Potassium 40 has a half-life of 1.28 × 10⁹ years. K-40 decays to only Ar-40 which is stable. No other radioactive element decays to produce Ar-40. A solid rock formed from molten magma. Recall gases have very low solubility of gases at high temperatures. So we assume that the initial amount of Ar-40 in the sample was zero. A sample of the rock has 0.145 milli moles of K-40, and 0.123 milli moles of Ar-40. How many years ago did this rock form?

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Chapter10: Radioactivity And Nuclear Processes
Section: Chapter Questions
Problem 10.83E
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Nitesh

Potassium 40 has a half-life of 1.28 x 10⁹
years. K-40 decays to only Ar-40 which is
stable. No other radioactive element decays
to produce Ar-40. A solid rock formed from
molten magma. Recall gases have very low
solubility of gases at high temperatures. So
we assume that the initial amount of Ar-40 in
the sample was zero. A sample of the rock
has 0.145 milli moles of K-40, and 0.123 milli
moles of Ar-40. How many years ago did this
rock form?
Transcribed Image Text:Potassium 40 has a half-life of 1.28 x 10⁹ years. K-40 decays to only Ar-40 which is stable. No other radioactive element decays to produce Ar-40. A solid rock formed from molten magma. Recall gases have very low solubility of gases at high temperatures. So we assume that the initial amount of Ar-40 in the sample was zero. A sample of the rock has 0.145 milli moles of K-40, and 0.123 milli moles of Ar-40. How many years ago did this rock form?
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