$($points $25)$ Water is used to remove $C{O}_2$ from air by absorption in a column packed with Raschig

rings. At a region of the column where, in the gas phase, the bulk mole ratio of $C{O}_2$ to air $(Y)$ is

$0\mathrm{.}0532$ the bulk mole ratio of dissolved $C{O}_2$ to water $(x)$ in the liquid phase is $0\mathrm{.}001.$ At this

location, the gas phase mass transfer coefficient, $k_{y}a=15$lbmole$\frac{s}{f}{t}^3.h$ and the liquid phase mass

transfer coefficient, $k_{x}a=25$lbmole$\frac{s}{f}{t}^{3}h.$ The equilibrium partition constant of $C{O}_2$ between air$-$

and$-$water follows the equation $K=0\mathrm{.}3.$ What is rate of transfer of $C{O}_2$ from gas phase to liquid

phase at this location in Ibmoles $\frac{?}{f{t}^3}*h?$