For a steel alloy it has been determined that a carburizing heat treatment of 14 h duration at 763°C will raise the carbon concentration to 0.46 wt% at a point 2.2 mm from the surface. Estimate the time necessary to achieve the same concentration at a 5.3 mm position for an identical steel and at a carburizing temperature of 1000°C. Assume that D0 is 1.5 × 10–5 m2/s and Qd is 104 kJ/mol. (Hint – start with equation 5.6 from Callister text book)