Derivation of the change of air pressure with height

AI Thread Summary
The discussion centers on the derivation of air pressure changes with height, specifically questioning why the weight of air above a slab is not included in the calculations. It is clarified that only forces acting directly on the slab should be considered, which include the pressure from above, pressure from below, and the weight of the slab itself. The weight of the air above does not exert a force on the slab; instead, its effects are captured in the pressure above. The conversation emphasizes that pressure results from molecular collisions, and the contact force (pressure) accounts for the weight of the air above. Ultimately, the derivation remains valid as it correctly reflects the forces acting on the slab without needing to include the weight of the air above.
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