An iron-carbon alloy initially containing 0.329 wt% C is exposed to an oxygen- rich and virtually carbon-free atmosphere at 1180°C. Under these circumstances the carbon diffuses from the alloy and reacts at the surface with the oxygen in the atmosphere; that is, the carbon concentration at the surface position is maintained essentially at 0.0 wt% C. At what position will the carbon concentration be 0.247 wt% after a 6 h treatment? The value of D at 1180°C is 7.4 x 10-11 m2/s.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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erf(z)
erf(z)
erf(z)
0.00
0.0000
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
An iron-carbon alloy initially containing 0.329 wt% C is exposed to an oxygen-
rich and virtually carbon-free atmosphere at 1180°C. Under these circumstances
the carbon diffuses from the alloy and reacts at the surface with the oxygen in
the atmosphere; that is, the carbon concentration at the surface position is
maintained essentially at 0.0 wt% C. At what position will the carbon
concentration be 0.247 wt% after a 6h treatment? The value of D at 1180°C is
7.4 x 10
-11 m2/s.
Transcribed Image Text:erf(z) erf(z) erf(z) 0.00 0.0000 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 An iron-carbon alloy initially containing 0.329 wt% C is exposed to an oxygen- rich and virtually carbon-free atmosphere at 1180°C. Under these circumstances the carbon diffuses from the alloy and reacts at the surface with the oxygen in the atmosphere; that is, the carbon concentration at the surface position is maintained essentially at 0.0 wt% C. At what position will the carbon concentration be 0.247 wt% after a 6h treatment? The value of D at 1180°C is 7.4 x 10 -11 m2/s.
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