ch42-p042 - 42. We label the two isotopes with subscripts 1...

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42. We label the two isotopes with subscripts 1 (for 32 P) and 2 (for 33 P). Initially, 10% of the decays come from 33 P, which implies that the initial rate R 02 = 9 R 01 . Using Eq. 42-17, this means RNR N 01 1 01 02 2 02 1 9 1 9 == = λλ . At time t , we have RR e t 10 1 1 = −λ and e t 20 2 2 = . We seek the value of t for which R 1 = 9 R 2 (which means 90% of the decays arise from
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