Sackur–Tetrode equation: Difference between revisions

Latest revision as of 19:39, 4 November 2008

The Sackur–Tetrode equation provides the entropy ( $S$ ) of an ideal gas (classical). It is given by

S=Nk_{B}\ln \left[\left({\frac {2\pi mk_{B}T}{h^{2}}}\right)^{3/2}{\frac {k_{B}T}{p}}\exp(5/2)\right]

where $k_{B}$ is the Boltzmann constant, $T$ is the temperature, $p$ is the pressure, $m$ is the mass of the gas particle, $N$ is the numer of particles and $h$ is the Planck constant.

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 {{stub-general}}
+The '''Sackur–Tetrode equation''' provides the [[entropy]] (<math>S</math>) of an [[ideal gas]] (classical). It is given by
+:<math>S=N k_B \ln \left[ \left( \frac{2 \pi m  k_B T}{h^2} \right)^{3/2} \frac{k_BT}{p}  \exp(5/2)\right]</math>
+where <math>k_B</math> is the [[Boltzmann constant]], <math>T</math> is the [[temperature]], <math>p</math> is the [[pressure]], <math>m</math> is the mass of the gas particle, <math>N</math> is the numer of particles and <math>h</math> is the [[Planck constant]].
 ==References==
 #[http://dx.doi.org/10.1002/andp.19133450103 O. Sackur "Die universelle Bedeutung des sog. elementaren Wirkungsquantums", Annalen der Physik '''40''' pp. 67-86 (1913)]