Arrhenius Equation (for two temperatures)

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Equation / Last modified by Administrator on 2017/06/12 12:40
`E_a = `
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ekskekel.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:

ArrheniusequationAlgebraicMethod-illustration.png

·      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.