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Air has a weight, weight is the force felt by an object under gravity: F=ma.
As air is made of particals it clearly has a mass (don't bring light into this).
Therefore it clearly has a weight.
However on earth what most people would think of as wait also factors in bouyancy, ie something would 'weigh' less under water than on land.
So as bouyancy can in effect be considered as the relationship between the mass of intrest and the mass of the surrounding medium. You could say that air is 'weightless' how ever this would be wrong, because the real deffinition of weight is not depended on bouyancy.
Air has a mass of 4.809x10^-26kg
as weight = ma and a on earth is 9.81ms^-2
The weight of air on earth is: 4.72x10^-25 N
Look up the density of air. You'll get some number in pounds per cubic foot, which tells you how many pounds of air is in a cubic foot of air. That's the definition of density: weight per volume.
And pressure is unrelated. Unless you mean the weight of the 80 mile column of air causing the pressure. I don't think anyone asking this question cares specifically about how much the 80 miles of air above them weighs.
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