Finding the activity of a carbon 14 sample

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SUMMARY

The forum discussion focuses on calculating the activity of a carbon-14 sample, specifically addressing the number of C-14 atoms in a 1g sample. Participants clarify the use of carbon-12's molar mass, noting that using 14 as an approximation is acceptable due to the abundance of carbon-12. The conversation emphasizes the importance of precision in calculations, particularly when determining the activity reduction over time, with one user updating their findings based on previous calculations. The final activity is stated to reduce to 3 disintegrations per minute based on an initial activity of 11.835 disintegrations per minute.

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  • Understanding of carbon-14 dating principles
  • Knowledge of molar mass calculations
  • Familiarity with radioactive decay and activity measurement
  • Basic algebra for weighted averages
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Bolter
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Homework Statement
See full question below
Relevant Equations
A = Lambda*N
Hi there

So I have had a go at this question but I'm not confident that I have done the last 2 parts of this question right?

Screenshot 2020-04-20 at 19.09.53.png


IMG_4644.jpg

IMG_4645.jpg


Can anyone please see if this is what you do to get the values?

Any help would be appreciated! Thanks
 
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Think again about how you calculate the number of C14 atoms in the 1g.
 
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haruspex said:
Think again about how you calculate the number of C14 atoms in the 1g.

Is this what I should get instead?

IMG_4653.jpg

I don't know why I was using 14 as the molar mass of carbon-12
 
Bolter said:
I don't know why I was using 14 as the molar mass of carbon-12

That appears to be a good enough approximation considering the huge excess of carbon-12, good enough for the precision of my calculator, anyway!

If the proportions were less extreme, you'd need to perhaps consider using a weighted mean or else an algebraic expression of some sort for the relative masses.
 
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etotheipi said:
That appears to be a good enough approximation considering the huge excess of carbon-12, good enough for the precision of my calculator, anyway!

If the proportions were less extreme, you'd need to perhaps consider using a weighted mean or else an algebraic expression of some sort for the relative masses.

Thanks I understand, and notably this means my answer will be affected for part e) as part e) relies on part d)

I changed it now and found the time that the activity will reduce to 3 disintegrations per min assuming 11.835... is the initial activity in disintegrations per min

IMG_4658.JPG
 

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