The activity of a fossil bone is measured to be of carbon

CHEMISTRY · Subjective · US High School · Chemistry · Atomic Structure & Nuclear · Atomic Structure & Nuclear

Problem

The activity of a fossil bone is measured to be 9.0 disintegrations  min−1 g−19.0\,\text{disintegrations}\;\text{min}^{-1}\,\text{g}^{-1} of carbon, whereas freshly living bone shows 18.0 disintegrations  min−1 g−118.0\,\text{disintegrations}\;\text{min}^{-1}\,\text{g}^{-1}. Assuming a half-life of 5730 yr5730\,\text{yr} for 14C^{14}\text C, determine the age of the fossil bone.

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