In a gas absorber the mass transfer coefficient in the liquid phase is $k_x=12\mathrm{.}0mo\frac{l}{m^2.s}$ and the mass transfer coefficient in the gas phase is $k_y=0\mathrm{.}4mo\frac{l}{m^2.s}.$ The system obeys Henry's law, and the equation of the equilibrium line is $y_A=0\mathrm{.}35x_A.$

$($a$)$ calculate the overall mass transfer coefficient based on the gas phase and the overall mass transfer coefficient based on the liquid phase.

$($b$)$ Determine the ratio of the resistances in the gas and liquid phases. Which is the controlling resistance?

$($c$)$ If the mole fraction of $A$ in the bulk of the gas is $0\mathrm{.}20$ and the mole fraction in the bulk of the liquid phase is $0\mathrm{.}02,$ use the overall mass transfer coefficient calculated above to determine the mass transfer flux $(mo\frac{l}{m^2.s})$