Solved: Americium-241 is used in smoke detectors. It has a
Chapter 6, Problem 105AE(choose chapter or problem)
Americium-241 is used in smoke detectors. It has a first–order rate constant for radioactive decay of \(k = 1.6 × 10^{-3}\) \(yr^{-1}\). By contrast, iodine-125, which is used to test for thyroid functioning, has a rate constant for radioactive decay of k = 0.011 \(day^{-1}\).
(a) What are the half-lives of these two isotopes?
(b) Which one decays at a faster rate?
(c) How much of a 1.00-mg sample of each isotope remains after 3 half-lives?
(d) How much of a 1.00-mg sample of each isotope remains after 4 days?
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