We’re being asked to **determine the nuclide that produces the greater radiation** given the half-life of Nuclide A and Nuclide B.

Recall that ** half-life** is the time needed for the amount of a reactant to decrease by 50% or one-half.

**Radioactive/nuclear decay of isotopes** follows first-order kinetics. The **half-life of a first-order reaction** is given by:

$\overline{){{\mathbf{t}}}_{\mathbf{1}\mathbf{/}\mathbf{2}}{\mathbf{=}}\frac{\mathbf{ln}\mathbf{}\mathbf{2}}{\mathbf{k}}}$

Suppose a person ingests equal amounts of two nuclides, both of which are beta emitters (of roughly equal energy). Nuclide A has a half-life of 8.5 hours and Nuclide B has a half-life of 15.0 hours. Both nuclides are eliminated from the body within 24 hours of ingestion. Which of the two nuclides produces the greater radiation dose?

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