Relationship between Atomic PPM and Mole

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Discussion Overview

The discussion revolves around the relationship between atomic parts per million (ppm) and moles, specifically addressing how 25 atomic ppm of oxygen translates to 25 moles of oxygen in 1e6 moles of iron. The scope includes conceptual clarification and mathematical reasoning related to units of measurement in chemistry.

Discussion Character

  • Conceptual clarification
  • Mathematical reasoning

Main Points Raised

  • One participant expresses understanding of ppm but seeks clarification on the conversion from atomic counts to moles, questioning the role of Avogadro's number in this context.
  • Another participant explains that ppm can be interpreted in various ways, emphasizing that the mole is simply a larger unit of counting, similar to a dozen.
  • A later reply reinforces the idea that as long as the ratio is maintained, the numerical representation can vary, including the use of moles.

Areas of Agreement / Disagreement

Participants appear to agree on the concept that ppm can be expressed in different units as long as the ratio is consistent, but there is no consensus on the specific conversion process from atomic counts to moles.

Contextual Notes

The discussion does not resolve the specific mathematical steps involved in the conversion from atomic ppm to moles, leaving some assumptions and dependencies on definitions unaddressed.

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Homework Statement



Why does 25 atomic ppm oxygen mean 25 moles of oxygen in 1e6 mole Fe?

Homework Equations



# = mol*Avo

The Attempt at a Solution



I understand the ppm (parts per million) part. Hence why 25 ppm means 25:1e6. What I do not understand is how they go from atomic to moles...

The only way I can explain it is:

# = mol*Avo ---> Since Avogadro's number is a constant, the difference between # (atomic) and mol (moles) is just a given ratio (a number), thus you can use either... But then where is the conversion?...
 
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Not sure what your question is. 25 ppm means 25 atoms per 106 atoms, 25 dozens of atoms per 106 dozens of atoms, 25 thousands of atoms per 106 thousands of atoms, 25*123456789 of atoms per 106*123456789 of atoms and so son. You can plug any number, including Avogadro's constant.

After all, mole is just an overgrown dozen.
 
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Borek said:
After all, mole is just an overgrown dozen.
:smile:

And to think I was impressed by a baker's dozen...
 
Thanks Borek. So what you're saying is that as long as the ratio is held, the number can be anything (even mole)? I forgot that mole is simply a means of expressing the amount of a chemical substance... just like # of atoms. Whoops.
 
1question said:
Thanks Borek. So what you're saying is that as long as the ratio is held, the number can be anything (even mole)?

Exactly.
 

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