Chemistry

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The half-life of phosphorus-32 is 14.26 days. The decay constant is k=4.86×10−2/days. If you accidentally spill phosphorus-32 onto your shoe, how long would it take before 99.9% of the radioactive material has decayed so that you can safely wear the shoes again?

  • Chemistry -

    .001=e^-.692t/th

    -.693*t/14.26 = ln .001
    t= 142 days? check that.

  • Chemistry -

    ln(No/N) = kt
    Substitute for No = 100
    N = 100-99.9
    Solve for t in days.

  • Chemistry -

    Yeah, thanks.

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