Americium-241 is used in smoke detectors. It hasa first-order rate constant for radioactive decay ofk = 1.6 x 10-3 yr-1. By contrast, iodine-125, which isused to test for thyroid functioning, has a rate constantfor radioactive decay of k = 0.011 day-1. (a) What are thehalf-lives of these two isotopes? (b) Which one decays ata faster rate? (c) How much of a 1.00-mg sample of eachisotope remains after three half-lives? (d) How much of a1.00-mg sample of each isotope remains after 4 days?

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