The decomposition of ethylene oxide (CH₂)₂O(g) → CH₄(g) + CO(g) is a first order reaction with a half-life of 58.0 min at 652 K. The activation energy of the reaction is 218 kJ/mol. Calculate the half-life at 623 K.

Explanation:

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In this case, since this problem refers to two different temperatures, it is possible to compute the rate constant at 652 K given the half-life at such temperature:

Next, by using the T-variable version of the Arrhenius equation, we can compute the rate constant at 623 K:

Finally, the half-life at 623 K turns out to be:

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c. 4.54 x 10–12 j happens to be correct