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For example, suppose you have N₀ grams of a radioactive isotope that has a half-life of t * years. Then we know that after one half-life (or t * years later), you will have

Returning to our example of carbon, knowing that the half-life of 14 C is 5700 years, we can use this to find the constant, k. That is when t = 5700, there is half the initial amount of 14 C. Of course the initial amount of 14 C is the amount of 14 C when t = 0 , or N₀ (i.e. N(0) = N₀e k?0 = N₀e 0 = N₀). Thus, we can write:

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Brand new half of-existence to possess fourteen C is roughly 5700 decades, in addition to fourteen C isotope is just used for relationship fossils doing regarding the fifty,000 years old. Fossils avove the age of 50,100 decades ount out-of fourteen C. Having older fossils, a keen isotope which have a longer half of-lifetime might be utilized. Such as for instance, the fresh new radioactive isotope potassium-40 decays in order to argon-40 which have a half-life of just one.3 million ages. Other nudist chat room isotopes commonly used to own relationships are uranium-238 (half-longevity of 4.5 million years) and you will thorium-232 (half-existence 14.step 1 million ages).

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