Quick question on chemistry notation (mol fraction vs %)

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Discussion Overview

The discussion revolves around the notation used for gas mixtures, specifically the conversion between molar fraction and percentage composition. Participants explore how to express a molar fraction of oxygen in terms of a percentage for a gas mixture involving argon and carbon dioxide.

Discussion Character

  • Conceptual clarification, Debate/contested

Main Points Raised

  • One participant asks how to convert a molar fraction of 0.02 for O2 into a percentage format for a gas mixture of Ar and CO2.
  • Another participant questions the definition of molar fraction.
  • One participant states that the molar fraction is the ratio of moles to moles and suggests that to convert to percentage, one would multiply by 100.
  • Some participants note that the composition of gas mixtures can be ambiguous, as percentages can refer to volume/volume (v/v) or weight/weight (w/w), which can lead to different interpretations.
  • There is a discussion about the equivalence of molar fraction and percentage in the context of the ideal gas law, with some participants suggesting that they are equivalent, while others argue that this is not the case for real gases when the ideal gas approximation fails.

Areas of Agreement / Disagreement

Participants express differing views on the equivalence of molar fraction and percentage, particularly in the context of real gases versus ideal gases. The discussion remains unresolved regarding the implications of these definitions and their applications.

Contextual Notes

Participants highlight the ambiguity in gas mixture composition and the potential differences between volume and weight percentages, which may affect the interpretation of the data.

rwooduk
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Please post this type of questions in HW section using the template.
Hi,

I have a paper that for a gas mixture writes Ar/25%O2 implying that 25% of the atmosphere of the gas is oxygen.

I have another paper that writes 0.02 mol frac O2 for a Ar/CO2 atmosphere.

Please could someone tell me how I would write the 0.02 mol frac O2 in the form Ar/X%CO2 and what X would be and how you got it?

Thanks in advance for any help!
 
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How is the molar fraction defined?
 
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Borek said:
How is the molar fraction defined?

hmm molar fraction is ratio of moles to moles, and to get fraction to percent you would multiply by 100, wow that was easy, sorry, thanks for the direction!
 
Just remember composition of the gas mix - as listed - is ambiguous. 25% O2 can be v/v (more or less equivalent to molar fraction) or w/w (substantially different).
 
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Borek said:
Just remember composition of the gas mix - as listed - is ambiguous. 25% O2 can be v/v (more or less equivalent to molar fraction) or w/w (substantially different).

hmm isn't it exactly equivalent through PV = nRT ?
 
rwooduk said:
hmm isn't it exactly equivalent through PV = nRT ?

For real gases not so, especially when the ideal gas approximation no longer holds.
 
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Borek said:
For real gases not so, especially when the ideal gas approximation no longer holds.

Good point, thanks again.
 

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