When a radioactive substance decays, the fraction of atoms present at time t is f (t) =
Chapter 7, Problem 92(choose chapter or problem)
When a radioactive substance decays, the fraction of atoms present at time t is f (t) = ekt , where k > 0 is the decay constant. It can be shown that the average life of an atom (until it decays) is A = 0 tf (t) dt. Use Integration by Parts to show that A = 0 f (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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