Sackur–Tetrode equation. The Sackur–Tetrode equation is an expression for the entropy of a monatomic classical ideal gas which incorporates quantum considerations which give a more detailed description of its regime of validity. The Sackur–Tetrode equation is named for Hugo Martin Tetrode[1] (1895–1931) and Otto Sackur[2] (1880–1914), who developed it independently as a solution of Boltzmann's gas statistics and entropy equations, at about the same time in 1912. Formula[edit] The Sackur–Tetrode equation is written: where V is the volume of the gas, N is the number of particles in the gas, U is the internal energy of the gas, k is Boltzmann's constant, m is the mass of a gas particle, h is Planck's constant and ln() is the natural logarithm.
See Gibbs paradox for a derivation of the Sackur–Tetrode equation. See also the ideal gas article for the constraints placed upon the entropy of an ideal gas by thermodynamics alone. Sackur–Tetrode constant[edit] S0/R = −1.151 7078(23) for po = 100 kPa References[edit] Sackur-Tetrode_equation (Information Theory)
Connection to Van Der Waals Equation (Sakur-Tedrode Equation) Van der Waals Equation (Statistical Mechanics)