Question $2$:

A gas mixture at a total pressure of $0\mathrm{.}10$atm abs and $298K$ is composed of $C{O}_2($A$)$ and $N_2(B).$ The mixture is diffusing through an open capillary $0\mathrm{.}010m$ long having a diameter of $5{10}^{-6}m.$ The mole fraction of $C{O}_2$ at one end is $x_{A1}=0\mathrm{.}8$ and at the other end is $x_{A2}=0\mathrm{.}2.$ See Table $18\mathrm{.}2-1$ for molecular diffusion coefficients.

Calculate the flux $N_A$ at steady state.

Use the approximate equations $(19\mathrm{.}4-14)$ and $(19\mathrm{.}4-16)$ for this case and compute the errors.