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how many half-lives have lapsed to yield a sample with 125 atoms of C-14 and 375 atoms of N-14

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2 half-lives have elapsed to yield  125 atom of the original sample

Half of the amount of the radioisotope present at any given time will undergo  spontaneous disintegration during the succeeding 5730 years. In other words , after 5730 years ,only half of the original amount of 14 c remains in a sample of organic material . Imagine  that you start out with 100 grams of carbon 14 . The half -life is the time it takes for half  of given amount of isotope to decay .

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