•You are case-hardening a tool made of BCC (α) iron in the presence of a carbonaceous material. A heat treatment at 600 oC for 100 minutes results in a carbon concentration of 0.75 wt% at a position 0.5mm below the surface. How long would it take to obtain the same concentration at the same position if the heat treatment were conducted at 900 oC?   x12/D1t1=  x22/D2t2 Arrhenius equation: D=D0e^(〖-Qd〗∕RT) Qd = Activation energy of diffusion D0 = Pre-exponential diffusion factor R = gas constant = 8.314 J/(mol*K) Use the Arrhenius equation to calculate D1 and D2.   Calculate the time to satisfy the problem statement.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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•You are case-hardening a tool made of BCC (α) iron in the presence of a carbonaceous material. A heat treatment at 600 oC for 100 minutes results in a carbon concentration of 0.75 wt% at a position 0.5mm below the surface. How long would it take to obtain the same concentration at the same position if the heat treatment were conducted at 900 oC?
 
x12/D1t1=  x22/D2t2
Arrhenius equation: D=D0e^(〖-Qd〗∕RT)

Qd = Activation energy of diffusion

D0 = Pre-exponential diffusion factor

R = gas constant = 8.314 J/(mol*K)

Use the Arrhenius equation to calculate D1 and D2.
 
Calculate the time to satisfy the problem statement.
 
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