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The activation energy governs the rate of reaction, and is thought to be equal to the energy needed to break the bonds needed to initiate the reaction. But if we have a reaction like:

$$\ce{A +B -> C}$$

And another like:

$$\ce{A+ + B+ -> C^2+}$$

Would the former have a lower activation energy since there is no repulsion between the molecules? Assume the same bonds are being broken in each case.

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    $\begingroup$ The very example of two reactions related in such a way, especially with the requirement of same bonds being broken, looks highly improbable and artificial. That being said, if such an example can be found, your reasoning should apply. $\endgroup$ Apr 27, 2017 at 21:00
  • $\begingroup$ What I meant in general is what is the definition of activation energy? I've only been introduced to it in the form of the energy required to break bonds, but if we consider a reaction like the one with Iodide ions and S2O8 2- ions ( I think ) , then the normal explanation given is that the reaction does not proceed without a catalyst due to the high activation energy required to overcome the repulsion of like charges. $\endgroup$
    – John
    Apr 27, 2017 at 21:42
  • $\begingroup$ @Saad based on your comment, the example you chose seems to obscure your real question. Also, to get Ivan to see your comment, you have to include "@Ivan Neretin" in your comment (you can only include one reference like this in a comment and it will only ping someone if they have made a comment on that particular post). $\endgroup$
    – Tyberius
    Apr 28, 2017 at 0:07
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    $\begingroup$ Some of the answer to your question is given here, chemistry.stackexchange.com/questions/34909/…. The rate constants are affected by the charges on the molecules and so we may assume that this is equivalent to affecting the activation energy. $\endgroup$
    – porphyrin
    Apr 28, 2017 at 7:09

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Here is a specific example from biochemistry. In the hydrolysis of ATP, the first step is the attack of a hydroxide anion at one of the phosphates. The triphosphate portion of ATP has multiple negative charges at neutral pH, so this reaction is very slow.

When catalyzed by an enzyme, the enzyme often binds to a magnesium cation in such location that it shields some of the negative charge. This makes the reaction proceed faster.

Do electric charges increase activation barriers?

Yes, they do. And there are various strategies to lower the activation barrier in these cases. One is providing a counter ion as described above. Another is to change the charge via acid or base catalysis, i.e. protonating or deprotonating one or the other reactant to decrease electrostatic repulsion.

Would the former have a lower activation energy since there is no repulsion between the molecules?

Yes, and it would be sufficient to remove one of the charges in the latter to lower the activation barrier because electrostatic repulsion requires both particles to be charged.

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