In: Chemistry
The usefulness of radiocarbon dating is limited to objects no older than 50,000 yr. What percent of the carbon−14, originally present in a 4.0−g sample, remains after this period of time? The half-life of carbon−14 is 5.73 × 103 yr.
A:- The half-life of the C-14 = 5.73 * 10^3 years,
The radiocarbon dating is limited to objects no older than 50,000 years
So number of half-lifes = 50,000 / 5.73 * 10^3
= 8.726 half-lifes
Time taken for the consuption of half mass of the given substance, i.e. from 4.0 g to 2.0 g,
The percentage of C-14 present in 4.o g sample = 2^-(8.726) * 100
= 0.236 %