User:Tohline/SR/EOS
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Equations of State
Ideal Gas
In Wikipedia, the ideal gas equation of state is referred to as the ideal gas law. The Wikipedia discussion points out that, as derived from first principles in statistical mechanics, this "gas law" can most naturally be written in the form,
<math>P = \biggl( \frac{N}{V} \biggr) kT</math>
where <math>~P</math>, <math>~T</math> and <math>~k</math> are as we have defined them in our accompanying variables appendix, and the ratio <math>(N/V)</math> specifies the number density of free particles that make up the gas. The number density of free particles also can be written as a ratio of the mass density, <math>~\rho</math>, to the average mass per particle, <math>\bar{m}</math>, that is, the ideal gas equation of state may be written in the form,
<math>P = \biggl( \frac{\rho}{\bar{m}} \biggr) kT</math> .
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