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Carbon dating differential equation

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This half life is a relatively small number, which means that carbon 14 dating is not particularly helpful for very recent deaths and deaths more than 50,000 years ago.

SAL: In the last video we saw all sorts of different types of isotopes of atoms experiencing radioactive decay and turning into other atoms or releasing different types of particles.

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Radiocarbon dating (usually referred to simply as carbon-14 dating) is a radiometric dating method.It uses the naturally occurring radioisotope carbon-14 (14C) to estimate the age of carbon-bearing materials up to about 58,000 to 62,000 years old.Carbon has two stable, nonradioactive isotopes: carbon-12 (12C) and carbon-13 (13C).The half-life of a first-order reaction is independent of the concentration of the reactants.This becomes evident when we rearrange the integrated rate law for a first-order reaction (Equation 14.21) to produce the following equation: This plot shows the concentration of the reactant in a first-order reaction as a function of time and identifies a series of half-lives, intervals in which the reactant concentration decreases by a factor of 2.The stable form of carbon is carbon 12 and the radioactive isotope carbon 14 decays over time into nitrogen 14 and other particles.