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# Arrhenius Equation (for two temperatures)

ekskekel.Arrhenius Equation (for two temperatures)

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:

- (
**k**) This is reaction rate constant 1_{1} - (
**k**This is reaction rate constant 2_{2}) - (
**T**) This is temperature 1_{1} - (
**T**) This is temperature 2_{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 k_{1} to k_{2} when a temperature change from T_{1} to T_{2} takes place. This equation is used to calculate the activation energy of a reaction when multiple temperatures are involved. The inputs are as follows:

· k_{1} is the reaction rate constant at temperature 1

· k_{2} is the reaction rate constant at temperature 2

· E_{a} is the activation energy in Joules per mole (J/mol)

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

· T_{1} is temperature 1 in Kelvin (K)

· T_{2} 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

**Arrhenius Equation (for two temperatures)**, references 1 equation/constant.

**Equations and Constants **

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