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An Introduction to Statistical Mechanics and Thermodynamics$
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Robert H. Swendsen

Print publication date: 2012

Print ISBN-13: 9780199646944

Published to Oxford Scholarship Online: December 2013

DOI: 10.1093/acprof:oso/9780199646944.001.0001

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The Classical Ideal Gas: configurational Entropy

The Classical Ideal Gas: configurational Entropy

(p.40) 4 The Classical Ideal Gas: configurational Entropy
An Introduction to Statistical Mechanics and Thermodynamics

Robert H. Swendsen

Oxford University Press

This chapter uses discrete probability theory to calculate the distribution of particles between two subsystems in a composite system. Following Boltzmann's 1877 definition of entropy, this leads to an explicit expression for the configurational contributions to the entropy of the classical ideal gas. A unique feature of this derivation is that it correctly obtains an extensive expression for entropy, even for distinguishable particles.

Keywords:   classical ideal gas, configurational entropy, Boltzmann, distinguishable particles, probability theory

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