Steel is carburized in a high-temperature process that depends on the transfer of carbon by diffusion. The value of the diffusion coefficient is strongly tempera- ture dependent and may be approximated as Dc-s (m²/s) = 2 x 10-5 exp [-17,000/T (K)]. If the process is effected at 1000°C and a carbon mole fraction of 0.02 is maintained at the surface of the steel, how much time is required to elevate the carbon content of the steel from an initial value of 0.1% to a value of 1.0% at a depth of 1 mm?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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14.43 Steel is carburized in a high-temperature process that
depends on the transfer of carbon by diffusion. The
value of the diffusion coefficient is strongly tempera-
ture dependent and may be approximated as Dc-s
(m²/s) = 2 x 10-5 exp [-17,000/T (K)]. If the process
is effected at 1000°C and a carbon mole fraction of 0.02
is maintained at the surface of the steel, how much time
is required to elevate the carbon content of the steel
from an initial value of 0.1% to a value of 1.0% at a
depth of 1 mm?
Transcribed Image Text:14.43 Steel is carburized in a high-temperature process that depends on the transfer of carbon by diffusion. The value of the diffusion coefficient is strongly tempera- ture dependent and may be approximated as Dc-s (m²/s) = 2 x 10-5 exp [-17,000/T (K)]. If the process is effected at 1000°C and a carbon mole fraction of 0.02 is maintained at the surface of the steel, how much time is required to elevate the carbon content of the steel from an initial value of 0.1% to a value of 1.0% at a depth of 1 mm?
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