What does the Arrhenius equation explain?
Why reactions go faster when heated. Because temperature sits in an exponent, even a small rise gives a big jump in rate - roughly doubling for every 10°C.
// chemistry › Temperature Dependence
Compute the rate constant k = A·e^(−E_a/RT), with symbol legend and real-world examples.
k = A\,e⁻Eₐ / (R\,T)
A mind behind this: Svante Arrhenius 1859–1927
Why reactions go faster when heated. Because temperature sits in an exponent, even a small rise gives a big jump in rate - roughly doubling for every 10°C.
The energy 'hill' molecules must climb to react. A high hill means few make it over (slow); a low hill means many do (fast). Catalysts lower the hill.
Because it sets the fraction of molecules with enough energy to clear the hill, and that fraction rises exponentially with temperature - so the rate climbs steeply, not linearly.
They give a lower-energy path - a smaller hill - so k rises dramatically without adding heat, and the catalyst is not used up. Enzymes do this in your body.
A is how often molecules collide with the right orientation (the top possible rate). R is the gas constant (8.314 J/mol·K) that keeps the units consistent in the exponent.