$(30$ pt$)$ A capillary has a diameter of $15m$ and a length of $0\mathrm{.}25m.$ In an open system, a gaseous mixture containing hydrogen $($A$)$ and nitrogen $($B$),$ having a temperature of $358K$ is being diffused in the aforementioned capillary. The mole fractions are at a constant value of $x_{A1}=1\mathrm{.}0$ and $x_{A2}=0.$ Accordingly, for both nitrogen and hydrogen gases, what is the Knudsen diffusivity values if the pressures are given as $0\mathrm{.}005,0\mathrm{.}5$ and $50$atm. Then calculate the flux with the aforementioned pressures. $(R$ can be used as $82\mathrm{.}057{10}^{-3}{m}^3.at\frac{m}{k}$gmol.$K)$