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10-17. Show that Cy 3 - k²Tf(µo) is the constant volume heat capacity of an ideal Fermi-Dirac gas if µo > kT, where f(ɛ) is the density of states.

10-17. Show that Cy 3 - k²Tf(µo) is the constant volume heat capacity of an ideal Fermi-Dirac gas if µo > kT, where f(ɛ) is the density of states.

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10–17. Show that \[ C_v = \frac{\pi^2}{3} k^2 T f(\mu_0) \] is the constant volume heat capacity of an ideal Fermi-Dirac gas if \(\mu_0 \gg kT\), where \(f(\varepsilon)\) is the density of states.
Transcribed Image Text:10–17. Show that \[ C_v = \frac{\pi^2}{3} k^2 T f(\mu_0) \] is the constant volume heat capacity of an ideal Fermi-Dirac gas if \(\mu_0 \gg kT\), where \(f(\varepsilon)\) is the density of states.
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