The decay behavior of a radioactive substance obeys first order kinetics: In(N/N,) = -kt, where N is the amount of radioactive nuclei at time = t seconds, N, is the amount at t = 0 seconds, k is the first order rate constant, and t is the elapsed time. If the half-life of the radioactive nuclei is 10 minutes, calculate the amount that remains after 75 seconds. (Hint: at the first half-life, N = ½ N.) You should express your result as a percentage.

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The decay behavior of a radioactive substance obeys first order kinetics: In(N/N) = -kt, where
N is the amount of radioactive nuclei at time = t seconds, N, is the amount at t = 0 seconds, k
is the first order rate constant, and t is the elapsed time. If the half-life of the radioactive
nuclei is 10 minutes, calculate the amount that remains after 75 seconds. (Hint: at the first
half-life, N = ½ N,.) You should express your result as a percentage.
Transcribed Image Text:The decay behavior of a radioactive substance obeys first order kinetics: In(N/N) = -kt, where N is the amount of radioactive nuclei at time = t seconds, N, is the amount at t = 0 seconds, k is the first order rate constant, and t is the elapsed time. If the half-life of the radioactive nuclei is 10 minutes, calculate the amount that remains after 75 seconds. (Hint: at the first half-life, N = ½ N,.) You should express your result as a percentage.
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