Recall that radioactive/nuclear decay of isotopes follows first-order kinetics, and the integrated rate law for first-order reactions is:
[N]t = concentration at time t
k = decay constant
t = time
[N]0 = initial concentration.
Americium-241 is used in smoke detectors. It has a first-order rate constant for the radioactive decay of k = 1.6x10-3 yr-1. By contrast, iodine-125, which is used to test for thyroid functioning, has a rate constant for the radioactive decay of k = 0.011 day-1.
A) How much of a 1.00 mg
sample of americium remains after 4 days?
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