The bones of a prehistoric bison were found to have a C-14 activity of 2. 80 dis/min gram of carbon. Approximately, how long ago did the animal live? Given that the half life of Carbon-14 isotope is 5668 years.
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Expert's answer
2017-03-26T04:52:06-0400
The decay rate of carbon-14 in fresh material today is 13.6 counts per minute per gram. 1) Decimal fraction of C-14 remaining: 2.80 / 13.6 = 0.20588235 2) Amount of half-lives elapsed: (1/2) n = 0.20588235 n log 0.5 = log 0.20588235 n = 2.42857146 3) Length of time elapsed: 5668 yr x 2.42857146 = 13765 years
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