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12 June, 21:21

Calcium-47, used to evaluated bone metabolism, has a half-life of 4.5days: How many milligrams of a 16mg sample of calcium-47 remain after 18 days?

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  1. 12 June, 21:47
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    For this problem, we use the formula for radioactive decay which is expressed as follows:

    An = Aoe^-kt

    where An is the amount left after time t, Ao is the initial amount and k is a constant.

    We calculate as follows:

    An = Aoe^-kt

    0.5 = e^-k (4.5)

    k = 0.1540

    An = Aoe^-kt

    An = 16e^-0.1540 (18)

    An = 1.00 mg

    Hope this answers the question. Have a nice day.
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