Example 11.8: Mean pressure in extreme relativistic case Consider a perfect quantum gas in a volume V
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Example 11.8: Mean pressure in extreme relativistic case Consider a perfect quantum gas in a volume V and determine the relation between its mean energy E and the mean pressure P in both the nonrelativistic and extreme relativistic cases using P = kT∂ ln Z/∂V,Z =
i exp(−Ei/kT) of Eq. (11.40). (Answer: PV = (2/3, 1/3)E).
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