m(t)=100e−0.000121t. With this formula, we can calculate the amount m of carbon-14 over the years. Every year, the mass m of carbon-14 is multiplied by e−0.000121≈0.999879. After 100 years, 98.7973 nanograms still remain.

Carbon 14 is a common form of carbon which decays over time. The amount of Carbon 14 contained in a preserved plant is modeled by the equation f(t) = 10e^{-ct}.

## How much carbon-14 is in a living tree?

Problem #43: The C-14 content of an ancient piece of wood was found to have three tenths of that in living trees (indicating 70% of the C-14 had decayed). How old is that piece of wood? Problem #44: Carbon-14 is used to determine the age of ancient objects.

## How does carbon-14 method work?

The basis of radiocarbon dating is simple: all living things absorb carbon from the atmosphere and food sources around them, including a certain amount of natural, radioactive carbon-14. When the plant or animal dies, they stop absorbing, but the radioactive carbon that theyve accumulated continues to decay.

## How do you calculate the half life of carbon-14?

0:111:23Calculating half life using carbon-14 - YouTubeYouTubeStart of suggested clipEnd of suggested clipInto nitrogen-14. And that takes 5,700 years 50% of the isotope is left in the next half life halfMoreInto nitrogen-14. And that takes 5,700 years 50% of the isotope is left in the next half life half of that isotope will decay. That takes 11,400 years and 25% of the original. Isotope.