4. Consider a piece of steel containing 0.20% C at 750°C in an oxidizing atmosphere oxidizing enough to remove all of the carbon from the surface. Solubility (wt.%) of carbon in \(\alpha\)-iron at 750°C is 0.02%.
a. Find an appropriate diffusivity for C in iron at 750°C. Q=122,500 j/mol, $D_0$= 2.2 \(\times\) 10$^{-4}$
b. Using Fick's first law, J = -Ddc/dx, express the flux, J, in terms of the depth of the decarburized layer.