What temperature is required to obtain 0.4%C at a distance of 0.3 mm beneath the surface of a 0.22% C steel in 2h, when 1.1% C is present at the surface? Assume that the iron is FCC. (Please see figure 5.12 below for diffusion coefficient data. Please use your notes for a table of erf() function values) 10-3 Temperature (°C) 2000 1500 1200 1000 900 800 700 H in no 600 500

Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter3: The Structure Of Real Materials
Section: Chapter Questions
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What temperature is required to obtain 0.4%C at a
distance of 0.3 mm beneath the surface of a 0.22% C
steel in 2h, when 1.1% C is present at the surface?
Assume that the iron is FCC. (Please see figure 5.12
below for diffusion coefficient data. Please use your notes
for a table of erf() function values
Diffusion coefficient D (cm²/s)
ܐ
ܐ
ܐ
ܐ
10-
10-5
10-
10-10
10-11
10-12
10-13
10-14
10-15
Temperature (°C)
2000 1500 1200 1000 900 800 700 600
Cin graphite
Mg in MgO
Ca in Cao
H in FCC iron
C in FCC iron
Fe in FCC iron
Fe in BCC iron
H in BCC iron
C in BCC iron
Fe in FeO
500
5 6 7 8 9 10 11 12 13
104
T(K)
Figure 5-12 The diffusion coefficient D as a function of reciprocal temperature for some
metals and ceramics. In this Arrhenius plot, D represents the rate of the diffusion process.
A steep slope denotes a high activation energy.
Transcribed Image Text:What temperature is required to obtain 0.4%C at a distance of 0.3 mm beneath the surface of a 0.22% C steel in 2h, when 1.1% C is present at the surface? Assume that the iron is FCC. (Please see figure 5.12 below for diffusion coefficient data. Please use your notes for a table of erf() function values Diffusion coefficient D (cm²/s) ܐ ܐ ܐ ܐ 10- 10-5 10- 10-10 10-11 10-12 10-13 10-14 10-15 Temperature (°C) 2000 1500 1200 1000 900 800 700 600 Cin graphite Mg in MgO Ca in Cao H in FCC iron C in FCC iron Fe in FCC iron Fe in BCC iron H in BCC iron C in BCC iron Fe in FeO 500 5 6 7 8 9 10 11 12 13 104 T(K) Figure 5-12 The diffusion coefficient D as a function of reciprocal temperature for some metals and ceramics. In this Arrhenius plot, D represents the rate of the diffusion process. A steep slope denotes a high activation energy.
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