Q$2(30/100).$ Uric acid $($A$)$ at $20C$ is diffusing in an aqueous solution of proteins $($P$)$ containing $10g$

protein $\frac{?}{100mL}$ solution. Uric acid binds to the proteins and $25\%$ of the total uric acid in solution is bound to

protein. The diffusivity of protein alone in the solution alone $(D_P)$ is $0\mathrm{.}091{10}^{-9}\frac{m^2}{s}.$ The diffusivity of urea

in water is $D_{AB}=1\mathrm{.}20{10}^{-9}\frac{m^2}{s}$ at $20C.$

a$)$ Assuming blockage plus binding effects, predict the ratio $\frac{D_{AP}}{D_{AB}}.$

b$)$ Predict the flux $($with binding$)$ in $kg$ uric acid$/$s$.m^2$ for a concentration of acid of $0\mathrm{.}02k\frac{g}{m^3}$ at point $(1)$

and $0k\frac{g}{m^3}$ at point $(2)$ a distance of $2m$ away.