Radiocarbon Dating: % of C-14 Remaining in 41,000 Yr Sample

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In a 41,000-year-old sample, the percentage of original carbon-14 remaining can be calculated using its half-life of approximately 5,700 years. The initial amount of carbon-14 (N_0) is 100%. To find the remaining percentage (N), the formula N/N_0 = (1/2)^(t/half-life) is applied, where t is the age of the sample. After calculating, it is determined that only a small fraction of carbon-14 remains after 41,000 years. This highlights the limitations of radiocarbon dating for very old samples.
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Homework Statement


The practical limit to ages that can be determined by radiocarbon dating is about 41000 yr. in a 41000 yr old sample, what percentage of the original carbon-14 remains?

Homework Equations



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The Attempt at a Solution


I don't know where to start...
 
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Look at the variables in that equation. Which of them do you know, or can find out? And which represent the thing you're trying to find?
 
diazona said:
Look at the variables in that equation. Which of them do you know, or can find out? And which represent the thing you're trying to find?

I think t=41000, N/No is what i need?
But how do you determine the half life?
 
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Look it up. I think you should find something like 5700 years.
 
N_0 is the initial percentage of carbon-14, so it would be 100. So we need to find what percentage remains.
 
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I see,ty!
 
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