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 4 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?
@sangya21

Answer 1

@sammixboo

Answer 2

\[A = A_0 * (1/2)^n\]
\[A = 4 * (1/2)^2\]
\[A_0 = \space intial \space amount\space of \space carbon\]
\[n = \space no. \space of\space half-life \space of \space carbon\]
n = 11460/5730 = 2
\[A = 4 * (1/2)^2\]
\[A = 4 * (1/4)\]
\[A = 1 \space grams\]