Mathematics, 05.07.2021 20:00 Bianca1203

A radioactive substance decays exponentially: The mass at time t is m(t) = m(0)e^kt, where m(0) is the initial mass and k is a negative constant. The mean life M of an atom in the substance is [infinity]
M = âk â« te^kt dt.
0

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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A radioactive substance decays exponentially: The mass at time t is m(t) = m(0)e^kt, where m(0) is t...