Problem: Determine the carburizing time necessary to achieve a carbon concentration listed below at a position listed below into an iron-carbon alloy that initially contains 0.11 wt% C. The surface concentration is to be maintained at 1.2 wt% C, and the treatment is to be conducted at the temperature listed below. Assume that Do = 6.2x105 m/s and Qd = 166 kJ/mol. Utilize the Tabulation Error Function Value Table from your Examination Booklet. --Given Values-- Position (mm) 4.2 Temperature in Celsius = 1316 Final Concentration (wt%C) = 0.52 Tabulation of Error Function Values erf() erf(2) z erf(2) 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 Adanted from Callicia & Date Part A: Calculate the Gaussian Error function, erf(z), from Ficke's Second Law Formula (Round your answer to the ten thousandths place, 0.0000) Your Answer Part B: Find the value for z utilizing the Error Function Table in your Examination Booklet. (Round your answer up to the tenthousandths place, 0.0000) Your Answer Part C: Calculate D, the diffusion coefficient, in m/s at the specified temperature. Write your answer in Scientific Notation. Your Answer Part D: What is the carburizing time in hours? Your Answer