Archaeologists use the exponential, radioactive decay of carbon 14 to estimate the death dates of organic material.The stable form of carbon is carbon 12 and the radioactive isotope carbon 14 decays over time into nitrogen 14 and other particles.
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Carbon-14 Dating An exponential decay function can be used to model the number of atoms of a radioactive material that remain after a period of time.
Carbon-14 decays over time, with the amount remaining after t years given by y = y0e^-0.00012097t Where y0 is the original amount. If a sample of carbon-14 weighs 100 grams originally, how many grams will be present in 5000 years? If a sample of wood at an archaeological site contains 36% as much carbon-14 as living wood, determine when the wood was cut.
When an organism dies it ceases to replenish carbon in its tissues and the decay of carbon 14 to nitrogen 14 changes the ratio of carbon 12 to carbon 14.
Experts can compare the ratio of carbon 12 to carbon 14 in dead material to the ratio when the organism was alive to estimate the date of its death.
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