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14 August, 14:21

The half-life of Radium-226 is 1590 years. If a sample contains 100 mg, how many mg will remain after 4000 years?

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  1. 14 August, 16:13
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    We can calculate the amount left after 4000 years by using the half-life equation. It is expressed as:

    A = Ao e^-kt

    where A is the amount left at t years, Ao is the initial concentration, and k is a constant.

    From the half-life data, we can calculate for k.

    1/2 (Ao) = Ao e^-k (1590)

    k = 4.36 x 10^-4

    A = 100 e^ - 4.36 x 10^-4 (4000)

    A = 17.48 mg
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