When a radioactive substance decays, the fraction of atoms present at time t is (t) = e
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When a radioactive substance decays, the fraction of atoms present at time t is ƒ(t) = e−kt, where k > 0 is the decay constant. It can be shown that the average life of an atom (until it decays) is A = − ∫ ∞0 t ƒ(t) dt. Use Integration by Parts to show that A = ∫∞0 ƒ(t) dt and compute A. What is the average decay time of radon-222, whose half-life is 3.825 days?
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