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At STP, the density of dry air is m/V = p / RT = 101325 N/m2 * 1 m3 / (287 J/kg-K * 273.15 K) = 1.2925 kg/m3. How much one gallon weighs is a simple matter of the volume ratio of one gallon to one cubic meter, so this question doesn't have to be answered again for a different volume.

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