Question

The diffusion coefficients for iron in nickel are given at two temperatures: T (ºK) D (m2 /s) 1273 9.4 x 10-16 1473 2.4 x 10-14 Determine the values of diffusivity, Do and activation energy, Qd. Given gas constant, R is 8.31 J/mol.K.

Answer 1

To determine the values of diffusivity, Do, and activation energy, Qd, we can use the Arrhenius equation.

Step-by-step explanation:

To determine the values of diffusivity, Do, and activation energy, Qd, we can use the Arrhenius equation:

D = Do * exp(-Qd / (R * T))

Using the given diffusion coefficients for iron in nickel at two temperatures, we can set up two equations:

9.4 x 10-16 = Do * exp(-Qd / (8.31 * 1273))

2.4 x 10-14 = Do * exp(-Qd / (8.31 * 1473))

Solving these equations simultaneously will give us the values of Do and Qd.