Question

The amount of carbon-14 (614C^{14}_6 C) in a wooden artifact is measured to be.6.25 percent the amount in a fresh sample of wood from the same region. The half-life of carbon-14 is 5715 years. Assuming the same amount of carbon-14 was initially present in the artifact, determine the age of the artifact.

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Given:

Half-life = T1/2T_{1/2} = 5715 years5715\text{ years} Percentage = N/N0N / N_{0} = 6.25%6.25\%

We are asked to find the age of a wooden artifact. It was found that it only has 6.25%6.25\% of carbon-14 remaining as compared to a present-day sample from the same region.

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