What are some formulas for calculating humid air density?

In summary, there are four formulas that can be used to calculate the humid air density based on air pressure, temperature, and dew point (or relative humidity). These include the Goff-Gratch Formula, the Magnus Formula, Dalton's Law of Partial Pressures, and the Buck Equation. Each formula uses different variables and constants, so it is important to use the correct formula for the specific situation.
  • #1
Robert James Liguori
5
0
I'm trying to compile a complete list of available humid air density formulas that work with air pressure, temperature and dew point (or RH).

If you know any, please advise.

Thanks,
Robert
 
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  • #2
1. Goff-Gratch Formula: ρ = P/[(Rd*Td) + (Rv*Tv)]Where: ρ = Humid air density (kg/m3)P = Atmospheric Pressure (Pa)Rd = Gas constant for dry air (287.05 J/kgK)Td = Dry bulb temperature (K)Rv = Gas constant for water vapor (461.5 J/kgK)Tv = Virtual temperature (K)2. Magnus Formula:ρ = P/RT * [1 + 0.62198*w/(P - w)]Where:ρ = Humid air density (kg/m3)P = Atmospheric Pressure (Pa)R = Gas constant for dry air (287.05 J/kgK)T = Temperature (K)w = Saturation Mixing Ratio (kg/kg)3. Dalton's Law of Partial Pressures:ρ = P/RT * [1 + (0.622*w/P)]Where: ρ = Humid air density (kg/m3)P = Atmospheric Pressure (Pa)R = Gas constant for dry air (287.05 J/kgK)T = Temperature (K)w = Water vapor pressure (Pa)4. Buck Equation:ρ = P/[(Rd*T) + (Rv*Td)]Where: ρ = Humid air density (kg/m3)P = Atmospheric Pressure (Pa)Rd = Gas constant for dry air (287.05 J/kgK)T = Temperature (K)Rv = Gas constant for water vapor (461.5 J/kgK)Td = Dew point temperature (K)
 

Related to What are some formulas for calculating humid air density?

1. What is the formula for calculating the density of humid air?

The formula for calculating the density of humid air is: ρ = (P * M) / (R * T * (1 + (W / 100))), where ρ is the density in kg/m³, P is the atmospheric pressure in Pa, M is the molar mass of dry air (28.97 g/mol), R is the gas constant (8.314 J/(mol*K)), T is the temperature in Kelvin, and W is the water vapor content in %.

2. Why is it important to account for humidity when calculating air density?

Humidity, or the amount of water vapor in the air, affects the density of air because water molecules have a lower molecular weight than dry air molecules. This means that humid air is less dense than dry air at the same pressure and temperature. Therefore, it is important to account for humidity in air density calculations to accurately measure the amount of mass and energy in the air.

3. How does air density vary with changes in temperature and pressure?

As temperature and pressure increase, air density decreases. This is because as air molecules gain energy and move faster, they take up more space and become less dense. Similarly, as pressure increases, air molecules are forced closer together, making the air denser. These relationships can be seen in the ideal gas law and are important to consider when studying air density.

4. How does altitude affect air density?

As altitude increases, air density decreases. This is due to the decrease in atmospheric pressure at higher altitudes. As air molecules move further apart, the air becomes less dense. Altitude is an important factor to consider in air density calculations, especially in aviation and weather forecasting.

5. What are some real-world applications of humidity and air density calculations?

Humidity and air density calculations are important in a variety of fields, including weather forecasting, aviation, and engineering. For example, humidity and air density data are used to predict and track severe weather, calculate aircraft performance and fuel efficiency, and design buildings and structures to withstand different environmental conditions. These calculations also play a crucial role in air quality monitoring and climate research.

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