(Carbon-14 Dating Model) Natural Carbon-14 has a half-life of
CHEMISTRY · Multi-part · US High School · Chemistry · Atomic Structure & Nuclear · Atomic Structure & Nuclear
Problem
(Carbon-14 Dating Model)
Natural Carbon-14 has a half-life of 5,730 years. A freshly obtained sample is assumed to have an initial activity proportional to N0 atoms of Carbon-14.
(i) Calculate the decay constant λ of Carbon-14, giving your answer correct to four significant figures.
(ii) Determine the percentage of the original Carbon-14 atoms that will remain after 17,190 years.
(iii) How many years (to the nearest year) will it take for the number of Carbon-14 atoms in the sample to fall to one-fifth of its initial value?