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Density of dry air vs. humid air?

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Old   January 12, 2023, 08:40
Default Density of dry air vs. humid air?
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Steve Lainé
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I have a question around correctly simulating the air with different densities. It would make sense to me that dry air at the same atmospheric pressure would have a lower density than humid at the same atmospheric pressure. What densities should I use for example for 50% humidity vs. 80% humidity for a HVAC supply case?
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Old   January 12, 2023, 14:40
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Use Dalton's law of partial pressures. Your wet density is:


\rho=\frac{p_{air}}{R_{air}T}+\frac{p_{h2o}}{R_{h2o}T} or \rho=\frac{p_{air}Mw_{air}+p_{h2o}Mw_{h2o}}{R_{u}T}


Obviously there is two or more steps not shown to convert relative humidity into the partial pressure.


As mentioned already, since the molecular weight of water (2 hydrogens and 1 oxygen) is less than the other molecular compounds (N-2, O-2, and CO2 are all heavier than 1-Oxygen), the density of wet air is less than dry air. If not for this property, the sky would rain fire instead of rain; and it did, many eons ago.
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Old   February 16, 2023, 05:18
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Steve Lainé
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Quote:
Originally Posted by LuckyTran View Post
Use Dalton's law of partial pressures. Your wet density is:


\rho=\frac{p_{air}}{R_{air}T}+\frac{p_{h2o}}{R_{h2o}T} or \rho=\frac{p_{air}Mw_{air}+p_{h2o}Mw_{h2o}}{R_{u}T}


Obviously there is two or more steps not shown to convert relative humidity into the partial pressure.


As mentioned already, since the molecular weight of water (2 hydrogens and 1 oxygen) is less than the other molecular compounds (N-2, O-2, and CO2 are all heavier than 1-Oxygen), the density of wet air is less than dry air. If not for this property, the sky would rain fire instead of rain; and it did, many eons ago.
Many thanks for this.
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