Radioactivity

Half-Life - Measuring the Age of Rocks and Archaeological Specimens.

The half-life of a radioisotope can be used to measure the age of things.
The method is called radiodating.

Some rocks contain uranium-238 which is radioactive
and follows a decay series until it produces a stable isotope of lead.
The amount of uranium in the rock is compared to the amount of lead
and then the age of the rock can be calculated.

For example,
it is found that there are equal amounts of uranium and lead in a rock.
The half-life of uranium-238 is 4·5 billion years.
After
4·5 billion years half of the uranium originally present in the rock
would have decayed and become lead.
The proportion of uranium to lead would be 1 to 1 (equal amounts).
The rock could therefore be dated as 4·5 billion years old.
This method can only be used if you are sure that
there was no lead originally present in the rock,
and that all the lead has come from the decay of uranium.

Some rocks contain the radioisotope potassium-40 which decays
to form the stable isotope of argon-40.
If the argon gas is unable to escape from the rock,
then the proportions of potassium-40 to argon-40 can be used to date the rock.

For example,
it is found that there is three times as much argon-40 as potassium-40 in a rock.
The half-life of potassium-40 is 1·3 billion years.
After 2 half-lives there is three times as much argon-40 as potassium-40
in the rock, (see below).
The rock could therefore be dated as 2 x 1·3 billion years
= 2·6 billion years old.

Calculate Half-Life of Rock

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