The relationship between temperature and reaction rate is often described by the Arrhenius equation, which states that the reaction rate constant (k) is exponentially related to the temperature (T):
```
k = Ae^(-Ea/RT)
```
where:
* A is the pre-exponential factor, which represents the frequency of collisions between reactant molecules
* Ea is the activation energy, which is the minimum energy required for a reaction to occur
* R is the ideal gas constant
* T is the temperature in Kelvin
As the temperature increases, the exponential term (-Ea/RT) decreases, which leads to an increase in the reaction rate constant and, therefore, the reaction rate.
However, it's important to note that the effect of temperature on reaction rates can vary depending on the specific reaction and the reaction mechanism. In some cases, increasing the temperature may not significantly affect the reaction rate, or it may even lead to a decrease in the reaction rate if the reaction is exothermic and the higher temperature shifts the equilibrium towards the reactants.