Carbon-14 has a half-life of 5730 years. The carbon-14 decay rate of a sample obtained from a young tree is 0.260 disintegration per second per gram…

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The carbon-14 decay rate of a sample obtained from a young tree is 0.260 disintegration per second per gram of the sample. Another wood sample prepared from an object recovered at an archaeological excavation gives a decay rate of 0.186 disintegration per second per gram of the sample. What is the age of the object?
please explain solution and provide formula for future reference. thanks

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