An unknown radioactive nuclide X decays to the stable nuclide after experiencing…

CHEMISTRY · Multi-part · US High School · Chemistry · Atomic Structure & Nuclear · Atomic Structure & Nuclear

Problem

An unknown radioactive nuclide X decays to the stable nuclide 82208Pb^{208}_{82}\mathrm{Pb} after experiencing exactly six α-decays and three β⁻-decays (β⁺ emission does not occur). (i) Determine the atomic number Z and mass number A of the original nuclide X. (ii) Write a single balanced nuclear equation that summarises the overall transformation from X to lead-208. (iii) Show, by explicit calculation of A and Z at each stage, that the total number of nucleons is conserved in the process.

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