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An ancient club is found that contains 130 g of pure carbon and has an activity of 7 decays per second. Determine its age assuming that in living trees the ratio of (14C12C)(14C12C) atoms is about 1.30×10−121.30×10−12. Note that the half life of carbon-14 is 5700 years and the Avogadro number is 6.02×10236.02×1023

Question

An ancient club is found that contains 130 g of pure carbon and has an activity of 7 decays per second. Determine its age assuming that in living trees the ratio of (14C12C)(14C12C) atoms is about 1.30×10−121.30×10−12. Note that the half life of carbon-14 is 5700 years and the Avogadro number is 6.02×10236.02×1023

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Step 1

The expression for the initial activity,

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Step 2

Substitute the values,

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Step 3

The current acti...

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Physics of Atoms

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