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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New half of-lifestyle for 14 C is approximately 5700 age, and 14 C isotope is used in relationships fossils as much as in the fifty,100000 yrs . old. Fossils avove the age of 50,100000 decades ount off fourteen C. Having more mature fossils, a keen isotope which have a lengthier 50 % of-existence is put. Such as, the radioactive isotope potassium-forty decays in order to argon-forty with a half-life of just one.3 billion age. Other isotopes widely used having matchmaking become uranium-238 (half-longevity of cuatro.5 billion ages) and you can thorium-232 (half-life fourteen.step 1 billion age).
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