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Chemical Kinetics and Nuclear Chemistry question

2020 · Shift 1 · Q17
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Chemical Kinetics and Nuclear Chemistry question

2020 · Shift 1 · Q17

JEE AdvancedChemistryChemical Kinetics and Nuclear ChemistryNumerical+4 / −1
92238U{}_{92}^{238}U92238​U is known to undergo radioactive decay to form 82206Pb{}_{82}^{206}Pb82206​Pb by emitting alpha and beta particles. A rock initially contained 68 ×\times× 10 −-− 6 g of 92238U{}_{92}^{238}U92238​U. If the number of alpha particles that it would emit during its radioactive decay of 92238U{}_{92}^{238}U92238​U to 82206Pb{}_{82}^{206}Pb82206​Pb in three half-lives is Z ×\times× 1018, then what is the value of Z?
Numerical answer
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