It is desired to enrich the partial pressure of hydrogen in a hydrogen$-$nitrogen gas mixture for which the partial pressures of both gases are $0\mathrm{.}1013$MPa$(1$atm$).$ It has been proposed to accomplish this by passing both gases through a thin sheet of some metal at an elevated temperature; inasmuch as hydrogen diffuses through the plate at a higher rate than does nitrogen, the partial pressure of hydrogen will be higher on the exit side of the sheet. The design calls for partial pressures of $0\mathrm{.}0709$MPa$(0\mathrm{.}7$atm$)$ and $0\mathrm{.}02026$MPa $(10\mathrm{.}2$ atm$),$ respectively, for hydrogen and nitrogen. The concentrations of hydrogen and nitrogen $(C_M$ and $C_N$ in molvm ${?}^3)$ in this metal are functions of gas partial pressures $(p_H,$ and $p_{N_2},$ in MPa $)$ and absolute temperature and are given by the following expressions:

$C_H=2\mathrm{.}5{10}^3\sqrt[\phantom{2}]{D_{H_3}}$exp$(-\frac{27,800\frac{J}{m}ol}{RT}),C_N=2\mathrm{.}75{10}^3\sqrt[\phantom{2}]{P_N}$exp$(-\frac{37\mathrm{.}600\frac{J}{m}ol}{RT})$

The diffurlon coefficients for the diffusion of these gases in this metal are functions of the absolute temperature as follows:

$D_n(m\frac{m^2}{s})=1\mathrm{.}4{10}^{-7}cxp(-\frac{13,\frac{400}{m}ol}{RT}),D_N(m\frac{m^2}{s})=3\mathrm{.}0{10}^{-7}$exp$(-\frac{76,\frac{150}{m}ol}{RT})$

Is it possible to purify hydrogen gas in this manner?