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anonymous

  • one year ago

A certain radioactive isotope has leaked into a small stream. Two hundred days after the leak, 15% of the original amount of the substance remained. Determine the half-life of this radioactive isotope.

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  1. IrishBoy123
    • one year ago
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    the fundamental decay equation is: \( N(t) = N_0 e^{- k t}\) the steps: find k from the first data point, viz \(N(200) = 0.15 N_o = N_0 e^{- k( 200)}\) then, use same equation to calc half life \(T\): \(N(T) = 0.5 * N_o = N_o e^{-k T}\)

  2. anonymous
    • one year ago
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    Great! Thanks--I was on the right track.

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