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Problem 3.23.) Show that the entropy of a two-state paramagnet, expressed as a function of temperature, is S = Nk[ln (2 cosh r) - z tanh r], where z = B/KT. Check that this formula has the expected behavior as T 0 and T.

Problem 3.23.) Show that the entropy of a two-state paramagnet, expressed as a function of temperature, is S = Nk[ln (2 cosh r) - z tanh r], where z = B/KT. Check that this formula has the expected behavior as T 0 and T.

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Problem 3.23.) Show that the entropy of a two-state paramagnet, expressed as a function of temperature, is S = Nk[ln(2 cosh r) - a tanha], where x = uB/kT. Check that this formula has the expected behavior as T0 and T 8.
Transcribed Image Text:Problem 3.23.) Show that the entropy of a two-state paramagnet, expressed as a function of temperature, is S = Nk[ln(2 cosh r) - a tanha], where x = uB/kT. Check that this formula has the expected behavior as T0 and T 8.
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