Subject a piece of steel to a case hardening process in which carbon is forced by diffusion through a layer on the surface of the piece. For this purpose, the piece of steel will be placed in a carbon-rich atmosphere in a special furnace.
The temperature of the piece will be maintained at 900 ºC. Your supervisor wants you to determine the time that it will take to reach a concentration of 0.3% by weight carbon at a distance of 1 mm from the surface of the piece, which was originally made of 1010 steel.
Assume that the diffusion coefficient for carbon in iron is 5.9x10^-12 m^2/s.