An old wooden tool is found with 20 percent of ¹4℃ when compared to fresh wood.Estimate the age of the old tool.

Unstable nuclei will decay into stable ones. This process is called radioactive decay. This process…

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An old wooden tool is found with 20 percent of ¹4C when compared to fresh wood. Estimate the age of the old tool.

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Question

An old wooden tool is found with 20 percent of ¹4℃ when compared to fresh wood.
Estimate the age of the old tool.

Expert Solution

Concept and Principle:

Unstable nuclei will decay into stable ones. This process is called radioactive decay. This process can be used to calculate the age of organic compounds.

Radiocarbon dating is a method for determining the age of an object containing organic material by using the properties of radiocarbon, a radioactive isotope of carbon.

Radioactive decay is exponential in nature and can be written as,

$N = N_{0} e^{- 0 .693 (\frac{t}{t_{\frac{1}{2}}})}$

Here N₀ is the original number of radioactive nuclei present, t is the time, and t_1/2 is the half-life of the radioactive sample. This is known as the exponential law of radioactive decay.

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