# Chemistry - How does the rate constant change with the change of the temperature?

Answer B is technically correct although C could also be accepted. Assuming $$E_A$$ to be constant, at low temperatures because of the inverse $$T$$ in the exponential $$\exp(-E_A/(R\cdot \text{small number}) \equiv \exp(-\text{big})$$ which is a small number. At high temperatures $$\exp(-E_A/(R\cdot \text{big number})\equiv \exp(-\text{small})$$ is a big number, so the rate constant increases with temperature.

At temperature such that the exponential $$\to 1$$ the rate constant is $$A$$ for all practical purposes. Usually this limit is not reached unless $$E_A$$ is very small and then as $$A$$ is also a function of temperature this ($$A$$) term becomes now important. Generally, however, for the vast majority of reactions the exponential term is the most important.