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# Difference between revisions of "Ideal gas Helmholtz energy function"

Carl McBride (talk | contribs) |
Carl McBride (talk | contribs) m (defined a couple of terms) |
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:<math>A=Nk_BT\left(\ln \Lambda^3 \rho -1 \right)</math> | :<math>A=Nk_BT\left(\ln \Lambda^3 \rho -1 \right)</math> | ||

+ | where <math>\Lambda</math>is the [[de Broglie thermal wavelength]] and <math>k_B</math> is the [[Boltzmann constant]]. | ||

[[Category:Ideal gas]] | [[Category:Ideal gas]] | ||

[[Category:Statistical mechanics]] | [[Category:Statistical mechanics]] |

## Latest revision as of 11:19, 4 August 2008

From equations

for the canonical ensemble partition function for an ideal gas, and

for the Helmholtz energy function, one has

using Stirling's approximation

one arrives at

where is the de Broglie thermal wavelength and is the Boltzmann constant.