$$ So either the answer is that ridiculously big number (9.17e7) or 30,476 years, being calculated with the equation I provided and the first equation in your answer, respectively. Carbon dating has given archeologists a more accurate method by which they can determine the age of ancient artifacts.One specific example of exponential decay is purified kerosene, used for jet fuel.The kerosene is purified by removing pollutants, using a clay filter.

At any particular time all living organisms have approximately the same ratio of carbon 12 to carbon 14 in their tissues.Radiocarbon dating can be used on samples of bone, cloth, wood and plant fibers.The half-life of a radioactive isotope describes the amount of time that it takes half of the isotope in a sample to decay. 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.The ratio of the amount of 14C to the amount of 12C is essentially constant (approximately 1/10,000).When an organism dies, the amount of 12C present remains unchanged, but the 14C decays at a rate proportional to the amount present with a half-life of approximately 5700 years.