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8 July, 01:37

The half-life of radium-226 is 1620 years. Knowing this, you can determine the percentage of an original sample of

Ra-226 that will remain after 4860 years have passed. This percent is?

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  1. 8 July, 01:49
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    12.5%

    Explanation:

    We must first determine the fraction of radium-226 remaining after 4860 years. We can obtain that from;

    Nt/No = (1/2) ^t/t1/2

    Where;

    Nt = amount of radium-226 remaining after time t

    No = amount of radium-226 available at time t=0

    t1/2 = half life of radium-226 = 1620 years.

    t = time taken for Nt amount of radium-226 to remain = 4860 years

    Substituting values;

    Nt/No = (1/2) ^ 4860/1620

    Nt/No = (1/2) ^3

    Nt/No = 1/8

    The percentage of the original sample remaining after 4860 years = 1/8 * 100 = 12.5%

    Hence 12.5% of radium-226 remains after 4860 years.
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