18. A radioactive substance decays exponentially: The mass at time is m (t) = m (0) ekt, where m(0) is the initial mass and k is a negative constant. The mean life of an atom in the substance is ∞ M =-k St tekt dt 0 For the radioactive carbon isotope, ¹4C (Carbon-14), used in radiocarbon dating, the value of k is -0.000121. Find the mean life of a ¹4C atom.
18. A radioactive substance decays exponentially: The mass at time is m (t) = m (0) ekt, where m(0) is the initial mass and k is a negative constant. The mean life of an atom in the substance is ∞ M =-k St tekt dt 0 For the radioactive carbon isotope, ¹4C (Carbon-14), used in radiocarbon dating, the value of k is -0.000121. Find the mean life of a ¹4C atom.
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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