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The half-life of carbon-14 is 5730 years. How long will it take for the number of carbon-14 nuclei in a sample to drop to a quarter of the original number?
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.
How many half-lives have elapsed to yield a sample with 125 atoms of C-14 and 375 atoms of N-14?
To determine the number of half-lives that have elapsed, we first find the total number of atoms in the sample, which is 500 (125 + 375). The starting atom would have been from 250 atoms of C-14. To find the number of half-lives elapsed, we divide the total number of atoms by the starting amount (500/250). This gives us 2 half-lives that have elapsed.
A carbon-14 sample starts with 100 atoms and5730 years later there are 50 atoms what is the half life of carbon 14?
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!
Would any radioactive material remain after 10 half lives?
Yes. Well it depends on how much you start with. Numerically the exponential decay curve approaches zero without touching it, but in reality, matter is composed of elemental particles. Consider that at the end of 10 half lives, you had a single atom of Carbon14. So at 9 half lives, there should be 2 Carbon14 atoms. If you keep going, then at the start, you had 1024 atoms. And that is a teeny tiny amount. To put in perspective, if you have one mole of Carbon 14 (that is 14 grams) But there are 6.023 x 10^23 atoms. It would take 79 half-lives to get down to just a single atom of Carbon 14. In reality, it is a little more complex than this, but this should put it in perspective.
The half life of cobalt 60 is 5.3 years After years 14 of the original amount of cobalt 60 will remain?
After 14 years, 1/16th of the original amount of cobalt-60 will remain, because 14 years is equivalent to 2.64 half-lives of cobalt-60 (14 years / 5.3 years/half-life). Each half-life reduces the amount of cobalt-60 by half, so after 2.64 half-lives, the original amount will be reduced to 1/2^2.64 which is approximately 1/16th.
The carbon 14 activity of a piece of ancient wood is one quarter of the new wood what is the age of the ancient wood if the half life of carbon-14 is 5730 years?
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.
How much time has passed if carbon -14 has a half life of 5730 years and 2 half lives have passed?
By observing how much decays in a few days, or in a year, and extrapolating.
What percent of carbon14 is left after 5 half-lives?
After 5 half-lives, 3.125% of the original carbon-14 would remain. Each half-life reduces the amount by half, so after 5 half-lives, it would be reduced by a factor of 2^5 = 32.
Carbon 14 has a half life of 5730 In a plant fossil you find that this has decayed to a quarter of the original amount How long ago was this plant alive?
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.
What are the release dates for Roswell - 1999 How the Other Half Lives 2-14?
Roswell - 1999 How the Other Half Lives 2-14 was released on: USA: 19 February 2001 Japan: 9 March 2002 Hungary: 15 June 2009
How long would it take a 1 kilogram mass of carbon-14 to completely change into nitrogen-14?
The way the half-life works is that after one half-life (about 5000 years in the case of C-14), half the substance is gone (in this case, converted into nitrogen); only half the C-14 is left. After 2 half-lives, 1/4 of the original amount remains; after 3 half-lives only 1/8, etc. After about 20 half-lives such a small amount remains (about a millionth of the original amount) that for all practical purposes, all was converted. However, you can't know in advance when exactly the last atom converts, because for individual atoms, the time of the decay is random.
Why does carbon-14 not use for a index fossil?
Carbon-14 dating is not normally used to date fossils as it is only accurate for the past 60,000 years and most fossils are much older. It is mainly used by archaeologists for dating bones and wood from historical sites.
How old would the turtle be if it only had 6.25 percent of the carbon 14 that a living turtle had today?
The half life of carbon 14 is 5730 years. If the turtle has 6.25 the carbon 14 of a modern turtle, assuming that the ancient turtle had the same amount of C14 as the modern turtle when the ancient turtle died, the ancient turtle died at around 4 half lives of C14 ago. ln(.0625)/ln(.5)=4. So the turtle died approximately 22920 years ago Start with 100 percent of the C14. 100 Every time a half life passes, the amount of C14 is reduced by half. so 100*(1/2)^x x is the number of half lives that have passed. 100*(1/2)^4 = 6.25
The half-life of carbon-14 is 5730 years. How long will it take for the number of carbon-14 nuclei in a sample to drop to a quarter of the original number?
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.
How many half-lives have elapsed to yield a sample with 125 atoms of C-14 and 375 atoms of N-14?
To determine the number of half-lives that have elapsed, we first find the total number of atoms in the sample, which is 500 (125 + 375). The starting atom would have been from 250 atoms of C-14. To find the number of half-lives elapsed, we divide the total number of atoms by the starting amount (500/250). This gives us 2 half-lives that have elapsed.
Suppose that you measure the intensity of radiation from carbon-14 in an ancient piece of wood to be 20 of what it would be in a freshly cut piece of wood How old is this artifact?
We have to see what fraction 6% represents. Start dividing 100% by two and see what percent we get after each half life. After 1 half life we have 50%, after 2 we have 25%, after 3 we have 12.5% and after 4 we have 6.25%. So about 4 half lives. Carbon-14 has a half life of 5730 years, so the wood is 4 x 5730 or 22,920 years
Method used to find the age of an organism using the decay of carbon-14?
The assumption is that organisms start out with a certain percentage of C-14 - which they get from the atmosphere. The C-14 in the atmosphere is replenished through radiations from outer space. Once the organism dies, it will no longer exchange carbon with the outside world - the percentage of C-14 will gradually decrease. If only half the C-14 is found - compared to a living organism - it is assumed that the organism was dead for one half-life of C-14 - about 5730 years. If one-quarter of the normal amount of C-14 is found, it is assumed that the organism was dead for two half-lives (2 x 5730 years), etc. For amounts in between, an exponential formula is used to relate the percentage of remaining C-14 with the age.
