Deriving vdW-equation from kinetic theory

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SUMMARY

The discussion focuses on deriving the van der Waals (vdW) equation from the molecular kinetic theory of gases without employing statistical physics tools like partition functions. It highlights that the vdW equation of state can be interpreted through a virial expansion. A recommended resource for this derivation is "Statistical Physics" by Landau & Lifshitz, Volume V, noted for its comprehensive treatment of thermodynamics and statistics.

PREREQUISITES
  • Molecular kinetic theory of gases
  • Understanding of the van der Waals equation
  • Familiarity with virial expansion concepts
  • Basic knowledge of thermodynamics
NEXT STEPS
  • Study the derivation of the van der Waals equation from kinetic theory
  • Explore virial expansions in detail
  • Read "Statistical Physics" by Landau & Lifshitz, Volume V
  • Investigate the limitations of kinetic theory in thermodynamics
USEFUL FOR

Students and researchers in physics, particularly those focused on thermodynamics, molecular theory, and the derivation of equations of state without statistical mechanics.

Philip Koeck
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Does anybody know of a derivation of the van der Waals equation from the molecular kinetic theory of gases, but without using the tools of statistical physics (such as partition functions)?
 
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The vdW EoS can be understood as a virial expansion. You find a nice derivation in Landau&Lifshitz vol. V (which is anyway one of the best books on thermodynamics and statistics).
 
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