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An Old Bone Sample Contains 321 g321 \mathrm {~g} Of Carbon and Has an Activity of 947 Decays/min Due

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An old bone sample contains 321 g321 \mathrm {~g} of carbon and has an activity of 947 decays/min due to the carbon-14 in it. The half-life of carbon-14 is 5730y5730 \mathrm { y } . Assume that the activity of the atmospheric carbon is, and has remained, 0.255 Bq0.255 \mathrm {~Bq} per gram of carbon.
(a) How old is the sample?
(b) What will be the activity of the sample 2000y2000 \mathrm { y } from now, in decays per minute?


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