Problem 5. Hardening of steel via carbon diffusion What temperature is required to obtain 0.50wt%C at a distance of 0.55mm beneath the surface of a 0.20wt%C steel in 2hr, when 1.10wt%C is present at the surface? Assume the iron is face centered cubic (FCC), such that the the diffusion coefficient follows the Arrhenius equation, D(T)=D0exp(RTGa) with the following parameters: D0=0.23cm2/s,Ga=3.29104cal/mol, and R=1.987cal/(K mol)