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For questions like this one where you're given one rate constant at one temperature and asked to find the rate constant at another, does it matter whether we solve for k or k', so long as the corresponding temperatures to each rate constant are in the correct position in the formula?
For this question and problems like this where two rate constants at two different temperatures for the same reaction and the activation energy is given as well, use the Arrhenius equation to find the answer.
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