The effect of temperature on the conductivity of 1-butyl-3-methylimidazolium tetrafluoroborate [BMIM][BF4] ionic liquid can be explained using the Arrhenius equation, which describes the temperature dependence of reaction rates and conductivity. The equation is as follows: T = 0 * exp -Ea / k * T where T is the conductivity at temperature T, 0 is the pre-exponential factor, Ea is the activation energy, k is the Boltzmann constant, and T is the temperature in Kelvin.As the temperature increases, the conductivity of [BMIM][BF4] ionic liquid also increases. This is because the increased temperature provides more thermal energy to the ions, which enhances their mobility and thus increases the conductivity. The activation energy Ea represents the energy barrier that must be overcome for the ions to move and conduct electricity. A lower activation energy indicates that the ions can move more easily, leading to higher conductivity.In summary, the conductivity of 1-butyl-3-methylimidazolium tetrafluoroborate [BMIM][BF4] ionic liquid increases with increasing temperature due to the enhanced mobility of ions at higher temperatures.