USING RADIOISOTOPES TO DATE ROCKS

Dating Rocks using Uranium Decay 

The picture below shows how radioactive Uranium-238 atoms decay in a series of seven steps to stable lead atoms.

Uranium isotopes decay extremely slowly (long half-life) to stable isotopes of lead.

Uranium-235 has a half-life of 700 million years.

Uranium-238 has a half-life of 4.4 billion years.

The relative amounts of Uranium and lead in an igneous rock can therefore be used to estimate the age of the rock.

Table showing the relative amounts of Uranium-238 and stable lead over time.

 

Time = Zero

After 1 Half-life

After 2 Half-lives

After 3 Half-lives

Amount of Uranium-238

100 %

50 %

25 %

12.5 %

Amount of Stable Lead

0 %

50 %

75 %

87.5 %

Ratio of Uranium : Lead

1 : 0

1 : 1

1 : 3

1 : 7

If a specimen of rock is found to have a ratio of Uranium to lead of 1 : 3 it means that a time of two half-lives of Uranium-238 have elapsed since the rock's formation.

The age of the rock would therefore be 2 x 4.4 billion years = 8.8 billion years old.

The decay of the radioisotope Potassium-40 can be used to date rocks. Potassium-40 decays into Argon-40, which is a stable gas. To get an accurate result, however, no argon-40 gas must escape from the rock in the years following its formation.

Dating Materials using Carbon Decay

The picture below shows the cycle of the radioisotope carbon-14.

Carbon-14 has a half-life of 5730 years. It is found in all living material.

When a plant, animal or human dies the Carbon-14 inside decays.

By finding the ratio of Carbon-14 to stable Nitrogen-14 in a dead plant, animal or human the age of the specimen can be calculated.

Using the decay of Carbon-14 the Shroud of Turin (pictured below) was estimated to be only 600 years old. It could not have been the shroud that covered Jesus Christ.

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