anorlunda said:
My knees quiver to argue with Chestermiller, but here goes.
That partial pressure calculation assumes that the gasses are well mixed. It can't be used to establish the mixing ratios. The NASA paper linked by Russ uses those types of equations for the Homosphere where turbulence guarantees well mixed gases. http://ruc.noaa.gov/AMB_Publications_bj/2009%20Schlatter_Atmospheric%20Composition%20and%20Vertical%20Structure_eae319MS-1.pdf The figure below from the same paper shows the mixing ratios of different gasses. They are highly nonlinear, and not even monotonic. It is unclear from the paper exactly how they define mixing ratio. They discuss it using units ppmv (parts per million volume?) Nevertheless, note that the mixing ratio for O2 is ##10^4## to ##10^{10}## times bigger than the ratio for H. I take that to mean that H is much more reluctant to mix than O2.
The caption says that the ratio for nitrogen is not shown because it is always well mixed.
In atmospheric science parlance, mixing ratio is the same thing as what we call mole fraction.
Except for oxygen, CO2, and Argon, all the other gases in this figure are strongly affected by the photochemistry. CH4 decreases with altitude because of its reaction with OH radicals, and N2O decreases with altitude because of photolysis and reaction with O
1D. Of course ozone, O atoms, and H atoms are all very highly active photochemically. And water up to the tropopause is controlled by condensation processes at the very low temperatures in the upper troposphere. So the only gases in this figure that have relevance to our discussion are O2, CO2, and Ar. And
these gases are seen to have constant mixing ratios all the way up to 80 km. This is a little higher than the 3 meter room I was talking about.
I guess if you were going to use a figure from Guy Brasseur's paper, you should have at least read the paper. I was a very active worker in the atmospheric transport and chemistry area for a number of years when I worked for DuPont. (Incidentally, I knew Guy Brasseur and his frequent co-work Susan Solomon personally during that period). Here are a few of my papers that you may be interested in reading:
Miller, C., Meakin, P., Franks, R.G.E., and Jesson, J.P., The Fluorocarbon-Ozone Theory – V. One Dimensional Modeling of the Atmosphere: The Base Case, Atmospheric Environment, 12, 2481-2500 (1978)
Miller, C., Filkin, D.L., and Jesson, J.P., The Fluorocarbon-Ozone Theory – VI. Atmospheric Modeling: Calculation of the Diurnal Steady State, Atmospheric Environment, 13, 381-394 (1979)
Glasgow, L.C., Jesson, J.P., Filkin, D.L., and Miller, C., The Stratospheric Abundance of Hypochlorous Acid (HOCl), Planet. Space Sci., 27, 1047-1054 (1979)
Miller, C., Steed, J.M., Filkin, D.L., and Jesson, J.P., Two-Dimensional Model Calculations of Stratospheric HCl and ClO, Nature, 288, 5790, 461-464 (1980)
Bass, A.M., Glasgow, L.C., Miller, C., Jesson, J.P., and Filkin, D.L., Temperature Dependent Absorption Cross Sections for Formaldehyde: The Effect of Formaldehyde on Stratospheric Chlorine Chemistry, Planet. Space Sci., 28, 675-679 (1980)
Miller, C., Steed, J.M., Filkin, D.L., and Jesson. J.P., The Fluorocarbon Ozone Theory – VII. One-Dimensional Modeling – An assessment of Anthropogenic Perturbations, Atmospheric Environment, 15, 5, 729-742 (1981)
Miller, C., Filkin, D.L., Owens, A.J., Steed, J.M., and Jesson, J.P., A Two-Dimensional Model of Stratospheric Chemistry and Transport, J. Geophys. Res., 86, C12, 12039-12065 (1981)
Steed, J.M., Owens, A.J., Miller, C., Filkin, D.L., and Jesson, J.P., Two-Dimensional Modelling of Potential Ozone Perturbation by Chlorofluorocarbons, Nature, 295, 5847, 308-311 (1982)
Owens, A.J., Steed, J.M., Miller, C., Filkin, D.L., and Jesson, J.P., The Atmospheric Lifetimes of CFC 11 and CFC 12, Geophys. Res. Lttrs., 9, 6, 700-703 (1982)
Owens, A.J., Steed, J.M., Miller, C., Filkin, D.L., and Jesson, J.P., The Potential Effects of Increased Methane on Atmospheric Ozone, Geophys. Res. Lttrs., 9, 9, 1105-1108 (1982)
Owens, A.J., Hales, C.H., Filkin, D.L., Miller, C., Steed, J.M., and Jesson, J.P., A Coupled One-Dimensional Radiative-Convective, Chemistry-Transport Model of the Atmosphere, 1. Model Structure and Steady State Perturbation Calculations, J. Geophys. Res., 90, D1, 2283-2311, (1985)
Now, I provided an analysis of the problem we have been discussing concerning air and helium in a room in post #36. You claimed that there would be a significantly larger concentration of helium near the ceiling than near the floor, and I showed that there would only be a 0.03% difference. If you have found any flaws in my analysis, please identify them.
Chet