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 O 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.

Chemistry: Principles and Practice
3rd Edition
ISBN:9780534420123
Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Publisher:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Chapter13: Chemical Kinetics
Section: Chapter Questions
Problem 13.49QE: When formic acid is heated, it decomposes to hydrogen and carbon dioxide in a first-order decay....
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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
O 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 O 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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