EKS-HUM-007 / Moist-air state and psychrometric properties

Humidity Ratio

含湿量

Humidity ratio is the mass of water vapour in a moist-air sample divided by the mass of dry air in that sample.

Abbreviations
W
Aliases
mixing ratio, moisture content per dry air

QUANTITY, SYMBOL AND UNIT

Quantity / objectHumidity ratio
SymbolW
SIkg_w/kg_dakilogram of water vapour per kilogram of dry air
Commong_w/kg_dagram of water vapour per kilogram of dry air

Definition

Humidity ratio is the mass of water vapour in a moist-air sample divided by the mass of dry air in that sample.

It is commonly expressed as kg water/kg dry air or g water/kg dry air. Because sensible heating does not add or remove either dry air or water vapour, humidity ratio remains unchanged through an ideal sensible-heating process at fixed composition.

Formula and variables

W = m_w / m_da = 0.621945 p_w / (p - p_w)

Conditions: The pressure form uses the perfect-gas relation for moist air. Total pressure p and water-vapour partial pressure p_w must use the same units.

SymbolMeaningUnit
Whumidity ratiokg_w/kg_da
m_wmass of water vapourkg
m_damass of dry airkg
p_wwater-vapour partial pressurePa or kPa
ptotal moist-air pressurePa or kPa

Relations and distinctions

Humidity ratio and specific humidity

Humidity ratio divides by dry-air mass; specific humidity divides by total moist-air mass.

Humidity ratio and RH

Humidity ratio is a mass ratio. RH is a temperature-dependent saturation ratio and can change during sensible heating while W remains constant.

Engineering meaning

  1. Use humidity-ratio differences with dry-air mass flow to calculate a steady moisture-removal rate.
  2. Include total pressure or altitude when deriving W from temperature and RH.

Common misconceptions

MisconceptionHumidity ratio and relative humidity are interchangeable.

Accurate explanationThey have different definitions, units and temperature behaviour; converting between them requires temperature and pressure.

Application boundaries

  • The perfect-gas pressure formula is intended for ordinary moist-air calculations, not arbitrary high-pressure or non-air gas mixtures.
  • Humidity ratio alone does not specify dry-bulb temperature, RH or equipment capacity.

Supporting sources

  1. ASHRAE / SRC-ASHRAE-F25-CH01

    ASHRAE Handbook - Fundamentals, Chapter 1: Psychrometrics ↗

    2025 SI edition / Chapter 1, Basic Parameters and perfect-gas relationships, Equations 7, 8 and 21; lines 512–526 and 592–598

    Supports: Humidity ratio is water-vapour mass per dry-air mass; Humidity ratio is related to vapour partial pressure and total pressure; The dry-air denominator differs from specific humidity's total moist-air denominator

Maintenance record

Humidity Ratio

Maintained by
Yakeclimate Engineering Team
Authoritative sources verified
August 3, 2026
Terminology checked
August 3, 2026
Last updated
August 3, 2026