Second-Order Arrhenius Equation
The Arrhenius equation is a formula for the temperature dependence of reaction rates.
The second-order rate constant equals the pre\[Hyphen]exponential factor times the exponential of activation energy divided by the product of the molar gas constant and the temperature.
Formula
![Copy to Clipboard QuantityVariable["k", "SecondOrderRateConstant"] == E^((Quantity[-1, "MolarGasConstant"^(-1)]*QuantityVariable[Subscript["E", "a"], "ActivationEnergy"])/QuantityVariable["T", "Temperature"])*QuantityVariable["A", "SecondOrderArrheniusFactor"]](https://www.wolframcloud.com/objects/resourcesystem/marketplacestorage/resources/3ba/3ba708ab-419c-4a1c-a200-e36fed8b1322/Webpage/FormulaImage.png)
| symbol | description | physical quantity |
|---|---|---|
| k | second-order rate constant | "SecondOrderRateConstant" |
| T | temperature | "Temperature" |
| Ea | activation energy | "ActivationEnergy" |
| A | preexponential factor | "SecondOrderArrheniusFactor" |
Forms
Examples
Get the resource:
| In[1]:= |
| Out[1]= | ![]() |
Get the formula:
| In[2]:= |
| Out[2]= |
Use some values:
| In[3]:= | ![]() |
| Out[3]= |

![FormulaData[
ResourceObject[
"Second-Order Arrhenius Equation"], {QuantityVariable[
"k","SecondOrderRateConstant"] ->
Quantity[0.00164`3., ("Decimeters")^3/("Moles" "Seconds")],
QuantityVariable["A","SecondOrderArrheniusFactor"] ->
Quantity[1.`2.*^9, ("Decimeters")^3/("Moles" "Seconds")]}]](images/3ba/3ba708ab-419c-4a1c-a200-e36fed8b1322-io-3-i.en.gif)