The energy required for self-diffusion is 1.6eV. At 100 degrees C, 1% of the atoms have the energy required for self-diffusion. How many of the atoms would have the energy required for self-diffusion at 120 degrees C?

Question

Chemistry

Colby Lee

11 August, 01:51

The energy required for self-diffusion is 1.6eV. At 100 degrees C, 1% of the atoms have the energy required for self-diffusion. How many of the atoms would have the energy required for self-diffusion at 120 degrees C?

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Answers (1)

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Snow · Answer 1

12.6% of the atoms

Explanation:

We know that:

In (D2/D1) = [Qd/R] [ (1/T1) - (1/T2) ]

where Qd is activation energy for diffusion

T is temperature

Given that

Qd = activation energy for diffusion = 1.6 eV

R = 8.62 x 10-5 eV/K

D1 = 1 %

D2 = ?

T1 = 100°C = 100 + 273 K = 373 K

T2 = 120°C = 120 + 273 K = 393 K

Then,

Calculation:

In (D2/D1) = [Qd/R] [ (1/T1) ] - (1/T2) ]

In (D2/1) = [1.6 eV / 8.62 x 10⁻⁵ eV/K] [ (1/373) ] - (1/393) ]

On solving,

D2 = 12.6 %

Therefore,

12.6% of the atoms have the energy required for self-diffusion at 120°C.