The kerosene is purified by removing pollutants, using a clay filter. A population of bacteria doubles every hour. Given the half-life, find the decay rate. Carbon 14 Dating Archaeologists use the exponential, radioactive decay of carbon 14 to estimate the death dates of organic material. After 5, years, the amount of carbon 14 left in the body is half of the original amount. 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.

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

## Carbon 14 dating

The order of magnitude is the power of ten, when the number is expressed in scientific notation, with one digit to the left of the decimal. Such phenomena as wildlife populations, financial investments, biological samples, and natural resources may exhibit growth based on a doubling time. One of the common terms associated with exponential decay, as stated above, is half-lifethe length of time it takes an exponentially decaying quantity to decrease to half its original amount. In the case of radiocarbon dating, the half-life of carbon 14 is 5, years. Solution This formula is derived as follows.

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