“Sackur–Tetrode equation”的概念、定义、翻译、参考文献-科学参考

Sackur–Tetrode equation

Physics

An equation for the entropy of a perfect monatomic gas. The entropy S is given by:

$S = n R ln (e^{5 / 2} V / n N_{A} Λ^{3}),$

where Λ‎=h/(2π‎mkT)^½, where n is the amount of the gas, R is the gas constant, e is the base of natural logarithms, V is the volume of the system, N_A is the Avogadro constant, h is the Planck constant, m is the mass of each atom, k is the Boltzmann constant, and T is the thermodynamic temperature. To calculate the molar entropy of the gas both sides are divided by n. The Sackur–Tetrode equation can be used to show that the entropy change Δ‎S, when a perfect gas expands isothermally from V_i to V_f, is given by:

$Δ S = n R ln (a V_{f}) - n R ln (a V_{i}) = n R ln (V_{f} / V_{i}),$

where aV is the quantity inside the logarithm bracket in the Sackur–Tetrode equation. The equation was produced independently in 1912 by Hugo Tetrode (1895–1931) and Otto Sackur (1880–1914).

Chemistry

An expression for the entropy S of a monatomic gas that includes the effects of quantum theory:

$S / R = (\frac{3}{2}) ln m + (\frac{3}{2}) ln T + ln V - ln N + (\frac{3}{2}) ln (2 π) k / h^{2},$

where R is the gas constant, m is the mass of a gas particle, T is the thermodynamic temperature, V is the volume of the gas, N is the number of particles in the gas, K is the Boltzmann constant, h is the Planck constant, and ln stands for natural logarithm. To calculate the molar entropy of the gas both sides are divided by n. The Sackur–Tetrode equation can be used to show that the entropy change Δ‎S, when a perfect gas expands isothermally from V_i to V_f, is given by:
$Δ S = n R ln (a V_{f}) - n R ln (a V_{i}) = n R ln (V_{f} / V_{i}),$
where aV is the quantity inside the logarithm bracket in the Sackur–Tetrode equation. This equation was derived independently in 1912 by Hugo Tetrode (1895–1931) and Otto Sackur (1880–1914).

单词	Sackur–Tetrode equation
释义	Sackur–Tetrode equation Physics An equation for the entropy of a perfect monatomic gas. The entropy S is given by: $S = n R ln (e^{5 / 2} V / n N_{A} Λ^{3}),$ where Λ‎=h/(2π‎mkT)^½, where n is the amount of the gas, R is the gas constant, e is the base of natural logarithms, V is the volume of the system, N_A is the Avogadro constant, h is the Planck constant, m is the mass of each atom, k is the Boltzmann constant, and T is the thermodynamic temperature. To calculate the molar entropy of the gas both sides are divided by n. The Sackur–Tetrode equation can be used to show that the entropy change Δ‎S, when a perfect gas expands isothermally from V_i to V_f, is given by: $Δ S = n R ln (a V_{f}) - n R ln (a V_{i}) = n R ln (V_{f} / V_{i}),$ where aV is the quantity inside the logarithm bracket in the Sackur–Tetrode equation. The equation was produced independently in 1912 by Hugo Tetrode (1895–1931) and Otto Sackur (1880–1914). Chemistry An expression for the entropy S of a monatomic gas that includes the effects of quantum theory: $S / R = (\frac{3}{2}) ln m + (\frac{3}{2}) ln T + ln V - ln N + (\frac{3}{2}) ln (2 π) k / h^{2},$ where R is the gas constant, m is the mass of a gas particle, T is the thermodynamic temperature, V is the volume of the gas, N is the number of particles in the gas, K is the Boltzmann constant, h is the Planck constant, and ln stands for natural logarithm. To calculate the molar entropy of the gas both sides are divided by n. The Sackur–Tetrode equation can be used to show that the entropy change Δ‎S, when a perfect gas expands isothermally from V_i to V_f, is given by: $Δ S = n R ln (a V_{f}) - n R ln (a V_{i}) = n R ln (V_{f} / V_{i}),$ where aV is the quantity inside the logarithm bracket in the Sackur–Tetrode equation. This equation was derived independently in 1912 by Hugo Tetrode (1895–1931) and Otto Sackur (1880–1914).
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