A compound decomposes by a first-order process. If 17.0% of the compound decomposes in 30 minutes, the half-life of the compound is ________.

Question

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The half-life of a first-order reaction is independent of the initial concentration and is given by the equation t1/2 = (ln 2) / k, where k is the rate constant. We can use the given information to calculate the rate constant:ln(100/83) = k * 30 mink = 0.0231 min^-1Therefore, the half-life is:t1/2 = (ln 2) / k = (ln 2) / 0.0231 min^-1 = 112 minutes

A Compound Decomposes by a First-Order Process