Carbon is naturally in all living organisms and is replenished in the tissues by eating other organisms or by breathing air that contains carbon.
One specific example of exponential decay is purified kerosene, used for jet fuel.
The kerosene is purified by removing pollutants, using a clay filter.
How long does the pipe have to be to ensure that there is only 10% of the pollutants left in the kerosene?
This means that we need a pipe that is 10.3 feet long in order for the pollutants to be reduced to 10% of their starting amount.
Plutonium 239 decays exponentially into lead, but it causes concerns for humans because the tiny particles of plutonium react with oxygen and water and can be extremely flammable.
Since the half-life of Plutonium 239 is so high (even in comparison to the carbon 14 half-life of 5,730 years) humans must be very cautious of the way they dispose of plutonium.
Above is a graph that illustrates the relationship between how much Carbon 14 is left in a sample and how old it is.
Natasha Glydon Exponential decay is a particular form of a very rapid decrease in some quantity.
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.
is the quantity of radioactive material at time zero, X is the amount remaining after time t, and k is the first order rate constant, which is a characteristic of the isotope undergoing decay.