Chemistry

Chemistry

Problem

For a certain reaction, the highest activation energy along the uncatalysed pathway is 120 kJ mol−1120\,\text{kJ mol}^{-1}. Introduction of a catalyst changes the mechanism so that the highest activation energy becomes 48 kJ mol−148\,\text{kJ mol}^{-1}. Calculate the percentage decrease in the highest activation energy achieved by the catalyst.
Intuitive explanation

A catalyst works by offering an alternative route with lower energy barriers—the key is comparing the activation energies of the rate-determining steps before and after. Since activation energy directly controls reaction rate through the Arrhenius equation, lowering the highest barrier along the pathway is exactly how a catalyst speeds things up. You just need to find what fraction of the original barrier was eliminated, then convert to a percentage.

Intuitive explanation

A catalyst works by offering an alternative route with lower energy barriers—the key is comparing the activation energies of the rate-determining steps before and after. Since activation energy directly controls reaction rate through the Arrhenius equation, lowering the highest barrier along the pathway is exactly how a catalyst speeds things up. You just need to find what fraction of the original barrier was eliminated, then convert to a percentage.

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