Sackur–Tetrode equation
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The Sackur–Tetrode equation provides the entropy (Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle S} ) of an ideal gas (classical). It is given by
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 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 Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle k_B} is the Boltzmann constant, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle T} is the temperature, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle p} is the pressure, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle m} is the mass of the gas particle, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle N} is the numer of particles and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle h} is the Planck constant.
References[edit]
- 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)