Show that the entropy of a two-state paramagnet, expressed asa function of temperature, is S = Nk [ln(2coshx) -x tanh x], where x = µB/kT.Check that this formula has the expected behavior as T → 0 and T → ∞ .

Show that the entropy of a two-state paramagnet, expressed asa function of temperature, is S = Nk [ln(2coshx) -x tanh x], where x = µB/kT.Check that this formula has the expected behavior as T → 0 and T → ∞ .

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter11: Molecular Structure

Section: Chapter Questions

Problem 12P

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Question

Show that the entropy of a two-state paramagnet, expressed as
a function of temperature, is S = Nk [ln(2coshx) -x tanh x], where x = µB/kT.
Check that this formula has the expected behavior as T → 0 and T → ∞ .

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