As we saw a radioactive substance decays exponentially: The mass at time t is m(t) = m(0)e

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As we saw a radioactive substance decays exponentially: The mass at time t is m(t) = m(0)e^kt, where ms0d is the initial mass and k is a negative constant. The mean life M of an atom in the substance is

For the radioactive carbon isotope, ¹⁴C, used in radiocarbon dating, the value of k is –0.000121. Find the mean life of a ¹⁴C atom.

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Calculus Early Transcendentals

ISBN: 9781337613927

9th Edition

Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin

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Question Posted: Jan 14, 2021 12:45 AM

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As we saw a radioactive substance decays exponentially: The mass at time t is m(t) = m(0)e

Question:

M = -k kt

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Since k 0 the first two terms approach 0 you can verify ...View the full answer

Calculus Early Transcendentals

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