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From the radioactive decay equations, an expression for elapsed time can be developed. The requirement of keeping the same number of nuclei gives and the radioactive decay relationship is The elapsed equation for radioactive dating is then but with the use of the first expression above can be expressed in terms of the present concentrations of the parent and daughter isotopes.
Now suppose that there was an original amount of the daughter element present at the formation time of the sample being studied. This adds an additional unknown in the process, and requires an additional piece of data to permit a solution for elapsed time.
The requirement on the populations is now Fortunately for radioactive dating processes, additional information is available in the form of other isotopes of the elements involved in the radioactive process.
Archaeologists use the exponential, radioactive decay of carbon 14 to estimate has 35% of its carbon 14 still, then we can substitute values into our equation. Archaeologists use the exponential, radioactive decay of carbon 14 to estimate has 35% of its carbon 14 still, then we can substitute values into our equation. Unstable nuclei undergo spontaneous radioactive decay. Substituting ln2≈ into the equation results in the expression for the half-life of.