SOLUTION: Q16. A fossilized leaf contains 12% of its normal amount of carbon 14. How old is the fossil (to the nearest year)? Use 5600 years as the half-life of carbon 14. a. 1031

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Question 1005553: Q16. A fossilized leaf contains 12% of its normal amount of carbon 14. How old is the fossil (to the nearest year)? Use 5600 years as the half-life of carbon 14.
a. 1031
b. 17,099
c. 20,040
d. 36,108

Answer by fractalier(6550)   (Show Source): You can put this solution on YOUR website!
We use
A(t) = Ao*(1/2)^(t/5600)
.12Ao = Ao*(1/2)^(t/5600)
.12 = (1/2)^(t/5600)
ln .12 = (t/5600) * ln (1/2)
t/5600 = ln .12 / ln (1/2)
t = 5600(ln .12 / ln (1/2))
t = 17130 years

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