Advertisement

Activation energy calculator

Find an Arrhenius activation energy from a rate coefficient and frequency factor or two temperatures, and solve the other Arrhenius variables.

Calculator

Activation energy (J/mol)
40,203.991130
Activation energy (kJ/mol)
40.203991
Rate coefficient
1,000.000000
Frequency factor
10,000,000,000.000000
Temperature
300

Advertisement

How this calculator works

Use rate coefficients with the same reaction order and units. The one-temperature method needs an independently known frequency factor; the two-temperature method eliminates it while assuming it stays constant. Temperature is converted to kelvins. Negative apparent activation energies are allowed because complex mechanisms can show them. The result characterizes the chosen temperature range, not necessarily a single elementary barrier.

Formula

k = A exp(-Ea/RT); Ea = RT ln(A/k); Ea = R ln(k2/k1)/(1/T1 - 1/T2). R = 8.31446261815324 J/(mol K).

Worked example

At 300 K, A/k = e gives Ea = 2494.338785 J/mol. If A = k, Ea = 0 at any positive temperature.

Advertisement

Frequently asked questions

Must activation energy be positive?

An elementary barrier is normally positive, but an apparent value for a multistep process can be negative.

Can I use Celsius?

Yes. The unit selector converts Celsius to absolute kelvins before calculation.

What happens at equal temperatures?

Two identical temperatures provide no temperature dependence, so the two-point calculation is undefined.

Sources

Advertisement