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Math Help - Differntial Problem Radioactive decay

  1. #1
    Member zangestu888's Avatar
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    Differntial Problem Radioactive decay

    A sample of 100g (intially) of pure Bismuth-210 contains only 14.4 g of the radioactive substance after 14 days. Determine the mass m(t) of bismuth-210 after t days and the half-life of bismuth-210.
    Any help will be much appreciated! thanx
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  2. #2
    MHF Contributor
    skeeter's Avatar
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    y = y_0e^{kt}<br />

    general equation is y = 100e^{kt}

    14.4 = 100e^{k \cdot 14}

    solve for k.

    use the equation and the value of k found above ...

    50 = 100e^{kt}

    and solve for t to find the half-life
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