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. The rate of decay obeys first-order kinetics. It is customary in the study of radioactive decay to write the rate law as rate=kN where k is the first-order rate constant and N the number of 14C nuclei present. The half-life of the decay, t(1/2)=5.73x10^3 year. What is the age of the object?
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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. The rate of decay obeys first-order kinetics. It is customary in the study of radioactive decay to write the rate law as rate=kN where k is the first-order rate constant and N the number of 14C nuclei present. The half-life of the decay, t(1/2)=5.73x10^3 year. What is the age of the object?
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