Relationship between Atomic PPM and Mole

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SUMMARY

The discussion clarifies the relationship between atomic parts per million (ppm) and moles, specifically addressing why 25 atomic ppm of oxygen corresponds to 25 moles of oxygen in 1 million moles of iron (Fe). The key takeaway is that ppm represents a ratio, allowing for a direct conversion between atomic counts and moles, as both are measures of quantity. The conversation emphasizes that the mole is simply a larger unit of measurement, akin to a dozen, and that maintaining the ratio is essential for accurate conversions.

PREREQUISITES
  • Understanding of atomic ppm (parts per million)
  • Familiarity with Avogadro's number
  • Basic knowledge of moles as a unit of measurement
  • Concept of ratios in chemical quantities
NEXT STEPS
  • Study the concept of Avogadro's number in detail
  • Learn about the significance of ppm in chemical analysis
  • Explore the relationship between moles and other units of measurement
  • Investigate practical applications of ppm in various scientific fields
USEFUL FOR

Chemistry students, educators, and professionals involved in quantitative analysis and chemical measurements will benefit from this discussion.

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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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