Sackur–Tetrode equation
E58192
The Sackur–Tetrode equation is a fundamental formula in statistical mechanics that gives the absolute entropy of an ideal monatomic gas in terms of its volume, temperature, and particle number.
Statements (40)
| Predicate | Object |
|---|---|
| instanceOf |
statistical mechanics formula
→
thermodynamic equation → |
| appliesTo |
ideal monatomic gas
→
|
| assumes |
classical ideal gas
→
distinguishability corrected by Gibbs factor → non-interacting particles → |
| breaksDownWhen |
gas becomes quantum degenerate
→
temperature is very low → |
| category |
equations of statistical mechanics
→
equations of thermodynamics → |
| corrects |
Gibbs paradox
→
|
| dependsOn |
Planck constant
→
mass of gas particles → particle number → temperature → volume → |
| derivedFrom |
Boltzmann entropy formula
→
Maxwell–Boltzmann statistics → |
| expresses |
entropy per mole
→
entropy per particle → |
| expressibleIn |
molar form
→
per-particle form → |
| field |
statistical mechanics
→
thermodynamics → |
| gives |
absolute entropy
→
|
| includes |
logarithm of temperature to the three-halves power
→
logarithm of volume per particle → quantum concentration term → |
| namedAfter |
Hugo Tetrode
→
Otto Sackur → |
| relatedTo |
Avogadro constant
→
Boltzmann constant → |
| relates |
entropy and phase-space volume
→
|
| role |
bridge between classical and quantum descriptions of gases
→
|
| usedFor |
computing entropy of noble gases
→
connecting thermodynamic and microscopic quantities → testing quantum theory constants → |
| validWhen |
gas is dilute
→
quantum degeneracy is negligible → |
| yearProposed |
1912
→
|
Referenced by (1)
| Subject (surface form when different) | Predicate |
|---|---|
|
Boltzmann constant
→
|
appearsIn |