Calculate the number of nuclei of carbon -14 undecayed after 22,920 years if the initial number of carbon - 14 atoms is 10, 000. The half- life of carbon-14 is 5730 years.

Explanation

To get the time interval in terms of half-life, n = `(t)/(T_(1/2)) = (22,920 yr)/(5730 yr) = 4`
The number of nuclei remaining undecayed after 22,920 yeras,
`N = ((1)/(2))^(n) N_(0) = ((1)/(2))^(4) xx 10,000 Rightarrow N = 625`