Q$2$:

A property is being transported through a fluid at steady state through a constant cross sectional area. At point $1$ the concentration ${}_1$ is $5\mathrm{.}56{10}^{-2}$ amount of property $\frac{?}{m^3}$ and $3{10}^{-2}$ at point $2$ at a distance of $2\mathrm{.}0m$ away. The diffusivity depends on concentration $$ as follows:

$=A+B=0\mathrm{.}15+1\mathrm{.}65$

$($a$)$ Derive the integrated equation for the flux in terms of ${}_1$ and ${}_2.$ Then, calculate the flux.

$($b$)$ Calculate $$ at $z=1\mathrm{.}0m$ and plot $$ versus $z$ for the three points.