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Activation Energy from Two Rates Calculator

Find activation energy from rate constants at two temperatures.

Inputs

Results

Activation energy54.61388kJ/mol

Chart

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How to use the activation energy from two rates calculator

Find activation energy from rate constants at two temperatures. Enter rate constant 1, temperature 1, rate constant 2, temperature 2 in the fields above; the activation energy is computed instantly and plotted on the chart so you can see how the answer changes.

Formula

Activation energy (kJ/mol) = RGAS Γ— ln(k2 / k1) / (1 / T1-1 / T2) / 1000

Variables

  • k1 β€” Rate constant 1
  • T1 β€” Temperature 1 (K)
  • k2 β€” Rate constant 2
  • T2 β€” Temperature 2 (K)

Worked example

With rate constant 1 = 0.01, temperature 1 = 298 K, rate constant 2 = 0.04, temperature 2 = 318 K, the calculator gives activation energy β‰ˆ 54.61388 kJ/mol.

Frequently asked questions

What is the formula for the activation energy from two rates calculation?

Activation energy (kJ/mol) = RGAS Γ— ln(k2 / k1) / (1 / T1-1 / T2) / 1000. Here k1 is rate constant 1, T1 is temperature 1 (K), k2 is rate constant 2, T2 is temperature 2 (K).

What inputs do I need for the activation energy from two rates calculator?

You need rate constant 1, temperature 1 in K, rate constant 2, temperature 2 in K. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.

How do I use this calculator?

Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.

Is the result exact?

Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.

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