238U decays with a half-life of 4.51 x 109 years, the decay series eventually ending at 206Pb,...

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238U decays with a half-life of 4.51 x 109 years, the decay series eventually ending at 206Pb, which is stable. A rock sample analysis shows that the ratio of the numbers of atoms of 206Pb to 238U is 0.0058. Assuming that all the 206Pb has been produced by the decay of 238U and that all other half-lives in the chain are negligible, calculate the age of the rock sample.

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