SOLUTION: A fossilized leaf contains 27% 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.

Question 194375: A fossilized leaf contains 27% 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.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A fossilized leaf contains 27% 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.
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A(t) = A(o)(1/2)^(t/5600
0.27Ao = Ao*(1/2)^(t/5600
(1/2)^(t/5600) = 0.27
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Take the log to get:
(t/5600)log(0.5) = log(0.27)
t/5600 = 1.8889
t = 10578.22 years
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Cheers,
Stan H.
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