A radioactive substance decays exponentially: The mass at time t is m(t) = m(0)ekt, where m(0) is the initial mass and k is a negative constant. The mean life M of an atom in the substance is M = -k 00 tekt dt. For a radioactive isotope, the value of k is -0.000168. Find the mean life of the isotope's atom. (Round your answer to one decimal place.) (No Response) yr

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.CR: Chapter Review
Problem 13CC: Suppose that the initial mass of radioactive substance is m0 and the half-life of the substance is...
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A radioactive substance decays exponentially: The mass at time t is m(t) = m (0)ekt, where m(0) is the initial mass and k
is a negative constant. The mean life M of an atom in the substance is
tekt dt.
For a radioactive isotope, the value of k is -0.000168. Find the mean life of the isotope's atom. (Round your answer to one
decimal place.)
(No Response) yr
M = -k
Transcribed Image Text:A radioactive substance decays exponentially: The mass at time t is m(t) = m (0)ekt, where m(0) is the initial mass and k is a negative constant. The mean life M of an atom in the substance is tekt dt. For a radioactive isotope, the value of k is -0.000168. Find the mean life of the isotope's atom. (Round your answer to one decimal place.) (No Response) yr M = -k
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