How Does the Concentration Ratio of Nitrogen to Hydrogen Change with Altitude?

AI Thread Summary
The discussion focuses on how the concentration ratio of nitrogen to hydrogen changes with altitude, assuming constant temperature. The initial approach involves using pressure differentials and the ideal gas law to derive the relationship for a single gas. The conversation shifts to considering two gases and the applicability of Dalton's Law to determine their concentration ratios. Participants confirm that Dalton's Law can simplify the analysis of gas mixtures at varying altitudes. The thread highlights the importance of understanding gas behavior in atmospheric conditions.
jaumzaum
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I was trying to solve a problem from Irodov book that asked how the concentration ratio of nytrogen and hydrogen varies with the altitude (initial ratio = n0), considering the temperature to be constant.

If there was only one gas,

http://img543.imageshack.us/img543/664/77110068.png

dP = -dm g/A
dP = -dV ρ g/A
dP = -dh ρ g
dP = -dh PMg/RT
dP/P = -Mg/RT dh
P = P0e-hMg/RT

Where:
P0 is initial pressure
M is molar mass
ρ is density

But how would it work for 2 different gases?
 
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Dalton's Law? Could it be that simple?
 
haruspex said:
Dalton's Law? Could it be that simple?


Thanks haruspex, I had completely forgot the Dalton's Law :'(
Don't know where my head was
 

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