# Carbon 14 dating calculus

Experts can compare the ratio of carbon 12 to carbon 14 in dead material to the ratio when the organism was alive to estimate the date of its death.Radiocarbon dating can be used on samples of bone, cloth, wood and plant fibers.The stable form of carbon is carbon 12 and the radioactive isotope carbon 14 decays over time into nitrogen 14 and other particles.Carbon is naturally in all living organisms and is replenished in the tissues by eating other organisms or by breathing air that contains carbon.If the amount of carbon 14 is halved every 5,730 years, it will not take very long to reach an amount that is too small to analyze.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.This can be represented as an exponential function if we say that every time I bake cookies my time decreases by 1/5 of the previous time.We can use exponential decay to represent a number of different things.

Let’s say that I can make a dozen cookies in 2 hours.Most importantly, exponential decay is not linear and the decrease is rapid at first, but not constant.It is often used to describe population decreases (or increases, which depicts exponential growth) and can be seen using a graph of an exponential curve.The kerosene is purified by removing pollutants, using a clay filter.Suppose the clay is in a pipe and as the kerosene flows through the pipe, every foot of clay removes 20% of the pollutants, leaving 80%.

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