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if activation energy of a reaction is zero

The activation energy of a reaction is zero. The rate constant of this reaction

The activation energy of a reaction is zero. The rate constant of this reaction

The activation energy of a reaction is zero. The rate constant of this reaction

The activation energy of a reaction is zero. Will the rate constant of the reaction depend upon temperature ?

The activation energy of a reaction is zero. Will the rate constant of the reaction depend upon temperature ? Give reason.