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A parent isotope has a half-life τ1/2 = 104yr = 3.15 × 1011sec. Among the daughters...

A parent isotope has a half-life τ1/2 = 104yr = 3.15 × 1011sec. Among the daughters the greatest half-life is 20yr. Others are less than a year. At t = 0 one has 1020 parent nuclei but no daughters. (a) At t = 0 what is the activity (decays/sec) of the parent isotope? (b) How long does it take for the population of the 20yr isotope to reach approximately 97% of its equilibrium value? (c) At t = 104yr how many nuclei of the 20yr isotope are present? Assume that none of the decays leading to the 20yr isotope is branched.

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