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The formula for the fraction remaining is one-half raised to the power given by the number of years divided by the half-life (in other words raised to a power equal to the number of half-lives).
If we knew the fraction of a radioactive element still remaining in a mineral, it would be a simple matter to calculate its age by the formula To determine the fraction still remaining, we must know both the amount now present and also the amount present when the mineral was formed.
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Scientists find the ratio of parent isotope to daughter isotope.The number of protons in the nucleus of an atom is called its atomic number.The sum of protons plus neutrons is the mass number.In old rocks, there will be less potassium present than was required to form the mineral, because some of it has been transmuted to argon.
The decrease in the amount of potassium required to form the original mineral has consistently confirmed the age as determined by the amount of argon formed.Because argon is an inert gas, it is not possible that it might have been in the mineral when it was first formed from molten magma.
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