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To understand decay in terms of half-life and to solve radioactive dating problems. Suppose a radioactive sample initially contains unstable nuclei.
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These nuclei will decay into stable nuclei, and as they do, the number of unstable nuclei that remain,will decrease with time. Although there is no way for us to predict exactly when any one nucleus will decay, we can write down an expression for the total number of unstable nuclei that remain after a time:.
Note that at, the original number of unstable nuclei. The decay of radioactive nuclei can be used to measure the age of artifacts, fossils, and rocks. Dating an organic artifact entails looking at its carbon content.
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Carbon exists in three isotopic forms: Both and are stable, whereas is radioactive. To find the age of an organic artifact, you measure how much is found within it today [i.
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Knowing that the half-life of isyou can use the decay equation to find out how old the artifact is. To understand decay in terms of half-life and to solve radioactive dating problems Although there is no way for us to predict exactly when any one nucleus will decay, we can write down an expression for the total number of unstable nuclei that remain after a time: Since at, and at, there must be some time between zero and infinity at which exactly half of the original number of nuclei remain.
Find an expression for this time.
How many nuclei are left after a time? If a sample shows only one-fourth of its estimated original quantity ofhow old is it?
Think about half-lives; don't try to just plug into the decay equation. This has to do with figuring out the age of ancient things. The primary carbon-containing compound in the atmosphere is carbon dioxide, and a very small amount of carbon dioxide contains C And that occurs at 10 half-lives.
Think about half-lives; don't try to just plug into the decay equation. You shouldn't need to plug into it at all for this problem. Get this answer with Chegg Study View this answer. Need an extra hand?
Understand how decay and half life work. To understand decay in terms of half-life and to solve radioactive dating problems. Related Questions Radioactive dating, half-life question? Are you sure you want to delete this answer? Radioactivity refers to the particles which in terms of their halflives, and the halflife of a given nuclear makes possible radioactive dating.
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