Q1: Diffusion Temperature-Time Heat Treatment Specification The wear resistance of a steel gear is to be improved by hardening its surface. This is to be accomplished by increasing the carbon content within an outer surface layer as a result of carbon diffusion into the steel; the carbon is to be supplied from an external carbon-rich gaseous atmosphere at an elevated and constant temperature. The initial carbon content of the steel is 0.20 wt%, whereas the surface concentration is to be maintained at 1.00 wt%. For this treatment to be effective, a carbon content of 0.60 wt% must be established at a position 0.75 mm below the surface. Specify an appropriate heat treatment in terms of temperature and time for temperatures between 900 C and 1050 C. Use data in Table 5.2 for the diffusion of carbon in -iron. from Table 5.2 for the diffusion of carbon in -iron, Do= 2.3 * 105 m²/s ,Qd = 1 = 148,000 and J/mol. Table 5.1 Tabulation of Error Function Values z erf(z) z erf(z) erf(z) 0 0.55 0.5633 0.9340 0.0282 0.60 0.6039 0.9523 0.0564 0.65 0.6420 0.9661 0.1125 0.70 0.6778 0.9763 0.1680 0.75 0.7112 0.9838 0.2227 0.80 0.7421 0.9891 0.2763 0.85 0.7707 0.9928 0.3286 0.90 0.7970 0.9953 0.3794 0.95 0.8209 0.9981 0.4284 1.0 0.8427 0.9993 0.4755 1.1 0.8802 0.9998 0.5205 1.2 0.9103 0.9999 0 0.025 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 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
Q1: Diffusion Temperature-Time Heat Treatment Specification The wear resistance of a steel gear is to be improved by hardening its surface. This is to be accomplished by increasing the carbon content within an outer surface layer as a result of carbon diffusion into the steel; the carbon is to be supplied from an external carbon-rich gaseous atmosphere at an elevated and constant temperature. The initial carbon content of the steel is 0.20 wt%, whereas the surface concentration is to be maintained at 1.00 wt%. For this treatment to be effective, a carbon content of 0.60 wt% must be established at a position 0.75 mm below the surface. Specify an appropriate heat treatment in terms of temperature and time for temperatures between 900 C and 1050 C. Use data in Table 5.2 for the diffusion of carbon in -iron. from Table 5.2 for the diffusion of carbon in -iron, Do= 2.3 * 105 m²/s ,Qd = 1 = 148,000 and J/mol. Table 5.1 Tabulation of Error Function Values z erf(z) z erf(z) erf(z) 0 0.55 0.5633 0.9340 0.0282 0.60 0.6039 0.9523 0.0564 0.65 0.6420 0.9661 0.1125 0.70 0.6778 0.9763 0.1680 0.75 0.7112 0.9838 0.2227 0.80 0.7421 0.9891 0.2763 0.85 0.7707 0.9928 0.3286 0.90 0.7970 0.9953 0.3794 0.95 0.8209 0.9981 0.4284 1.0 0.8427 0.9993 0.4755 1.1 0.8802 0.9998 0.5205 1.2 0.9103 0.9999 0 0.025 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 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
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Transcribed Image Text:Ql: Diffusion Temperature-Time Heat Treatment Specification The wear resistance of a
steel gear is to be improved by hardening its surface. This is to be accomplished by
increasing the carbon content within an outer surface laver as a result of carbon diffusion
into the steel; the carbon is to be supplied from an external carbon-rich gaseous
atmosphere at an elevated and constant temperature. The initial carbon content of the
steel is 0.20 wt%, whereas the surface concentration is to be maintained at 1.00 wt%. For
this treatment to be effective, a carbon content of 0.60 wt% must be established at a
position 0.75 mm below the surface. Specify an appropriate heat treatment in terms of
temperature and time for temperatures between 900 C and 1050 C. Use data in Table 5.2
for the diffusion of carbon in -iron, from Table 5.2 for the diffusion of carbon in -iron,
Do= 2.3 * 10 m /s od = 148,000 and J/mol.
Table 5.1
Tabulation of Error Function Values
erf(z)
erf(z)
erf(z)
0.55
0.5633
0.6039
1.3
0.9340
0.025
0.0282
0.0564
0.60
1.4
0.9523
0.05
0.6420
0.6778
0.65
1.5
0.9661
0.9763
0.10
0.1125
0.1680
0.70
1.6
0.15
0.75
0.7112
0.7421
1.7
0.9838
0.20
0.2227
0.80
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
0.9993
0.9998
2.4
0.45
0.4755
0.5205
1.1
0.8802
2.6
0.50
1.2
0.9103
2.8
0.9999
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