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Carbon dating decay rate

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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. Carbon is naturally in all living organisms and is replenished in the tissues by eating other organisms or by breathing air that contains carbon. At any particular time all living organisms have approximately the same ratio of carbon 12 to carbon 14 in their tissues. 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
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20.6: The Kinetics of Radioactive Decay and Radiometric Dating

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The Kinetics of Radioactive Decay and Radiometric Dating - Chemistry LibreTexts

The following tools can generate any one of the values from the other three in the half-life formula for a substance undergoing decay to decrease by half. Half-life is defined as the amount of time it takes a given quantity to decrease to half of its initial value. The term is most commonly used in relation to atoms undergoing radioactive decay, but can be used to describe other types of decay, whether exponential or not. One of the most well-known applications of half-life is carbon dating. The half-life of carbon is approximately 5, years, and it can be reliably used to measure dates up to around 50, years ago. The process of carbon dating was developed by William Libby, and is based on the fact that carbon is constantly being made in the atmosphere. It is incorporated into plants through photosynthesis, and then into animals when they consume plants.
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10.4: Radioactive Decay

When we speak of the element Carbon, we most often refer to the most naturally abundant stable isotope 12 C. Although 12 C is definitely essential to life, its unstable sister isotope 14 C has become of extreme importance to the science world. Radiocarbon dating is the process of determining the age of a sample by examining the amount of 14 C remaining against its known half-life, 5, years.
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