Arrhenius equation for temperature dependence of reaction rates
E562310
The Arrhenius equation for temperature dependence of reaction rates is a fundamental formula in chemical kinetics that quantitatively relates a reaction’s rate constant to temperature and activation energy, explaining why reactions speed up as temperature increases.
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
chemical kinetics equation
ⓘ
empirical equation ⓘ temperature dependence law ⓘ |
| allowsEstimationOf |
activation energy from experimental rate constants
ⓘ
pre-exponential factor from experimental data ⓘ |
| appliesTo |
elementary reactions
ⓘ
many overall reactions as an empirical fit ⓘ |
| ArrheniusPlotDefinition | plot of ln k versus 1/T ⓘ |
| ArrheniusPlotIntercept | ln A ⓘ |
| ArrheniusPlotSlope | −Ea / R ⓘ |
| assumes |
constant activation energy over studied temperature range
ⓘ
single dominant reaction pathway ⓘ |
| canBeLinearizedAs | ln k = ln A − Ea / (R · T) ⓘ |
| describes | temperature dependence of reaction rate constants ⓘ |
| explains | increase of reaction rate with temperature ⓘ |
| field |
chemical kinetics
ⓘ
physical chemistry ⓘ |
| graphType | Arrhenius plot NERFINISHED ⓘ |
| hasLimitation |
may fail for complex mechanisms with changing rate-determining step
ⓘ
may not hold over very wide temperature ranges ⓘ |
| hasMathematicalForm | k = A · exp(−Ea / (R · T)) ⓘ |
| hasSpecialCase | zero activation energy gives temperature-independent rate constant ⓘ |
| hasVariable |
A (pre-exponential factor)
ⓘ
Ea (activation energy) ⓘ R (gas constant) ⓘ T (absolute temperature) ⓘ k (rate constant) ⓘ |
| historicalProposalPeriod | late 19th century ⓘ |
| historicalProposedBy | Svante Arrhenius NERFINISHED ⓘ |
| implies | rate constant increases with increasing temperature for positive activation energy ⓘ |
| isApproximationOf | transition state theory rate expression ⓘ |
| isTaughtIn |
chemical engineering kinetics courses
ⓘ
undergraduate physical chemistry courses ⓘ |
| isUsedIn |
accelerated aging tests
ⓘ
atmospheric chemistry modeling ⓘ chemical reactor design ⓘ combustion modeling ⓘ materials degradation studies ⓘ reaction rate modeling ⓘ |
| mathematicalType | exponential function of inverse temperature ⓘ |
| namedAfter | Svante Arrhenius NERFINISHED ⓘ |
| predicts | exponential dependence of rate constant on inverse temperature ⓘ |
| relates |
rate constant to activation energy
ⓘ
rate constant to temperature ⓘ |
| requires | positive absolute temperature ⓘ |
| requiresUnitsConsistency | activation energy and gas constant units must match ⓘ |
| supportsConcept | activation energy barrier ⓘ |
| usesTemperatureScale | Kelvin NERFINISHED ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.