Radioactive dating word problems
There is a tremendous range in the half-lives of various nuclides, from as short as s for the most unstable, to more than y for the least unstable, or about 46 orders of magnitude.Nuclides with the shortest half-lives are those for which the nuclear forces are least attractive, an indication of the extent to which the nuclear force can depend on the particular combination of neutrons and protons.In this section we explore half-life and activity, the quantitative terms for lifetime and rate of decay. Half of the remaining nuclei decay in the next half-life.Further, half of that amount decays in the following half-life.By comparing the abundance of in an artifact, such as mummy wrappings, with the normal abundance in living tissue, it is possible to determine the artifact’s age (or time since death).Carbon-14 dating can be used for biological tissues as old as 50 or 60 thousand years, but is most accurate for younger samples, since the abundance of nuclei in them is greater. There are instances in which the date of an artifact can be determined by other means, such as historical knowledge or tree-ring counting.It is incorporated into plants through photosynthesis, and then into animals when they consume plants.
For example, if ten half-lives have passed, we divide by 2 ten times. For an arbitrary time, not just a multiple of the half-life, the exponential relationship must be used. Carbon-14 has a half-life of 5730 years and is produced in a nuclear reaction induced when solar neutrinos strike in the atmosphere.The half-life of carbon-14 is approximately 5,730 years, and it can be reliably used to measure dates up to around 50,000 years ago.