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Relate the concepts of lifetime, rate constant and half-life, mathematically.

Relate the concepts of lifetime, rate constant and half-life, mathematically.

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Answer #1

A decay equation is given by:

A = A0e-kt, where A is the count at time t, A0 is initial count and k is the rate constant of decay

Now lifetime is the time t for A = 0

Half-life is the time taken for A = A0 / 2

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