Dulong–Petit law

E287400

The Dulong–Petit law is an early empirical rule in thermodynamics stating that many solid elements have approximately the same molar heat capacity at high temperatures.

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Dulong–Petit law canonical 1

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Statements (47)

Predicate Object
instanceOf empirical law ⓘ
law of thermodynamics ⓘ
appliesTo crystalline solids ⓘ
metals ⓘ
monatomic crystalline solids ⓘ
solid elements ⓘ
approximateFor heavy metallic elements ⓘ
approximateNumericalValue 24.9 J mol−1 K−1 ⓘ
assumes each atom in a solid contributes 3k_B to heat capacity ⓘ
basedOn classical equipartition theorem ⓘ
contrastedWith Debye model of specific heat ⓘ
linked to: Debye model

Einstein model of specific heat ⓘ
linked to: Debye model
describes molar heat capacity of many solid elements ⓘ
explainedBy quantum theory of specific heat ⓘ
field physical chemistry ⓘ
solid-state physics ⓘ
thermodynamics ⓘ
givesApproximateValue 3R ⓘ
about 25 joules per mole kelvin ⓘ
historicalContext 19th-century thermodynamics ⓘ
holdsBestFor simple crystalline metals at room temperature ⓘ
implies molar heat capacity is independent of atomic mass ⓘ
involvesConstant gas constant R ⓘ
lessAccurateAt low temperatures ⓘ
lessAccurateFor elements with low Debye temperature ⓘ
light elements ⓘ
mathematicalForm C_V ≈ 3R for many solid elements ⓘ
namedAfter Alexis Thérèse Petit ⓘ
Pierre Louis Dulong ⓘ
proposedBy Alexis Thérèse Petit ⓘ
Pierre Louis Dulong ⓘ
quantityDescribed molar heat capacity at constant pressure (approximately) ⓘ
molar heat capacity at constant volume ⓘ
relatedConcept Debye temperature ⓘ
Einstein solid ⓘ
equipartition of energy ⓘ
heat capacity ⓘ
specific heat capacity ⓘ
scope classical high-temperature limit of lattice heat capacity ⓘ
states many solid elements have approximately the same molar heat capacity at high temperature ⓘ
status approximate law ⓘ
superseded in detail by quantum models of specific heat ⓘ
typeOf specific heat law ⓘ
unitContext joules per mole kelvin ⓘ
usedFor estimating atomic weights of elements (historically) ⓘ
validAt high temperatures ⓘ
yearProposed 1819 ⓘ

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Referenced by (1)

Full triples — surface form annotated when it differs from this entity's canonical label.

equipartition theorem → relatedTo → Dulong–Petit law ⓘ