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This question already has an answer here:

Is the value of 'A' necessarily the same for two different reactions taking place at the same temperature?

It's actually a part of another question which is if the rate constant k1 of a reaction is found to be double that of rate constant k2 of another reaction the relationship between corresponding activation energies of the two reactions at the same temperature (e1 and e2) can be represented as e1__e2

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marked as duplicate by Mithoron, Mathew Mahindaratne, M.A.R., Waylander, M. Farooq Jul 28 at 1:33

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The Arrhenius constant, A, does not have to necessarily be the same for two reactions taking place at the same temperature, due to the fact that it depends on the order of a reaction as well as the frequency with which successful collisions will occur during a reaction.

As for the second part, as k ∝ x-Ea, for 2k to be a larger value, Ea for 2k would have to be less than the one for k, i.e. e1 < e2 if the activation energy for 2k is e1 and that for k is e2.

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    $\begingroup$ That would only be told for sure if A for both the reactions is the same. But nothing about it is revealed in the question. $\endgroup$ – Gourav Mahunta Jul 27 at 14:58
  • $\begingroup$ That is very true. Unfortunately there are ambiguous questions that make it difficult for one to solve. My best bet would be to assume that the A is equal for both reactions, unless they state otherwise. As the value of A can be equal for two different reactions, but does not always have to be. Hope this helps :) $\endgroup$ – Liam Jul 27 at 15:07
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    $\begingroup$ Thanks. I'm now satisfied. $\endgroup$ – Gourav Mahunta Jul 28 at 16:18

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