# Carbon dating practice questions

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.The resulting data, in the form of a calibration curve, is now used to convert a given measurement of radiocarbon in a sample into an estimate of the sample's calendar age.Other corrections must be made to account for the proportion of throughout the biosphere (reservoir effects).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.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.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 method was developed by Willard Libby in the late 1940s and soon became a standard tool for archaeologists.

The idea behind radiocarbon dating is straightforward, but years of work were required to develop the technique to the point where accurate dates could be obtained.

Research has been ongoing since the 1960s to determine what the proportion of in the atmosphere has been over the past fifty thousand years.

After 5,730 years, the amount of carbon 14 left in the body is half of the original amount.

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.

For example, two samples taken from the tombs of two Egyptian kings, Zoser and Sneferu, independently dated to 2625 BC plus or minus 75 years, were dated by radiocarbon measurement to an average of 2800 BC plus or minus 250 years. Carbon dioxide produced in this way diffuses in the atmosphere, is dissolved in the ocean, and is taken up by plants via photosynthesis.