Leave a bottle of hydrogen peroxide in a hot garage and it fizzes out twice as fast as in the cool basement — heat speeds up chemistry, and in 1889 Svante Arrhenius wrote down exactly how much. His equation, k = A·e^(−Ea/RT), says a reaction's rate constant k depends on the activation energy Ea, the temperature T, and a pre-exponential factor A. The exponential is the dramatic part: a small rise in temperature makes the exponent less negative, and the rate climbs steeply. Roughly speaking, many reactions double their speed every 18°F (10°C) — which is why food spoils faster on the counter, why your car's battery struggles in a Minnesota January, and why chemists refrigerate anything reactive.

AP Chemistry students meet the Arrhenius equation when they study kinetics, usually in its two-temperature form: comparing rates at two temperatures lets you solve for the activation energy, the energy hill molecules must climb before they can react. This calculator evaluates the pieces: enter your two known quantities and read the computed rate relationship. The concept to carry away is the exponential sensitivity — linear thinking ("a little warmer, a little faster") badly underestimates what heat does to a reaction, and this equation is the correction.

With the pre-filled defaults — Variable A 10, Variable B 5 — the Arrhenius Equation Calculator returns Result 50.0000. Change any input and those results update instantly, so you can see exactly how each number you enter moves the answer.