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Math Help - radioactive substance problem

  1. #1
    Senior Member euclid2's Avatar
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    radioactive substance problem

    a radioactive substance has a half life of 20 days.

    i) how much time is required so that only 1/32 of the original amount remains? i can figure out it would take 5 half lives but i don't know how to show it mathematically

    ii) find the rate of decay at this time.
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  2. #2
    MHF Contributor Unknown008's Avatar
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    Use the equation:

    A_o = A 2^{t / t_{\frac{1}{2}}}

    ?

    A_o is the initial amount of matter
    A is the final amount of matter
    t is the time it takes to decay
    t_(1/2) is the half life.
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