Suppose that 10 units of beryllium are present in a living organism and that the half-life of beryllium is 4.6 million years. Find the age of a fossil if 20% of the original radioactivity is present when the fossil is discovered.

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Chapter19: The Nucleus: A Chemist's View
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Example 6. Fossil dating
Radioactive beryllium is sometimes used to date fossils
found in deep-sea sediment. The amount
of radioactive material x satisfies
dx/dt = kx.
Suppose that 10 units of beryllium are present in a
living organism and that the half-life of beryllium
is 4.6 million years. Find the age of a fossil if 20% of
the original radioactivity is present when the fossil is
discovered.
Transcribed Image Text:Example 6. Fossil dating Radioactive beryllium is sometimes used to date fossils found in deep-sea sediment. The amount of radioactive material x satisfies dx/dt = kx. Suppose that 10 units of beryllium are present in a living organism and that the half-life of beryllium is 4.6 million years. Find the age of a fossil if 20% of the original radioactivity is present when the fossil is discovered.
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