Arrhenius equation calculator
Reaction rates rise exponentially with temperature, governed by the activation energy.
per second
kJ/mol
Rate constant at the first temperature
17 393.2per second
- Rate constant at the second temperature
- 33 469.1 per second
- Speed-up factor
- 1.9243
Show the working
- Pre-exponential factor A = 10 000 000 000 000
- Activation energy = 50
- Temperature = 25
- Second temperature = 35
- t1k = 25 + 273.15 = 298.15
- t2k = 35 + 273.15 = 308.15
- Rate constant at the first temperature = 10 000 000 000 000 * exp(-50 * 1000 / (Rgas * 298.15)) = 17 393.2
- Rate constant at the second temperature = 10 000 000 000 000 * exp(-50 * 1000 / (Rgas * 308.15)) = 33 469.1
- Speed-up factor = 33 469.1 / 17 393.2 = 1.924 26
Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.
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The formula
- k = A exp(-Ea / R T)
- k2 / k1 = exp(Ea/R x (1/T1 - 1/T2))
The rule of thumb that reaction rate doubles every ten degrees corresponds to an activation energy near 53 kJ/mol at room temperature.