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March 25, 2017

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A quantity of oxygen gas had 16.32 g of the radioactive isotope oxygen-19 in it. When measured exactly 10 minutes later, the amount of oxygen-19 was 0.964 g. What is the half-life, in seconds, of oxygen-19?

  • math - ,

    16.32(1/2)^(t/k) = .964 , where t is in minutes, and k is the half-life in minutes.
    (.5)^(10/k) = .0590686.. ( I stored it)
    ln both sides

    (10/k) ln .5= ln (.059068...)
    10/k = 4.081464...
    k = 2.4504 minutes or 147.006 seconds

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