Question #279679

What is the mass of a cubic meter of air at 20oC at sea level?

1
Expert's answer
2021-12-17T18:16:19-0500

The mass of a cubic meter (density) of air is given as follows (see https://en.wikipedia.org/wiki/Density_of_air#Dry_air):


ρ=pRT\rho =\dfrac{p}{R^*T}

where p=1.01×105Pap = 1.01\times 10^5Pa is the pressure at sea level (average), T=(273+20°C)=293KT = (273 + 20\degree C) = 293K is the temperature, and R=278J/kg/KR^* = 278J/kg/K is the specific gas constant for air. Thus, have:


ρ=1.01×1052782931.24kg/m3\rho = \dfrac{1.01\times 10^5}{278\cdot 293} \approx 1.24kg/m^3

Answer. 1.24 kg.


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