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.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Arrhenius equation for temperature dependence of reaction rates canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T5991898 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
Target entity: Arrhenius equation for temperature dependence of reaction rates Context triple: [Svante Arrhenius, theory, Arrhenius equation for temperature dependence of reaction rates]
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A.
Butler–Volmer equation
The Butler–Volmer equation is a fundamental relation in electrochemistry that describes how the rate of an electrode reaction (current density) depends on the electrode potential and reaction kinetics.
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B.
Fick's first law of diffusion
Fick's first law of diffusion is a fundamental physical law that relates the diffusive flux of particles to the spatial gradient of their concentration, describing how substances move from regions of high to low concentration.
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C.
Saha ionization equation
The Saha ionization equation is a fundamental formula in astrophysics and plasma physics that relates the ionization state of a gas in thermal equilibrium to its temperature and pressure, crucial for understanding stellar atmospheres and spectra.
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D.
Herzberg–Teller approximation
The Herzberg–Teller approximation is a refinement in molecular spectroscopy that accounts for vibronic coupling by allowing electronic transition dipole moments to depend on nuclear coordinates, explaining intensity in otherwise forbidden transitions.
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E.
Clausius–Clapeyron relation
The Clausius–Clapeyron relation is a fundamental thermodynamic equation that describes how the pressure and temperature of a phase transition, such as boiling or condensation, are related.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: Arrhenius equation for temperature dependence of reaction rates Target entity description: 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.
-
A.
Butler–Volmer equation
The Butler–Volmer equation is a fundamental relation in electrochemistry that describes how the rate of an electrode reaction (current density) depends on the electrode potential and reaction kinetics.
-
B.
Fick's first law of diffusion
Fick's first law of diffusion is a fundamental physical law that relates the diffusive flux of particles to the spatial gradient of their concentration, describing how substances move from regions of high to low concentration.
-
C.
Saha ionization equation
The Saha ionization equation is a fundamental formula in astrophysics and plasma physics that relates the ionization state of a gas in thermal equilibrium to its temperature and pressure, crucial for understanding stellar atmospheres and spectra.
-
D.
Herzberg–Teller approximation
The Herzberg–Teller approximation is a refinement in molecular spectroscopy that accounts for vibronic coupling by allowing electronic transition dipole moments to depend on nuclear coordinates, explaining intensity in otherwise forbidden transitions.
-
E.
Clausius–Clapeyron relation
The Clausius–Clapeyron relation is a fundamental thermodynamic equation that describes how the pressure and temperature of a phase transition, such as boiling or condensation, are related.
- F. None of above. chosen
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 ⓘ |
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Subject: Arrhenius equation for temperature dependence of reaction rates Description of subject: 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.
Referenced by (1)
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