2 please solve this problem showing all the steps clearly and providing the correct answer.

a Z Z o Question-2. A connecting rod of a high-performance automobile engine is made of a carburized Fe-C alloy (steel) to increase the toughness and resist crack formations. The alloy initially contains 0.06 wt% C. If the processing method is such that the surface concentration is maintained at 2.15 wt% and the treatment is conducted at 1150 C, determine the carburizing time in minutes necessary to achieve a carbon concentration of 0.21 wt% at a position 0.35 mm from the surface into the alloy. R= 8.314 J/mol-K, Do=2.25 X 10-5 m/s, QF146000 J/mol. (10 points) erf(z) erf(z) zerf(z) 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