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Meteorological Calculation

Mixing Ratio & Specific Humidity

Calculate water-vapor mass relative to dry air and to total moist air.

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Mixing ratio (g/kg dry air)
7.3397
Specific humidity (g/kg moist air)
7.2863
Vapor pressure (hPa)
11.663
Introduction & principle

Vapor pressure e=es(T)RH/100; mixing ratio r=0.62198e/(P−e); specific humidity q=r/(1+r). Results multiply kg/kg by 1000 for g/kg. Use station pressure, not sea-level pressure. Magnus saturation is over liquid water.

Worked example

At 20°C, RH50% and 1000 hPa, r is about 7.34 g/kg dry air and q about 7.29 g/kg moist air. RH 0 produces both zero.

Detailed usage guide
  1. 1Enter temperature −45–60°C and RH 0–100%.
  2. 2Enter station pressure 100–1100 hPa; vapor pressure must remain below total pressure.
  3. 3Compare the dry-air denominator of mixing ratio with the total-air denominator of specific humidity.
Common problems & FAQ

Why do the two mass ratios differ?

Mixing ratio divides vapor mass by dry-air mass. Specific humidity divides it by total moist-air mass, so q=r/(1+r) and is slightly smaller.

Methods & references

Method reviewed November 4, 2026. These tools support learning and recording, not safety-critical decisions.

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