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First-Order Arrhenius Equation

The Arrhenius equation is a formula for the temperature dependence of reaction rates.

The first-order rate constant equals the preexponential factor times the exponential of activation energy divided by the product of the molar gas constant and the temperature.

Formula

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

symbol description physical quantity
k first-order rate constant "FirstOrderRateConstant"
T temperature "Temperature"
Ea activation energy "ActivationEnergy"
A preexponential factor "FirstOrderArrheniusFactor"

Forms

Examples

Get the resource:

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

Get the formula:

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

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "First-Order Arrhenius Equation"], {QuantityVariable[ "k","FirstOrderRateConstant"] -> Quantity[0.00001`, 1/("Seconds")]}]
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Source Metadata

  • Creator:
  • Date: 1889

Publisher Information