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13 November, 03:53

If 1/8 of an original sample of krypton-74 remains unchanged after 34.5 minutes, what is the half life of krypton-74?

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  1. 13 November, 06:58
    0
    M=m₀*2^ (-t/T)

    m/m₀=2^ (-t/T)

    ln (m/m₀) = - t*ln2/T

    T=-t*ln2/ln (m/m₀)

    T=-34.5min*ln2/ln0.125=11.5 min
  2. 13 November, 07:45
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    After the first half-life period, 1/2 of the sample remains.

    After the 2nd period, only 1/4 remains.

    After the 3rd period, only 1/8 remains.

    Three half-life periods have been completed for 1/8 of the sample to remain, so 34.5/3 = 11.5 minutes.
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