Question

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?

Answer 1

The initial number of carbon-14 atoms in the organism at death is .

-500

After 11,460 years, there will be carbon-14 atoms in the organism.

-125

After years, there will be 24.298 carbon-14 atoms in the organism.

-25,000

Explanation:

Answer 2

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.