# Carbon 14 dating calculus

*03-Sep-2017 18:28*

In the case of radiocarbon dating, the half-life of carbon 14 is 5,730 years.

This half life is a relatively small number, which means that carbon 14 dating is not particularly helpful for very recent deaths and deaths more than 50,000 years ago.

Where t is the age of the fossil (or the date of death) and ln() is the natural logarithm function.

If the fossil has 35% of its carbon 14 still, then we can substitute values into our equation.

When finding the age of an organic organism we need to consider the half-life of carbon 14 as well as the rate of decay, which is –0.693.

The question is a paleontologist discovers remains of animals that appear to have died at the onset of the Holocene ice age, between 1000 years ago. Libby invented carbon dating for which he received the Nobel Prize in chemistry in 1960.The halflife of carbon 14 is 5730 ± 30 years, and the method of dating lies in trying to determine how much carbon 14 (the radioactive isotope of carbon) is present in the artifact and comparing it to levels currently present in the atmosphere.Carbon is naturally in all living organisms and is replenished in the tissues by eating other organisms or by breathing air that contains carbon.

At any particular time all living organisms have approximately the same ratio of carbon 12 to carbon 14 in their tissues.

When an organism dies it ceases to replenish carbon in its tissues and the decay of carbon 14 to nitrogen 14 changes the ratio of carbon 12 to carbon 14.