Determine the carburizing time (in s) necessary to achieve a carbon concentration of 0.44 wt% at a position 1.7 mm into an iron- carbon alloy that initially contains 0.031 wt% C. The surface concentration is to be maintained at 1.2 wt% C, and the treatment is to be conducted at 1250°C. Assume that Do = 5.1 x 10-5 m²/s and Qd = 154 kJ/mol. You will find the table below useful. Z 0 0.025 erf(z) 0 0.0282 Z 0.55 0.5633 1.3 0.35 0.60 0.6039 1.4 0.15 0.1680 0.75 0.20 0.2227 0.80 erf(z) Z 0.05 0.0564 0.65 0.6420 1.5 0.9661 0.25 0.2763 0.85 0.10 0.1125 0.70 0.6778 1.6 0.9763 0.30 0.3286 0.90 erf(z) 0.3794 0.95 0.9340 0.9523 0.7112 1.7 0.9838 0.7421 1.8 0.9891 0.7707 1.9 0.9928 0.7970 2.0 0.9953 0.8209 2.2 0.9981

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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i
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
0.40
0.45
0.50
0.3794 0.95 0.8209 2.2 0.9981
0.4284 1.0 0.8427 2.4 0.9993
0.4755 1.1 0.8802 2.6
0.9998
0.5205 1.2 0.9103 2.8 0.9999
Transcribed Image Text:i 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 0.40 0.45 0.50 0.3794 0.95 0.8209 2.2 0.9981 0.4284 1.0 0.8427 2.4 0.9993 0.4755 1.1 0.8802 2.6 0.9998 0.5205 1.2 0.9103 2.8 0.9999
Determine the carburizing time (in s) necessary to achieve a carbon concentration of 0.44 wt% at a position 1.7 mm into an iron-
carbon alloy that initially contains 0.031 wt% C. The surface concentration is to be maintained at 1.2 wt% C, and the treatment is to be
conducted at 1250°C. Assume that Do = 5.1 x 10-5 m²/s and Qd = 154 kJ/mol. You will find the table below useful.
Z
0
0.025
erf(z)
0
0.0282
Z
0.55
0.60
0.05 0.0564 0.65
0.35
0.10 0.1125 0.70
0.15 0.1680 0.75
0.25 0.2763 0.85
erf(z) Z erf(z)
0.5633 1.3
0.6039 1.4 0.9523
0.9340
0.6420 1.5 0.9661
0.6778 1.6 0.9763
0.20 0.2227 0.80 0.7421 1.8 0.9891
0.7112 1.7 0.9838
0.7707 1.9
0.30 0.3286 0.90 0.7970 2.0 0.9953
0.3794 0.95 0.8209
0.9928
2.2 0.9981
Transcribed Image Text:Determine the carburizing time (in s) necessary to achieve a carbon concentration of 0.44 wt% at a position 1.7 mm into an iron- carbon alloy that initially contains 0.031 wt% C. The surface concentration is to be maintained at 1.2 wt% C, and the treatment is to be conducted at 1250°C. Assume that Do = 5.1 x 10-5 m²/s and Qd = 154 kJ/mol. You will find the table below useful. Z 0 0.025 erf(z) 0 0.0282 Z 0.55 0.60 0.05 0.0564 0.65 0.35 0.10 0.1125 0.70 0.15 0.1680 0.75 0.25 0.2763 0.85 erf(z) Z erf(z) 0.5633 1.3 0.6039 1.4 0.9523 0.9340 0.6420 1.5 0.9661 0.6778 1.6 0.9763 0.20 0.2227 0.80 0.7421 1.8 0.9891 0.7112 1.7 0.9838 0.7707 1.9 0.30 0.3286 0.90 0.7970 2.0 0.9953 0.3794 0.95 0.8209 0.9928 2.2 0.9981
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