By observing how much decays in a few days, or in a year, and extrapolating.
6.5 half-lives.
5,730 years
To complete 4 half lives, it would take 4 multiplied by the half-life of carbon-14. The half-life of carbon-14 is about 5,730 years, so it would take approximately 22,920 years for radioactive carbon-14 to complete 4 half lives.
Since the radioactive decay of 14C is first order, one can use the equation offraction remaining = 0.5^n where n is the number of half lives. 28650yr/5730 yr = 5 half lives. Thus..fraction remaining = 0.5^5 = 0.03125 or 3.125% would be remaining.
The half life of C-14 is about 5730 years and 12.5% is 100% x (.5)^3 so 3 half lives of the C-14 have occured. Now all you do is multiply 5730 years by 3 and get 17190 years. That's pretty old!
6.5 half-lives.
The half-life of carbon-14 is approximately 5730 years. This means that after 5730 years, half of the original carbon-14 sample will have decayed. After another 5730 years (totaling 11,460 years), half of the remaining carbon-14 will decay.
The half-life of carbon 14 is 5,730 years.
The ratio of radioactive carbon-14 in the old sample to the current sample is 1:8, suggesting 3 half-lives have passed. Since each half-life is 5730 years, the age of the old sample would be approximately 17190 years.
The half-life is 5730. This is because the half-life is the amount of time it takes for half of a sample to decay. In this case, the sample is 100 atoms, and half of 100 is 50, so the amount of time it takes the sample to reach 50 atoms is it's half life...5730!
The half life of C 14 is 5730 years. After a few half lives its useless.
Given that the carbon-14 activity of the ancient wood is one quarter of the new wood, it means the ancient wood has undergone two half-lives (since 1/4 is 2^(-2)). Therefore, the age of the ancient wood would be 2 half-lives multiplied by the half-life of carbon-14 (5730 years), resulting in an age of 11,460 years.
It will take two half-lives for the number of carbon-14 nuclei to drop to a quarter of the original number. Since the half-life of carbon-14 is 5730 years, it will take 2 * 5730 years = 11460 years for this to occur.
5730 years (approx).
22900
2 Half-Lifes= 1/4 Carbon 14 remaining. So 2 half lives have past. You add the 5730 years together to get 11460 years or 1.15*10^4 years.
The half-life of carbon-14 is 5 730 years.