When $-$iron is subjected to an atmosphere of hydrogen gas, the concentration of hydrogen in the iron, $C{H}_H($in weight percent$),$ is a function of hydrogen pressure, $p_{H_2}($in MPa $),$ and absolute temperature $(T)$ according to

$C_H=1\mathrm{.}34{10}^{-2}\sqrt[\phantom{2}]{P_{H_2}}$exp$(-\frac{27\mathrm{.}2\frac{kJ}{m}ol}{RT})$

Furthermore, the values of $D_0$ and $Q_d$ for this diffusion system are $2\mathrm{.}7{10}^{-7}\frac{m^2}{s}$ and $14k\frac{J}{m}ol,$ respectively. Consider a thin iron membrane $2\mathrm{.}3-$mm thick that is at $296C.$ Calculate the diffusion flux in $[$:$k\frac{g}{m^2-s}\}$ through this membrane if the hydrogen pressure on one side of the membrane is $0\mathrm{.}11$MPa, and on the other side $7\mathrm{.}5$MPa, given that the density of iron is $7\mathrm{.}87\frac{g}{c}{m}^3.$

Part $1$

$($a$)$ What is the concentration of hydrogen at the low$-$pressure $($or B$)$ side in wt$\%?$

$C_{H(B)}=,wt\%$

$($b$)$ What is the concentration of hydrogen at the high$-$pressure $($or A$)$ side in wt$\%?$

$C_{H(A)}=,wt\%$

$($C$)$ what is the concentration of hydrogen at the B face in Kg of H per cubic meter.

$($d$)$ what is the concentration of hydrogen at the A face in Kg of H per cubic meter.

$($e$)$ what is the concentration gradient Ac$/$Ax

$($f$)$ calculate the diffusion coefficent D at the soecific temp.

$($g$)$ compute diffusion flux in kg$/$m$^2-$s