Finding the activity of a carbon 14 sample

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Homework Help Overview

The discussion revolves around calculating the activity of a carbon-14 sample, specifically focusing on the number of C-14 atoms in a given mass and the implications of using approximations for molar mass in calculations.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the calculation of the number of C-14 atoms in a 1g sample and question the use of 14 as the molar mass of carbon-12. There is an exploration of whether approximations are sufficient given the context of the problem.

Discussion Status

Some participants have provided guidance on the appropriateness of using certain approximations and have noted that the calculations may affect subsequent parts of the problem. There is an ongoing exploration of the implications of these calculations on the overall results.

Contextual Notes

Participants are navigating the complexities of relative masses and the precision of their calculations, particularly in relation to the assumptions made about the molar mass of carbon-12.

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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