Compute diffusion coefficients for the interdiffusion of carbon in both (a) ?-ir

Question

Compute diffusion coefficients for the interdiffusion of carbon in both (a) ?-iron (BCC) and (b) ?-iron (FCC) at 800?C. Assume that D0 for the interdiffusion of carbon in ?-iron and in ?-iron are 6.3

Compute diffusion coefficients for the interdiffusion of carbon in both (a) ?-iron (BCC) and (b) ?-iron (FCC) at 800?C. Assume that D0 for the interdiffusion of carbon in ?-iron and in ?-iron are 6.3 times 10-7 and 2.1 times 10-5 m2/s, respectively, and that Qd are 80 and 148 kJ/mol, respectively. Put both answers in scientific notation (e.g., 2.0E-2).

Explanation / Answer

We are asked to compute the diffusion coefficients of C in both ? and ? iron at

800 C. ,

D? = (6.3 x 10^-7 m2/s) exp [-(80000J/mol) / (8.31 J/mol-K)(1073 K)]

= 0.79 x 10^-10 m^2/s

D?= (2.1 x 10^-5 m2/s) exp [- (148000 J/mol) /(8.31 J/mol-K)(1073 K)]

= 1.3 x 10^-12 m^2/s

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