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Humid Air Ideal Gas

Reference data and engineering information about humid air ideal gas for air psychrometrics applications.

humidairidealgas

Overview

Engineering reference data for Humid Air Ideal Gas in air psychrometrics.

Key Formulas

Humidity Ratio

ω=0.622PvPa\omega = 0.622 \frac{P_v}{P_a}

Mass of water vapor per mass of dry air.

Relative Humidity

ϕ=PvPvs×100%\phi = \frac{P_v}{P_{vs}} \times 100\%

Ratio of actual to saturation vapor pressure.

Wet Bulb Temperature

Twb=TdbPvsPvγT_{wb} = T_{db} - \frac{P_{vs} - P_v}{\gamma}

Temperature measured by wet-bulb thermometer.

Enthalpy of Moist Air

h=cpT+ωhgh = c_p T + \omega h_g

Sensible + latent heat per unit mass of dry air.

Variables

SymbolDescriptionUnit
ω\omegaHumidity ratiokg/kg
ϕ\phiRelative humidity%
PvP_vVapor pressurePa
PvsP_{vs}Saturation vapor pressurePa
TdbT_{db}Dry bulb temperature°C
TwbT_{wb}Wet bulb temperature°C

Air and Water Vapor Properties

2 rows
Molecular weight and individual gas constants for air and water vapor
Gas
Individual Gas Constant - Imperial(ft lb/slug oR)
Individual Gas Constant - SI(J/kg K)
Molecular Weight(kg/kmole)
Air1716286.928.97
Water vapor2760461.418.02

Source: engineeringtoolbox.com

Dalton's Law and Partial Pressures

Dalton's Law states that the total pressure exerted by a mixture of gases is the sum of the partial pressures of the individual gases. For moist air, this means the total pressure is the combined effect of dry air and water vapor. The partial pressures can be determined using the ideal gas law with the respective densities and gas constants.

Saturation Pressure

The saturation pressure, denoted as pwsp_{ws}, is the maximum vapor pressure before water vapor begins to condense at a given temperature. In moist air, common vapor partial pressures range from 0.5 to 3.0 kPa, which is low compared to dry air partial pressure due to water's relatively high boiling point.

Interactive Charts

Air - Humidity Measurement from Dry and Wet Bulb Temperature

References