Knowing that the energy associated with the formation of 1 mole of vacancies in copper (Cu) is 104 kJ, determine the vacancy density (nv/cm3) in Cu at 1139 K. Assume the pre-exponential factor is one.

3. Knowing that the energy associated with the formation of 1 mole of vacancies in

copper (Cu) is 104 kJ, determine the vacancy density (nv/cm3) in Cu at 1050K.
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nv
N+ Ae*ΔHv kT(A + 1) Nv/cm3+Ncm3e*ΔHv kT
Ncm3
for Cu + 6.02 x 1023mol. vol.+6.02 x 1023 mole/7.1 cm3 mole+ 8.48 x 10 22 atomscm3
nvcm3+ 8.48 x 1022 x e*1.04 x 105 NxkxT
nv
cm3+ 5.65 x 1017