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vorcil
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Homework Statement
Nitrogen in the upper atmostphere is convereted by radiation to carbon 14
the half-life of carbon, [tex] \tau = 5730 [/tex] years
carbon 14 makes up a known proportion of living plants and animals, after they die, the proportion of carbon 14 decays.
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History records that an eruption on Mount Vesuvius buried the city Pompeli in 79 AD
excavations uncovered bones and these contain 79.17 % of the original carbon 14:
the question:
Does the radiocarbon dating agree with the historical record?------------------------
The Attempt at a Solution
I'm going to assume that the percentage of undecayed mass, 79.17% was measured in 2010
as the question dosen't say when
2010 - 79 = 1931, the number of years passed
[tex] \frac{1931}{\tau} [/tex] = [tex] \frac{1931}{5730} [/tex] = 0.3369 % [tex] \tau [/tex]
now that means it should be 100% - 33.69% of the original mass
= 0.663%,
So I'm going to say that the radiocarbon dating dosen't agree with the historical record, and that the bones uncovered had been of people that had died before the eruption on Vesuvius,
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Can someone confirm that I've done this correctly?
thanks