Dry air mainly contains gases like nitrogen and oxygen along with small proportions of the other gases. The wet air on the other hand, also contains a small amount of water vapours. Now, vapour density of water vapours is less than that of nitrogen and oxygen because molar mass of H2O (18) is less than that of N2 (28) and O2 (32). This means that heavier molecules or nitrogen and oxygen have been replaced by lighter molecules of water vapours when the dry air changes to we air. Therefore, dry air is heavier than wet air.
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