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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 -

    Is that 99.9% or some other value? You have no units.
    k = 0.693/t1/2
    Substitute and solve for k, then substitute k into the equation below.
    ln(No/N) = kt
    No = some convenient number like 100.
    N will be 0.1 if 99.9% of the atoms have decayed.
    k from above.
    Solve for t (in the same units as the half life is given).

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