According to collision theory, the increase in the rate constant with increasing temperature is due mostly to the fact that

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The fraction of collisions that have sufficient energy to react increases with increasing temperature as per collision theory. As the temperature increases, the molecules move with greater kinetic energy and collide more frequently and with more force, increasing the likelihood that they will react. This leads to an increase in the rate constant.

According to Collision Theory, the Increase in the Rate Constant