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The half-life of is 30.0 days. What fraction of a sample of this isotope will remain after 16.2 days?

  • chem -

    after 30 days 50% of the sample would have decayed. 50% / 30 days gives you a daily decay rate of 1.6666667. multiply this by 16.2 to give 27. 27 is the percentage of the sample that has decayed after 16.2 days so 100-27 = 73%

  • chem -

    I don't believe that 1.6667 is a constant. For example, at the end of another 30 days it shows 50% and that + te 50 already gone is now zero remaining when in fact there is 25% remaining after 60 days.
    k = 0.693/t1/2. Solve for k and substitute into the equation below.
    ln(No/N) = kt
    No = 100%
    N = % remaining
    k from above
    t = 16.5 days.
    Solve for N.

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