transfer

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 $y_{AG}=0\mathrm{.}380$mol frac and the bulk liquid

concentration is $x_{AL}=0\mathrm{.}100.$ The tower is operating at $298K$ and

$1\mathrm{.}013{10}^{5}Pa$ and the equilibrium data are given.

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 $k_y^{\text{'}}=1\mathrm{.}465{10}^{-3}$

kgmol$\frac{A}{s}*m^2.$ mol frac and for the liquid phase as $k_x^{\text{'}}=1\mathrm{.}96710$

$3$kgmol$\frac{A}{s}*m^2.$ mol frac. Calculate the interface concentrations

$y_{Ai}$ and $x_{Ai}$ and the flux $N_A$