$(15\%)$

A $1-$mm$-$thick BCC iron foil is used to separate a region of high nitrogen gas concentration of $0\mathrm{.}1$ at $\%($atomic percent$)$ from a region of low nitrogen gas concentration at $650C.$ If the flux of nitrogen through the foil is ${10}^{16}$ atoms $\frac{?}{(m^2.s)},($a$)$ what is the nitrogen concentration in the low concentration region $?($b$)$ Plot the trend between the nitrogen concentration in the low concentration region and temperatures from ${25}^{}650C$; $($c$)$ what temperature makes the nitrogen concentration in the low concentration stabilize and explain your answer $?($hint: check the table $5-1$ in your textbook or any sources$)$