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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

QuantityVariable["k", "SecondOrderRateConstant"] == E^((Quantity[-1, "MolarGasConstant"^(-1)]*QuantityVariable[Subscript["E", "a"], "ActivationEnergy"])/QuantityVariable["T", "Temperature"])*QuantityVariable["A", "SecondOrderArrheniusFactor"]

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]:=
ResourceObject["Second-Order Arrhenius Equation"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Second-Order Arrhenius Equation"]]
Out[2]=

Use some values:

In[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")]}]
Out[3]=

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