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PV = nRT

At a given temperature (T), pressure (P), and volume (V), the number of moles of gas is constant. Thus, whichever gas has a higher molar mass will weigh more. Air is composed of mostly Nitrogen gas (N2), Carbon Dioxide (CO2) and Oxygen gas (O2). The molar masses of these are 28, 44, and 32 respectively.
If the pure vapor or gas in question is water vapor (H2O), with molar mass 18, then the air will weigh more.

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