The Sackur-Tetrode calculator compute the Sackur-Tetrode value based on the volume, number of particles, internal energy and mass of an ideal gas.
INSTRUCTIONS: Choose units and enter the following:
- (V) Volume of gas
- (N) Number of particles in gas
- (U) Internal energy of gas
- (m) Mass of a gas particle
Sackure-Tetrode (S/kN): The calculator returns the value as a real number. NOTE, the results of this calculator have NOT been independently verified. Verification or error reports are requested. Please do so via the vCalc feed-back channels.
The Math / Science
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.
The Sackur–Tetrode formula is:
`S/(kN) = ln[ V/N ( (4pim)/(3h^2) U/N)^(3/2)] + 5/2`
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
