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Analysis of potassium and argon atoms in...

Analysis of potassium and argon atoms in a moon rock sample by a mass spectrometer shows that the ratio of the number of stable `Ar^(40)` atoms present to the number of radioactive `K^(40)` atoms is 7 : 1 . Assume that all the argon were produced by the decay of potassium atoms, with a half-life of `1.25 xx 10^(9)` year. How old is the rock?

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