Answer:
1.8 mm
Explanation:
given data
thick = 2.5 mm
flux = 1 × [tex]10^{-7}[/tex] kg/m²
high pressure surface is 2 kg/m³
solution
we use fick first law for steady state diffusion
J = D × [tex]\frac{Ca - Cb}{Xa - Xb}[/tex] ..........1
we take here Ca to point which concentration of nitrogen is 2 kg/m³
so we solve Xb
Xb = Xa + D × [tex]\frac{Ca - Cb}{J}[/tex]
assume Xa = 0 at surface
Xb = 0 + ( 12 × [tex]10^{-11}[/tex] ) × [tex]\frac{2 - 0.5}{1*10^{-7}}[/tex]
Xb = 1.8 × [tex]10^{-3}[/tex]
Xb = 1.8 mm