Determine the carburizing time necessary to achieve a carbon concentration of 0.50 wt% at a position 2.5 mm into an iron

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Determine The Carburizing Time Necessary To Achieve A Carbon Concentration Of 0 50 Wt At A Position 2 5 Mm Into An Iron 1 (73.81 KiB) Viewed 25 times

Determine The Carburizing Time Necessary To Achieve A Carbon Concentration Of 0 50 Wt At A Position 2 5 Mm Into An Iron 2 (124.25 KiB) Viewed 25 times

Determine The Carburizing Time Necessary To Achieve A Carbon Concentration Of 0 50 Wt At A Position 2 5 Mm Into An Iron 3 (45.14 KiB) Viewed 25 times

Determine the carburizing time necessary to achieve a carbon concentration of 0.50 wt% at a position 2.5 mm into an iron-carbon alloy that initially contains 0.18 wt% C. The surface concentration is to be maintained at 1.1 wt% C, and the treatment is to be conducted at 1140°C. Assume that Dº = 1.8 × 10-5 m²/s and Qd = 154 kJ/mol. The following table may be useful. Table A Tabulation of Diffusion Data Part 1 From Equation 6.5 calculate the Gaussian error function: erf X 2√ Dt ||
Z 0 0.025 0.05 0.15 0.20 erf(z) Z 0.25 0 0.55 0.10 0.1125 0.70 0.0282 0.60 0.6039 erf(z) Z erf(z) 0.0564 0.65 0.6420 1.5 0.5633 1.3 0.9340 1.4 0.9523 0.40 0.4284 1.0 0.6778 1.6 0.1680 0.75 0.7112 1.7 0.9838 0.45 0.4755 1.1 0.2227 0.80 0.7421 1.8 0.9891 0.50 0.5205 1.2 0.9661 0.2763 0.85 0.7707 1.9 0.9928 0.9763 0.30 0.3286 0.90 0.7970 2.0 0.9953 0.35 0.3794 0.95 0.8209 2.2 0.9981 0.8427 2.4 0.9993 0.9103 2.8 0.8802 2.6 0.9998 0.9999
Part 2 Find the value of 2 using the table below. = z 2√/Dr What is (or z)? 2√/Dr __*___ = 2√ Di the tolerance is +/-2% Click if you would like to Show Work for this question: Open Show Work Part 3 Calculate D, the diffusion coefficient, in m²/s at the specified temperature. m²/s D= Table 5.1 Tabulation of Error Function Values erf(z) 0 0.0282 0.0564 0.1125 0.1680 z 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.0 1.1 1.2 the tolerance is +/-2% Click if you would like to Show Work for this question: Open Show Work z 0 0.025 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your instructor. 0.45 0.50 0.2227 0.2763 0.3286 0.3794 0.4284 0.4755 0.5205 erf(z) 0.5633 0.6039 0.6420 0.6778 0.7112 0.7421 0.7707 0.7970 0.8209 0.8427 0.8802 0.9103 z 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.2 2.4 2.6 2.8 erf(z) 0.9340 0.9523 0.9661 0.9763 0.9838 0.9891 0.9928 0.9953 0.9981 0.9993 0.9998 0.9999
Part 4 What is the carburizing time in hours? t = hours the tolerance is +/-2% Click if you would like to Show Work for this question: Open Show Work