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Question

Chemistry Question on Nuclear physics

92238U{ }_{92}^{238} U is known to undergo radioactive decay to form 82206Pb{ }_{82}^{206} Pb by emitting alpha and beta particles. A rock initially contained 68×106g68 \times 10^{-6} g of 92238U{ }_{92}{ }^{238} U. If the number of alpha particles that itwould emit during its radioactive decay of 92238U{ }_{92}^{238} U to 82206Pb{ }_{82}{ }^{206} Pb in three half-lives is Z×1018Z \times 10^{18}, then what is the value of ZZ ?

Answer

The value of Z is 1.21