If a frog initially contained 2 grams of carbon-14 and the half-life of carbon-14 is 5,730 years, how much carbon-14 remains in the frog after 5,730 years?

Half life is the time taken for a radioactive isotope to decay by half its original mass. In this case the half life of carbon-14 is 5.730 years.

Using the formula;

New mass = original mass * (1/2) ^n; where n is the number of half lives (in this case n=1)

New mass = 2 g * (1/2) ^1

= 1 g

Therefore; the mass of carbon-14 that remains will be 1 g