Answer :

2.42 years half- lives in 14,000 years life period of an organic sample of carbon- 14.

Half-life (t½) is the length of time it takes for a quantity to become half of the value measured at the beginning of the period.

In this question, (t½) for C-14 is 5730 years. The given sample carbon-14 is a radioactive element. This means that half the sample decays after 5730 years and the other half remains unchanged. The number of half-lives of carbon-14 in n years is this ratio of total given life period for which we determined the half lives to the half-life of sample.

Now , we have given sample of 14,000 year then the half lives of carbon-14 in 14,000 year = 14000/5770 = 2.426.

So, there are 2.426 half-lives in 14000 years.

To learn more about Half-life of radioactive atoms, refer:

https://brainly.com/question/27826933

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