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Dalton's Law of Partial Pressures
As air is a mixture of gases it obey's Dalton's Law of Partial Pressure:
The total pressure exerted by the mixture of dry air and water vapour is equal to the sum of their partial pressures
Imagine an air parcel is near sea level. The total pressure inside this parcel is due to the molecules all colliding against the inside surface of this parcel. Therefore, the total pressure inside the parcel is simply equal to the sum of the pressures of the individual gasses.
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