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Half of it will decay in about 5730 years to form nitrogen.

Half of the remainder will decay in another 5730 years, and so on.

Suppose we have a tank partly filled with water, and a hole in the bottom through which the water is leaking out of the tank.

We wonder how long the hole has been there, that is, how old the hole is.

Unless these factors are known, the calculated dates will not be reliable.

Cosmic radiation striking the upper atmosphere converts about 21 pounds of nitrogen each year into radiocarbon (carbon-14).

Most carbon-14 quickly combines with oxygen to form radioactive carbon dioxide, which then spreads throughout the atmosphere.

We could measure (a) how much water the tank holds, (b) how much is still in the tank, and (c) the rate at which it is leaking out.

We can calculate the age of the hole by subtracting (b) from (a) to find out how much water has left the tank, and then dividing this by (c), the rate at which it is leaking out.

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