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Air is roughly 21% O2 and 79% N2. Those two molecules have approximate Molecular Weights of 32 grams per mole and 28 grams per mole, respectively. So if you take a weighted average:

(.21)(32 g/mol) + (.79)(28 g/mol) = 28.84 g/mol

So 28.84 is my estimation of the average MW of air. If you used more accurate values for atomic molecular weights, the percents, and added the additional species which make up "air" then you may come up with a value closer to 28.966.

Please note, however, that there really can't be as hard and fast a definition of the MW of air as there can of H2 for example. This is because the concentration of gases in the atmosphere (and around you, more specifically) is constantly changing, minute to minute, day to day, and year to year.

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