Determine the carburizing time in s) necessary to achieve a carbon concentration of 0.44 wt% at a position 2.4 mm into an iron- carbon alloy that initially contains 0.031 wt%C. The surface concentration is to be maintained at 12 wt%C, and the treatment is to be conducted at 1230C Assume that Do 5.1 x 10 m/sand Q. - 154 kJ/mol. You will find the table below useful z erf(z) Z erf(z) Z erf(z) 0 0 0.55 0.5633 1.3 0.9340 0.025 0.0282 0.60 0.6039 1.4 0.9523 0.05 0.0564 0.65 0.6420 1.5 0.9661 0.10 0.1125 0.70 0.6778 1.6 0.9763 0.15 0.1680 0.75 0.7112 1.7 0.9838 0.20 0.2227 0.80 0.7421 1.8 0.9891 0.25 0.2763 0.85 0.7707 1.9 0.9928 0.30 0.3286 0.90 0.7970 2.0 0.9953 0.35 0.3794 0.95 0.8209 2.2 0.9981 0.40 0.4284 1.0 0.8427 2.4 0.9993 0.45 0.4755 1.1 0.8802 2.6 0.9998 0.50 0.5205 1.2 0.9103 2.8 0.9999