Question: Repeat Prob. 1490 for a furnace temperature of 500 K at which the diffusion coefficient of carbon in steel is D AB = 2.1
Repeat Prob. 14–90 for a furnace temperature of 500 K at which the diffusion coefficient of carbon in steel is DAB= 2.1 × 10-20 m2/s.
Data from problem 90
A steel part whose initial carbon content is 0.12 percent by mass is to be case-hardened in a furnace at 1150 K by exposing it to a carburizing gas. The diffusion coefficient of carbon in steel is strongly temperature dependent, and at the furnace temperature it is given to be DAB = 7.2 × 10-12 m2/s. Also, the mass fraction of carbon at the exposed surface of the steel part is maintained at 0.011 by the carbon-rich environment in the furnace. If the hardening process is to continue until the mass fraction of carbon at a depth of 0.7 mm is raised to 0.32 percent, determine how long the part should be held in the furnace.
Carbon. : 1150 K ** Steel part
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