Calculate the percentage of nitrogen in air

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Discussion Overview

The discussion revolves around calculating the percentage of nitrogen in air, specifically under the assumption that only nitrogen and oxygen are present. Participants explore the application of gas laws and density relationships in this context.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Technical explanation

Main Points Raised

  • One participant presents the problem statement and seeks guidance on which equation to use for the calculation.
  • Another participant suggests that gas volumes are additive and proposes expressing the density of air as a function of the composition of nitrogen and oxygen.
  • A participant attempts to derive an equation but expresses difficulty in progressing, asking for the equation to be provided for clarity.
  • Further discussion includes a mass balance approach, with one participant emphasizing the need to express the mass of each gas in terms of its volume and density, while questioning the relevance of pressure and temperature in this context.
  • One participant expresses gratitude for assistance received, indicating a moment of understanding.
  • A light-hearted exchange occurs regarding the use of titles among participants.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best approach to solve the problem, with multiple perspectives on how to derive the necessary equations and the relevance of certain variables.

Contextual Notes

Participants have not fully resolved the mathematical steps needed to derive the percentage of nitrogen, and there are varying assumptions about the importance of pressure and temperature in the calculations.

zorro
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Homework Statement


At 0C and 1 atm pressure the densities of air, oxygen and nitrogen are 1.293, 1.429 and 1.251 kg/m3. Calculate the percentage of nitrogen in air, assuming only these two gases to be present.

The Attempt at a Solution



Which equation should we use here?
 
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No one knows the solution??
 
Gas volumes are additive. If you mix some volumes of oxygen and nitrogen, final volume will equal sum of volumes, also final mass will equal sum of masses. Using this information try to express the density of the air as a function of composition (say assuming x fraction of nitrogen, and 1-x fraction of oxygen). Solve for x.

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I tried to derive an equation but got stuck.
Can you just write the equation? That will help me in understanding the problem.
 
I would have to derive it by myself, I didn't.

Please show how you started and where you got stuck.
 
V = VO2 + VN2
nT/P = nO2/PO2 + nN2/PN2 ( as temperature is constant )
P = 1atm
Dividing the equation by nO2 + nN2
We get mole fractions on both sides.
On solving I get PN2 + PO2 = 1
which I don't think is of any use.
 
Abdul Quadeer said:
V = VO2 + VN2

OK

nT/P = nO2/PO2 + nN2/PN2

I told you to write mass balance - that is, express mass of each gas as a function of its volume and density. Pressure and temperature are of no use here.

--
 
Thanks a lot Sir!
I got it :smile:
 
Don't Sir me.

You may call me Mr. pH if you need to use a title.

--
 
  • #10
:biggrin:
Sure, Mr. PH
 

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