Calculate % of Carbon Decay in Ancient Organic Material | Physics Problem 18"

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Homework Help Overview

The discussion revolves around estimating the percentage of carbon-14 decay in a sample of ancient organic material, specifically a sample containing 19 g of carbon believed to be approximately 22,922 years old.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relevance of the half-life of carbon-14 and how it relates to the age of the sample. There is an exploration of the mathematical relationship between time and decay percentage, including how to calculate the remaining carbon-14 based on the number of half-lives that fit into the given age.

Discussion Status

Some participants have provided guidance on how to approach the problem using the concept of half-lives, while others have expressed their findings. There is a mix of interpretations regarding the results, with one participant indicating they have arrived at a numerical answer.

Contextual Notes

There is a note of potential confusion regarding the units of the final answer, as one participant initially referred to "degrees" instead of "percent." This highlights the importance of clarity in the context of the problem.

mustang
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Problem 18. A sample of organic material is found to contain 19 g of carbon. Based on samples of pottery found at the site, investigators believe the material is about 22922 years old.
Estimate what percentage of the material's carbon-14 has decayed. Answer in units of %.
Note; How do you do this problem?
 
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The first thing you do is look up the "half-life" of carbon-14. It's probably in your textbook, I'll call it "H" here. If T= H, then 1/2 or 50% of the carbon-14 has decayed. If T= 2H, then (1/2)2= 1/4 is left so 3/4 has decayed. If T= 3H, then (1/2)3 has decayed. How many times does the half-life of carbon 14 divide into 22922? (include decimal places). What is 1/2 to that power? That's how much is left. Once you know that, subtract from 1 to find what part has decayed.
 
I figured it out.

Thanks! I did what you said and got 93.8
degrees.
 
I do hope you meant "percent" rather than "degrees"!
 

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