# Arrhenius Equation (for two temperatures)

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The Arrhenius Activation Energy for Two Temperature calculator uses the Arrhenius equation to compute activation energy based on two temperatures and two reaction rate constants.

INSTRUCTIONS: Choose your preferred units and enter the following:

• (k1) This is reaction rate constant 1
• (k2) This is reaction rate constant 2
• (T1) This is temperature 1
• (T2) This is temperature 2

Activation Energy: The calculator returns the activation energy in Joules per mole.

### The Math / Science

The Arrhenius Equation, k = A*e^(-E_a/"RT"), can be rewritten (as shown below) to show the change from k1 to k2 when a temperature change from T1 to T2 takes place. This equation is used to calculate the activation energy of a reaction when multiple temperatures are involved. The inputs are as follows:

·      k1 is the reaction rate constant at temperature 1

·      k2 is the reaction rate constant at temperature 2

·      Ea is the activation energy in Joules per mole (J/mol)

·      R is the ideal gas constant (8.314 J/mol*K)

·      T1 is temperature 1 in Kelvin (K)

·      T2 is temperature 2 in Kelvin (K)

The calculator converts both temperatures to Kelvin so they cancel out properly.

## Supplemental Material

ChemistNate: Example of Arrhenius Equation

Khan Academy: Using the Arrhenius Equation

## References

Whitten, et al. "Chemistry" 10th Edition. Pp. 645

This equation, Arrhenius Equation (for two temperatures), is listed in 3 Collections.