In a first-order decomposition reaction. 58.6% of a compound decomposes in 11.7 min. How long (in min) does it take for 80.2% of the compound to decompose

t = 21.5 min.

Explanation:

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In this case, since the kinetics of a first-order reaction is:

Thus, since we are given the 11.7 min for a 58.6-% consumption, we can compute the rate constant, k:

Now, for the second problem, as the new consumption is 80.2%, we can compute the required time as shown below:

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