Sackur–Tetrode equation
From SklogWiki
The Sackur–Tetrode equation provides the entropy (\(S\)) of an ideal gas (classical). It is given by
\[S=N k_B \ln \left[ \left( \frac{2 \pi m k_B T}{h^2} \right)^{3/2} \frac{k_BT}{p} \exp(5/2)\right]\]
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.
[edit] References
- O. Sackur "Die universelle Bedeutung des sog. elementaren Wirkungsquantums", Annalen der Physik 40 pp. 67-86 (1913)
- H. Tetrode "Die chemische Konstante der Gase und das elementare Wirkungsquantum", Annalen der Physik 38 pp. 434-442 (1912)
- H. Tetrode "Berichtigung zu meiner Arbeit: 'Die chemische Konstante der Gase und das elementare Wirkungsquantum'", Annalen der Physik 39 pp. 255-256 (1913)