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[21]
2 years ago
14
A fossilized leaf contains 8% 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.
Mathematics
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answer:
Setler
[38]
2 years ago
6
0
Elapsed time = half-life * log(beginning amount / ending amount) / log (2)
elapsed time = 5,600 * log (100 / 8) / log (2)
elapsed time = 5,600 * log (12.5) / log (2)
elapsed time = 5,600 * (1.096910013 / 0.30102999566)
elapsed time = 5,600 * <span> <span> <span> 3.6438561898 </span> </span> </span>
elapsed time = <span> <span> <span> 20,405.5946628585 </span>
</span></span><span><span>elapsed time = 20,406 (to nearest year)
</span> </span>
Source:
http://www.1728.org/halflife.htm
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