The fraction of a radioactive isotope remaining at time t is , where t1/2 is the

Chapter 24, Problem 24.108

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The fraction of a radioactive isotope remaining at time t is , where t1/2 is the half-life. If the half-life of carbon-14 is 5730 yr, what fraction of carbon-14 in a piece of charcoal remains after (a) 10.0 yr; (b) 10.0103 yr; (c) 10.0104 yr? (12 )t/t1/2 5000. 3150. 2000. 1250. 788 495 0 4 8 12 16 20 Time (h) _ Emission (photons/s) + (d) Why is radiocarbon dating more reliable for the fraction remaining in part (b) than that in part (a) or in part (c)?

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