Carbon dating of small bits of charcoal used in cave paintings has determined that some

Chapter 0, Problem 5.49

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Carbon dating of small bits of charcoal used in cave paintings has determined that some of the paintings are from 10 000 to 30 000 yr old. Carbon-14 has a half-life of 5730 yr. In a 1 \(\mu \mathrm{g}\)-sample of carbon from a live tree, the activity of carbon-14 is 6.4 \(\mu \mathrm{Ci}\). If researchers determine that 1 \(\mu \mathrm{g}\) of charcoal from a prehistoric cave painting in France has an activity of 0.80 \(\mu \mathrm{Ci}\), what is the age of the painting? (5.4)

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