Share this: Math Central - mathcentral. Problem 2- Calculate the age of a fossil. Diagram of the formation of carbon forwardthe decay of carbon reverse. The two solutions provided differ slightly in their approach in this regard. We could use this integral to work out the half life of Carbon as follows:
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Returning to our example of carbon, knowing that the half-life of 14 C is years, we can use this to find the constant, k.
Carbon has a relatively short half-life of 5, years, meaning that the fraction of carbon in a sample is halved over the course of 5, years due to radioactive decay to nitrogen Next Application: Simplifying this expression by canceling the N 0 on both sides of the equation gives. We could use this integral to work out the half life of Carbon as follows: If there is currently one microgram of Carbon 14 remaining in the preserved plant, approximately when did the plant die?