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25 October, 22:52

A moon rock collected by a U. S. Apollo mission is estimated to be 4.20 billion years old by uranium/lead dating. Assuming that the rock did not contain any lead when it was formed, what is the current mass of 206Pb per 1.305 g of 238U in the rock? The half-life of 238U is t1/2 = 4.47 * 109 years.

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  1. 25 October, 23:01
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    We are given

    4.20 billion yea old sample

    1.305 g 238U

    half life of 238U = 4.47 * 109 years

    We are asked to get the mass of 206Pb

    Assuming that 238U decays only to 206P, then

    m = 1.305 (1/2) ^ (4.20x109 / 4.47x109)

    Then, solve for m.
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