For a system in which solute $A$ is transferring from the gas to liquid phase, the equilibrium distribution is given by $y=1\mathrm{.}2x_A.$ At a certain point in the mass transfer device the concentration of solute $A$ in the bulk gas phase is $0\mathrm{.}04$ mole fraction and that in the bulk aqueous phase is $0\mathrm{.}025.$ At the same point, the local individual film mass transfer coefficients for the transport of A through both phases are $k_y=7\mathrm{.}2$kmo$\frac{l}{m^2.h}$ and $k_x=4\mathrm{.}6$kmo$\frac{l}{m^2.h}.$

Calculate the following:

$($a$)$ the overall gas$-$phase and the overall liquid$-$phase driving forces for mass transfer.

$($b$)$ interfacial concentrations in both the gas$-$phase and the liquid$-$phase.

$($c$)$ the overall mass transfer coefficients based on both the gas$-$ and liquidphases.

$($d$)$ the local mass flux, $N_A.$