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Activation energy is technically the minimum amount of Kinetic Energy needed for a a collision to result in a reaction (according to the collision theory). The higher the temperature the more Kinetic energy is present meaning the higher the likelihood we will reach this level and end up with a reaction as a result of the collision. With a rise of temperature we are climbing the reaction graph approaching the activation barrier, therefore, we are closer to the activation energy but the activation energy has not itself changed.
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