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 tekt dt. For a radioactive isotope, the value of k is -0.000149. Find the mean life (in years) of the isotope's atom. (Round your answer to one decimal place.) yr

Chemistry: The Molecular Science
5th Edition
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:John W. Moore, Conrad L. Stanitski
Chapter1: The Nature Of Chemistry
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A radioactive substance decays exponentially: The mass at time t is m(t) = m(0)ek", 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
tekt dt.
For a radioactive isotope, the value of k is -0.000149. Find the mean life (in years) of the isotope's atom. (Round your answer to one decimal place.)
yr
Transcribed Image Text:A radioactive substance decays exponentially: The mass at time t is m(t) = m(0)ek", 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 tekt dt. For a radioactive isotope, the value of k is -0.000149. Find the mean life (in years) of the isotope's atom. (Round your answer to one decimal place.) yr
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