What fraction of volume change takes place-crstal is heated


In pure copper at room temperature there is about one atom vacancy every 10^10 atom sites. At the melting temperature (1083 degrees C), there is about one vacancy every 10^3 sites. What fraction of the volume change that takes place when the crystal is heated from room temperature to its melting temperature is due to the presence of vacancies?

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Mechanical Engineering: What fraction of volume change takes place-crstal is heated
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