When a metal is heated its density decreases. There are two sources that give rise to this diminishment of : (1) the thermal expansion of the solid, and (2) the formation of  vacancies. Consider a specimen of gold at room temperature that has a density of  19.320 g/cm3 . (a) Determine its density upon heating to (800°C) when only thermal expansion is  considered. (b) Repeat the calculation when the introduction of vacancies is taken into account.  Assume that the energy of vacancy formation is 0.98 eV/atom, and that the volume coefficient of thermal expansion, is equal to 3 α

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When a metal is heated its density decreases. There are two sources that give rise to
this diminishment of : (1) the thermal expansion of the solid, and (2) the formation of 
vacancies. Consider a specimen of gold at room temperature that has a density of 
19.320 g/cm3
.
(a) Determine its density upon heating to (800°C) when only thermal expansion is 
considered.
(b) Repeat the calculation when the introduction of vacancies is taken into account. 
Assume that the energy of vacancy formation is 0.98 eV/atom, and that the volume
coefficient of thermal expansion, is equal to 3 αl

 

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