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Chemistry & Chemical Reactivity
10th Edition
ISBN:9781337399074
Author:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Chapter25: Nuclear Chemistry
Section25.4: Rates Of Nuclear Decay
Problem 25.5CYU
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You are given the ratio of carbon atoms in a fossil. Use the information to estimate the age of the fossil. In living organic material, the ratio of radioactive carbon isotopes to the total number of carbon atoms is about 1 to 1012. When organic material dies, its radioactive carbon isotopes
10-)*
t/5715
begin to decay, with a half-life of about 5715 years. So, the ratio R of carbon isotopes to carbon-14 atoms is modeled by R = 10-12
where t is the time (in years) and t = 0 represents the time when the organic material died. (Round your answer to one decimal place.)
R = 0.17 x 10-12
yr
Transcribed Image Text:You are given the ratio of carbon atoms in a fossil. Use the information to estimate the age of the fossil. In living organic material, the ratio of radioactive carbon isotopes to the total number of carbon atoms is about 1 to 1012. When organic material dies, its radioactive carbon isotopes 10-)* t/5715 begin to decay, with a half-life of about 5715 years. So, the ratio R of carbon isotopes to carbon-14 atoms is modeled by R = 10-12 where t is the time (in years) and t = 0 represents the time when the organic material died. (Round your answer to one decimal place.) R = 0.17 x 10-12 yr
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