Steel surfaces can be hardened by carburization. During one such treatment at 1000°C, there is a drop in carbon concentration from 5 to 4 at% carbon between 1 and 2 mm from the surface of the steel. Estimate the flux of carbon atoms into the steel (in atoms/(m2s)) in this near-surface region. ) The density of FCC- Fe at 1000°C is 7.63 g/cm3.