Table Error function (erf) values erf (z) erf (2) erf (z) 0.55 0.5033 13 0.9340 0.025 0.0282 O 60 0.6039 14 0.9523 0.05 0.0564 0.05 0 6420 15 0.9001 0.10 0 1125 0.70 0 6778 16 0.9763 0.15 0.1080 0.75 0.7112 17 0.9838 0 20 0.2227 0.80 0.7421 18 0.0091 025 0 2703 0.85 0.7707 1.9 0.0028 0.30 0.3290 0.90 0.7969 20 0 9953 0.35 0.3704 0.95 0.8209 22 LOGG O O 8427 O 8802 040 0.4284 1.0 24 0.9903 045 0.4755 1.1 2.6 0.0098 O 50 0.5205 12 0.9103 28 0.9900 A 1010 steel is to be carburized using a gas atmosphere that produces 1.0% Cat the surface of the steel. The case depth is defined as the distance below the surface that contains at least 0.5% Č. If carburizing is done at 1000°C, determine the time required to produce a case depth of 0 234 mm. For the diffusion of carbon in FCC iron Q - 137.7 kJ/mol and Do = 0.23 x 10 m²/s. The gas constant is R- 8.314 J/(mol - K). Assume that the diffusion coefficient D remains constant and the concentrations of the diffusing atoms at the surface (c.) and at large distance (z) within the material (co) remain unchanged. Assume a 1010 steel contains 0.10% C. Use the table for error function values as needed. (Express your answer to three significant figures.) h

Elements Of Electromagnetics
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Table Error function (erf) values
erf (z)
erf (2
erf (z)
0.55
0.5033
13
0.9340
0.025
0.0282
O 60
0.6039
14
0.9523
0.05
0.0564
0.05
0 6420
15
0.9001
0.10
0.1125
0.70
0 6778
0.9703
16
0.15
0.1080
0.75
0.7112
1.7
0.9838
0 20
0.2227
080
07421
18
0.0091
025
0 2703
0.85
0.7707
1.9
0.0028
0.30
0.3290
0.90
0.7969
20
0.9953
0.35
03704
0.95
0.8200
22
0.9981
040
0.4284
O 8427
O 8802
1.0
24
0.9903
0.45
0.4755
11
2.6
0.0098
0 50
0.5205
12
0.9103
28
0 9990
A 1010 steel is to be carburized using a gas atmosphere that produces 1.0% Cat the surface of the steel. The case depth is defined as the distance below the
surface that contains at least 0.5% Č. If carburizing is done at 1000 C, determine the time required to produce a case depth of 0 234 mm. For the diffusion of
Garbon in FCC iron Q - 137.7 kJ/mol and Do = 0.23 x 10 m²/s. The gas constant is R- 8.314 J/(mol - K). Assume that the diffusion coefficient D
remains constant and the concentrations of the diffusing atoms at the surface (c.) and at large distance (z) within the material (co) remain unchanged. Assume
a 1010 steel contains 0.10% C. Use the table for error function values as needed.
(Express your answer to three significant figures.)
h
Transcribed Image Text:Table Error function (erf) values erf (z) erf (2 erf (z) 0.55 0.5033 13 0.9340 0.025 0.0282 O 60 0.6039 14 0.9523 0.05 0.0564 0.05 0 6420 15 0.9001 0.10 0.1125 0.70 0 6778 0.9703 16 0.15 0.1080 0.75 0.7112 1.7 0.9838 0 20 0.2227 080 07421 18 0.0091 025 0 2703 0.85 0.7707 1.9 0.0028 0.30 0.3290 0.90 0.7969 20 0.9953 0.35 03704 0.95 0.8200 22 0.9981 040 0.4284 O 8427 O 8802 1.0 24 0.9903 0.45 0.4755 11 2.6 0.0098 0 50 0.5205 12 0.9103 28 0 9990 A 1010 steel is to be carburized using a gas atmosphere that produces 1.0% Cat the surface of the steel. The case depth is defined as the distance below the surface that contains at least 0.5% Č. If carburizing is done at 1000 C, determine the time required to produce a case depth of 0 234 mm. For the diffusion of Garbon in FCC iron Q - 137.7 kJ/mol and Do = 0.23 x 10 m²/s. The gas constant is R- 8.314 J/(mol - K). Assume that the diffusion coefficient D remains constant and the concentrations of the diffusing atoms at the surface (c.) and at large distance (z) within the material (co) remain unchanged. Assume a 1010 steel contains 0.10% C. Use the table for error function values as needed. (Express your answer to three significant figures.) h
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