The amount of carbon-14 remaining in an organism, a, is equal to the product of the initial amount of carbon-14 in the organism, a0, and one-half to the power of n, where n is the number of half-lives the organism has experienced. if a frog initially contained 8 grams of carbon-14 and the half-life of carbon-14 is 5,730 years, how much carbon-14 remains in the frog after 11,460 years?

Question

Frank

Mathematics

8 August, 04:43

The amount of carbon-14 remaining in an organism, a, is equal to the product of the initial amount of carbon-14 in the organism, a0, and one-half to the power of n, where n is the number of half-lives the organism has experienced. if a frog initially contained 8 grams of carbon-14 and the half-life of carbon-14 is 5,730 years, how much carbon-14 remains in the frog after 11,460 years?

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Raul Carter · Answer 1

Carbon 14 half-life = 5,730 years

11,460 years / 5,730 = exactly 2 half-lives.

So, after 11,460 years there is 1/4 of the original 8 grams.

Therefore, 2 grams will remain.