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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe68fb1ae-fc32-4d84-ad25-16ca36cebf4d%2F302074fa-b738-4db3-a1e1-57c2e7f39f11%2F7ijiii9_processed.png&w=3840&q=75)
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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