What an excellent question! Air is made up of atoms, so it does have weight. The effect of gravity is related to the “mass” of the object, and because air is a gas, the mass is very very small, so gravity doesn’t have much of an effect. It has enough of an effect to keep out atmosphere around us so it doesn’t drift off into space.
Heres an experiment: weigh a sealed box. Then pump all the air out (so its a vacuum inside), and weigh it again. The difference is the weight of the air inside.
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