445lec34 - PHYS 445 Lecture 34 - Van der Waals equation...

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PHYS 445 Lecture 34 - Van der Waals equation 34 - 1 © 2001 by David Boal, Simon Fraser University. All rights reserved; further resale or copying is strictly prohibited. Lecture 34 - Van der Waals equation What's Important: B 2 for hard spheres B 2 for attraction and repulsion van der Waals equation Text : Reif Second virial coefficient At the end of the previous lecture, we established that the second virial coefficient in the equation of state of a non-ideal gas is: B 2 = - 1 2 e - ßu - 1 ( 29 d 3 r (34.1) where u is a two-body interaction potential. In this lecture, we obtain an expression for B 2 for a hard-sphere gas in terms of microscopic parameters. This then permits us to relate the van der Waals parameters to the size of the gas particles. Hard sphere gas In the hard sphere problem, the interparticle potential looks like Note that R o is the sphere diameter, not the sphere radius. With the definition (34.1), the second virial coefficient becomes
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This note was uploaded on 09/07/2009 for the course PHYS 445 taught by Professor Davidboal during the Spring '08 term at Simon Fraser.

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445lec34 - PHYS 445 Lecture 34 - Van der Waals equation...

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