Problem $1[35]$ Consider the transport of $C{O}_2$ from a coal$-$fired flue gas at $1$ atm with $14\%$

$C{O}_2$ across the gas$-$liquid interface of a solvent fluid$-$coated Raschig ring in a packed

absorption column. The diffusive flux associated with the transport of $C{O}_2$ from the bulk

gas phase to the gas$-$liquid interface is equivalent to

$J_{G,C{O}_2}=\frac{D_{G,C{O}_2}}{}(c_{,C{O}_2}-c_{i,C{O}_2})$

while the diffusive flux of $C{O}_2$ from the gas$-$liquid interface to the bulk fluid is equivalent

to:

$J_{L,C{O}_2}=\frac{D_{L,C{O}_2}}{}(c_{i,C{O}_2}-c_{,C{O}_2})$

For the following two $20$ wt$\%$ MDEA solutions $($H$.$A$.$ Al$-$Ghawas et al$.,$ J$.$ Chem. Eng. Data,

$1989,34(4),385-391)$:

Determine the ratio of the liquid$-$to$-$gas phase:

a$)$ film thicknesses, assuming that the film thickness is proportional to the ratio of the

fluid viscosity to fluid density, and

b$)$ fluxes, assuming the bulk concentration of $C{O}_2$ in the liquid phase is negligible.

Assume solvent association parameter as $2.$