Calculate the number of vacancies per cubic meter at 1000°c for a metal that has an energy for vacancy formation of 1.22 ev/atom, a density of 6.25 g/cm3, and an atomic weight of 37.4 g/mol.

To solve this problem, it is necessary to take into account the concepts of the number of vacations N_v at a given temperature as well as the calculation of the number of atom sites per cubic meter.

For definition the number of atomic sites per cubic meter is given as,

Where,

Avogadro's number

density

A = Atomic weight

Replacing with our values we have

At the same time we know that the number of vacancies is defined as,

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Where,

Energy of vacancy

Boltzman constant

T = Temperature

Replacing with the values given we have

Therefore the number of vacancies per cubit meter at 1000°C is

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