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Relative Humidity Air

Reference data and engineering information about relative humidity air for air psychrometrics applications.

relativehumidityair

Overview

Engineering reference data for Relative Humidity Air 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

Saturation Vapor Pressure Table

The saturation vapor pressure of water in air at various temperatures is critical for calculating relative humidity using the pressure method.

26 rows
Saturation Vapor Pressure of Water in Air
Temperature(°C)
Temperature(°F)
Saturation Vapor Pressure(10⁻³ bar)
-1801.5
-1551.9
-12102.4
-9153
-7203.7
-4254.6
-1305.6
2356.9
4408.4
74510.3
105012.3
135514.8
166017.7
186521
217025
247529.6
278035
298541
329048.1
359556.2
3810065.6
4110576.2
4311087.8
46115101.4
49120116.8
52125134.2

Source: engineeringtoolbox.com

Unit Note: 103 bar=1 millibar (mbar)10^{-3} \text{ bar} = 1 \text{ millibar (mbar)}.

Altitude Correction Factors

Barometric pressure decreases with altitude, affecting the calculation of relative humidity. The following table provides correction factors (φ correction) for different altitudes.

9 rows
Barometric Pressure, Altitude, and Correction Factors for Relative Humidity
Barometric Pressure(mbar)
Absolute Altitude(m)
Absolute Altitude(ft)
Correction Factor for φ(-)
1013001
10001083540.987
9892006560.976
96640013120.953
94360019960.931
92180026240.909
899100032810.887
842150049220.831
795200065620.785

Source: engineeringtoolbox.com

Methods of Expression

Relative humidity (ϕ\phi or RHRH) can be defined equivalently using three different ratios:

  1. By Pressure: The ratio of the actual partial pressure of water vapor (pwp_w) to the saturation vapor pressure (pwsp_{ws}) at the same dry-bulb temperature.
  2. By Density: The ratio of the actual vapor density (ρw\rho_w) to the saturation vapor density (ρws\rho_{ws}) at the same dry-bulb temperature.
  3. By Mass: The ratio of the actual mass of water vapor (mwm_w) in a given volume to the mass required to saturate that volume (mwsm_{ws}) at the same temperature.

Interactive Charts

Air - water saturation vapor pressure diagram

Moist air - relative humidity versus dry and wet bulb temperatures

References