An archaeologist wishes to estimate the age of an organic artefact using radioactive…

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

Problem

An archaeologist wishes to estimate the age of an organic artefact using radioactive methods. (i) Define the term half-life of a radioactive isotope. (ii) Explain qualitatively how comparison of the present activity of 14C^{14}\text{C} in the artefact with the activity in living matter permits an estimate of its age. (iii) Potassium-40 has a half-life of 1.25×109 y1.25\times10^{9}\,\text{y} whereas Carbon-14 has a half-life of 5.73×103 y5.73\times10^{3}\,\text{y}. Which of these isotopes is more suitable for dating (a) an Iron Age wooden tool believed to be 30003000 years old, and (b) a volcanic rock believed to be 7070 million years old? Give reason for each choice.

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