Question

The diffusion coefficients for species A in metal B are given at two temperatures: At 1030°C, D = 6.69 × 10⁻¹⁷ m²/s. At 1290°C, D = 6.56 × 10⁻¹⁶ m²/s. (a) Determine the value of the activation energy, Qd (in J/mol). _______ J/mol

Answer 1

The activation energy (Ea) for diffusion can be calculated using the Arrhenius equation. By rearranging the equation and substituting the given values, we can determine the value of Ea. In this case, the activation energy is 1.58 × 10^5 J/mol.

Step-by-step explanation:

To determine the value of the activation energy (Ea) for diffusion in metal B, we can use the Arrhenius equation:

k = Ae-Ea/RT

where k is the rate constant, T is the temperature in Kelvin, R is the ideal gas constant, and A is the frequency factor. By rearranging the equation and substituting the given values of D and temperatures, we can solve for Ea:

Ea = -RT ln(D/A)

Using the given values of D and temperatures, we can calculate the activation energy Ea = 1.58 × 105 J/mol.

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