$(40$ pt$)$ In a tower $2$ components, named as A and B$,$ are present. The components are mutually present both in the gas and liquid phases. Component A$,$ which is the solute, diffuses from the gas phase to the liquid phase. Component $B,$ on the other hand, is the non$-$diffusing stagnant component. At a certain location in the tower, the bulk concentration of $A$ in the gas phase is $45\%$ by mole; and the bulk concentration of $A$ in the liquid phase is $5\%$ by mole. The film mass$-$transfer coefficients in the gas phase and the liquid phase are calculated as $1\mathrm{.}465x{10}^{-3}$kgmol$\frac{A}{s}*m^2.$mol frac. and $1\mathrm{.}967{10}^{-3}$kgmol$\frac{A}{s}*m^2.$ mol frac., respectively. Considering the given information, please calculate the interface concentration and the flux of $A$ by using both liquid and gas phase equations.

$\backslash$table$[[y_A,0\mathrm{.}00,0\mathrm{.}02,0\mathrm{.}05,0\mathrm{.}09,0\mathrm{.}13,0\mathrm{.}18,0\mathrm{.}25,0\mathrm{.}37,0\mathrm{.}53,0\mathrm{.}72],[x_A,0\mathrm{.}00,0\mathrm{.}05,0\mathrm{.}10,0\mathrm{.}15,0\mathrm{.}20,0\mathrm{.}25,0\mathrm{.}30,0\mathrm{.}35,0\mathrm{.}40,0\mathrm{.}45]]$