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Half Life and Average Life

Potassium-Arg...

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Potassium-Argon dating

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Potassium-argon dating is the method of radiometric dating which is based on the decay of potassium-40 isotope to argon-40 isotope. In this method , the time of origin of rocks was determined by calculating the ratio of radioactive argon to the radioactive potassium in the rock.

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Q. Potassium-argon dating can determine the age of the fossils

Q. Match the radioisotopes with their applications from the alternates given.

Radioisotopes	Applications
I. Cobalt-60	1. Leukemia therapy
II. Potassium-40	2. Thyroid therapy
III. Iodine-123	3. Geological dating
IV. Phosphorus-32	4. Cancer therapy
V. Carbon-14	5. Archaeological dating

_{1} 9 K^{4} 0

isotope of potassium has a half life of

1.37 \times 10^{9}

years and decays to an isotope of argon which is stable in a particular sample of moon rock, the ratio of potassium atoms to argon atoms was found to be

1 : 7

. The age of the rock, assuming that originally there was no argon present is

^{40} K

isotope of potassium has a half life of

1.37 \times 10^{9}

years and decays to an isotope of argon which is stable. In a particular sample of moon rock, the ratio of potassium atoms to argon atoms was found to be

1 : 7

. The age of the rock, assuming that originally there was no argon present, is

_{19}^{49} K

isotope of potassium has a half-life of

1.4 \times 10^{9}

yr and decays to form stable argon,

_{18}^{40} A r

. A sample of rock has been taken which contains both potassium and argon in the ratio

1 : 7

\frac{Number of potassium-40 atoms}{Number of argon-40 atoms} = \frac{1}{7}

Assuming that when the rock was formed no argon-40 was present in the sample and none has escaped subsequently, determine the age of the rock

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