To increase hardness of steel gear, it was carburized at 1040°C by introducing 1.5%C at its steel surface. What will be the final carbon content 0.0014 m beneath the surface if this treatment was lasted for 12 hours. The initial carbon content of steel is 0.1%C. (gas constant is 8.31 J/mol K).

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Table 6.2 A Tabulation of Diffusion Data
A ctivation Energy Qa
Diffusing
Species
Host
Metal
D.(m²/ s)
kJ/mol
eVl atom
Fe
a-Fe
2.8 × 10-4
251
2.60
(ВС)
5.0 × 10-5
у-Fe
(FCC)
Fe
284
2.94
a-Fe
6.2 × 10-7
80
0.83
у-Fe
2.3 × 10-5
148
1.53
Table 6.1 Tabulation of Error Function Values
erf(z)
erf(z)
erf(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
Transcribed Image Text:Table 6.2 A Tabulation of Diffusion Data A ctivation Energy Qa Diffusing Species Host Metal D.(m²/ s) kJ/mol eVl atom Fe a-Fe 2.8 × 10-4 251 2.60 (ВС) 5.0 × 10-5 у-Fe (FCC) Fe 284 2.94 a-Fe 6.2 × 10-7 80 0.83 у-Fe 2.3 × 10-5 148 1.53 Table 6.1 Tabulation of Error Function Values erf(z) erf(z) erf(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
To increase hardness of steel gear, it was carburized at 1040°C by introducing 1.5%C at its
steel surface. What will be the final carbon content 0.0014 m beneath the surface if this
treatment was lasted for 12 hours. The initial carbon content of steel is 0.1%C. (gas constant
is 8.31 J/mol K).
Transcribed Image Text:To increase hardness of steel gear, it was carburized at 1040°C by introducing 1.5%C at its steel surface. What will be the final carbon content 0.0014 m beneath the surface if this treatment was lasted for 12 hours. The initial carbon content of steel is 0.1%C. (gas constant is 8.31 J/mol K).
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