1. Carbon Decay In living organic material, the ratio of the number of radioactive carbon isotopes (carbon 14) to the number of nonradioactive carbon isotopes (carbon 12) is about 1 to 10. When organic material dies, its carbon 12 content remains fixed whereas its radioactive carbon 14 begins to decay with a half-life of about 5700 years. To estimate the age of dead organic material, scientists use the following formula, which denotes the ratio of carbon 14 to carbon 12 present at any time t (in years). 1 R = 1012 Carbon dating model. е 8223 The ratio of carbon 14 to carbon 12 in a newly discovered fossil is R = 1/1013. Estimate the age of the fossil. (а) The ratio of carbon 14 to carbon 12 in a piece of paper buried in a tomb is R = 1/13'. Estimate the age of the piece of paper. (b)

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Estimate the decay of carbon (Precalculus 1)

1. Carbon Decay
In living organic material, the ratio of the number of radioactive carbon isotopes (carbon 14) to
the number of nonradioactive carbon isotopes (carbon 12) is about 1 to 10. When organic material
dies, its carbon 12 content remains fixed whereas its radioactive carbon 14 begins to decay with a
half-life of about 5700 years. To estimate the age of dead organic material, scientists use the
following formula, which denotes
the ratio of carbon 14 to carbon 12 present at any time t (in years).
R =
1012 e 8223
Carbon dating model.
The ratio of carbon 14 to carbon 12 in a newly discovered fossil is R = 1/1013. Estimate
the age of the fossil.
(a)
The ratio of carbon 14 to carbon 12 in a piece of paper buried in a tomb is R = 1/13".
Estimate the age of the piece of paper.
(b)
Transcribed Image Text:1. Carbon Decay In living organic material, the ratio of the number of radioactive carbon isotopes (carbon 14) to the number of nonradioactive carbon isotopes (carbon 12) is about 1 to 10. When organic material dies, its carbon 12 content remains fixed whereas its radioactive carbon 14 begins to decay with a half-life of about 5700 years. To estimate the age of dead organic material, scientists use the following formula, which denotes the ratio of carbon 14 to carbon 12 present at any time t (in years). R = 1012 e 8223 Carbon dating model. The ratio of carbon 14 to carbon 12 in a newly discovered fossil is R = 1/1013. Estimate the age of the fossil. (a) The ratio of carbon 14 to carbon 12 in a piece of paper buried in a tomb is R = 1/13". Estimate the age of the piece of paper. (b)
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