2. Show that the Sackur-Tetrodé equation (7.29) may also be written as S = Nk({log T–log p+log k+log 2nm-3 log h+) where p is the pressure of the perfect gas.

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2. Show that the Sackur-Tetrode equation (7.29) may also be
written as
S= Nk( log T-log p+log k+log 2nm-3 log h+)
where p is the pressure of the perfect gas.
3. Derive the equation of state and the total energy of a semi-
classical perfect gas from the expression for the free energy aş
given in equation 7.30. Explain why the results obtained are the
same as for a classical perfect gas while the entropy obtained from
this free energy is not.
Transcribed Image Text:2. Show that the Sackur-Tetrode equation (7.29) may also be written as S= Nk( log T-log p+log k+log 2nm-3 log h+) where p is the pressure of the perfect gas. 3. Derive the equation of state and the total energy of a semi- classical perfect gas from the expression for the free energy aş given in equation 7.30. Explain why the results obtained are the same as for a classical perfect gas while the entropy obtained from this free energy is not.
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