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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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The new 1 / 2 of-life for fourteen C is roughly 5700 years, plus the fourteen C isotope is useful for matchmaking fossils as much as on the 50,100 years of age. Fossils older than fifty,100 age ount off fourteen C. Getting old fossils, an isotope that have a longer half-existence will likely be utilized. Particularly, new radioactive isotope potassium-40 decays so you can argon-40 having a half life of 1.step 3 million ages. Almost every other isotopes commonly used for relationship were uranium-238 (half-lifetime of 4.5 billion years) and you can thorium-232 (half-existence fourteen.step one million years).
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