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Mixing ratio of air calculator

Find actual and saturation water-vapour mixing ratios from temperature, dew point and station pressure, with a temperature comparison chart.

Calculator

Water-vapour mixing ratio (kg/kg dry air)
0.00762486
Saturation mixing ratio (kg/kg dry air)
0.01468311
Relative humidity
52.51165450%
Actual vapour pressure
1,227.17
Saturation vapour pressure
2,336.95
Actual and saturation mixing ratios Line chart. The data table follows. 0 0 7.5 6.8 15 13.6 22.5 20.4 30 27.2 Temperature (selected units) Mixing ratio (g/kg dry air)
  • Actual at fixed dew point
  • Saturation
Actual and saturation mixing ratios data
SeriesTemperature (selected units)Mixing ratio (g/kg dry air)
Actual at fixed dew point107.624860533319658
Actual at fixed dew point10.57.624860533319658
Actual at fixed dew point117.624860533319658
Actual at fixed dew point11.57.624860533319658
Actual at fixed dew point127.624860533319658
Actual at fixed dew point12.57.624860533319658
Actual at fixed dew point137.624860533319658
Actual at fixed dew point13.57.624860533319658
Actual at fixed dew point147.624860533319658
Actual at fixed dew point14.57.624860533319658
Actual at fixed dew point157.624860533319658
Actual at fixed dew point15.57.624860533319658
Actual at fixed dew point167.624860533319658
Actual at fixed dew point16.57.624860533319658
Actual at fixed dew point177.624860533319658
Actual at fixed dew point17.57.624860533319658
Actual at fixed dew point187.624860533319658
Actual at fixed dew point18.57.624860533319658
Actual at fixed dew point197.624860533319658
Actual at fixed dew point19.57.624860533319658
Actual at fixed dew point207.624860533319658
Actual at fixed dew point20.57.624860533319658
Actual at fixed dew point217.624860533319658
Actual at fixed dew point21.57.624860533319658
Actual at fixed dew point227.624860533319658
Actual at fixed dew point22.57.624860533319658
Actual at fixed dew point237.624860533319658
Actual at fixed dew point23.57.624860533319658
Actual at fixed dew point247.624860533319658
Actual at fixed dew point24.57.624860533319658
Actual at fixed dew point257.624860533319658
Actual at fixed dew point25.57.624860533319658
Actual at fixed dew point267.624860533319658
Actual at fixed dew point26.57.624860533319658
Actual at fixed dew point277.624860533319658
Actual at fixed dew point27.57.624860533319658
Actual at fixed dew point287.624860533319658
Actual at fixed dew point28.57.624860533319658
Actual at fixed dew point297.624860533319658
Actual at fixed dew point29.57.624860533319658
Actual at fixed dew point307.624860533319658
Saturation107.624860533319658
Saturation10.57.887206267452283
Saturation118.157610338909008
Saturation11.58.436293072482732
Saturation128.723480303625417
Saturation12.59.019403519687481
Saturation139.324300005705794
Saturation13.59.638412994934194
Saturation149.96199182431983
Saturation14.510.295292095138706
Saturation1510.63857583901422
Saturation15.510.99211168955361
Saturation1611.35617505984884
Saturation16.511.731048326100762
Saturation1712.117021017638352
Saturation17.512.51439001361836
Saturation1812.923459746705332
Saturation18.513.344542414046927
Saturation1913.777958195875636
Saturation19.514.224035482084904
Saturation2014.683111107145532
Saturation20.515.155530593747194
Saturation2115.641648405569775
Saturation21.516.1418282096105
Saturation2216.65644314851508
Saturation22.517.185876123384727
Saturation2317.730520087556066
Saturation23.518.290778351877275
Saturation2418.867064902032
Saturation24.519.459804728492397
Saturation2520.06943416971405
Saturation25.520.696401269219017
Saturation2621.341166147249044
Saturation26.522.004201387708136
Saturation2722.68599244115433
Saturation27.523.38703804464254
Saturation2824.107850659265857
Saturation28.524.84895692629064
Saturation2925.61089814283195
Saturation29.526.394230758070098
Saturation3027.199526891067492

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How this calculator works

Mixing ratio expresses water-vapour mass per dry-air mass. Actual vapour pressure comes from dew point; saturation vapour pressure comes from air temperature. The pressure difference p-e is the dry-air partial pressure. The chart holds actual vapour pressure and total pressure fixed while varying temperature from the dew point upward. Values are ratios in kg/kg, with the chart scaled to g/kg. The liquid-water saturation relation is limited to -40 through 60 C.

Formula

w = 0.621945 e/(p-e); w_s = 0.621945 e_s/(p-e_s); RH = e/e_s. All pressures must use the same unit.

Worked example

At 0 C, dew point 0 C and 101325 Pa, e = 611.2 Pa and w is about 0.00377439 kg/kg, or 3.77439 g/kg. Heating at fixed dew point and pressure leaves w unchanged.

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Frequently asked questions

Is mixing ratio the same as specific humidity?

No. Specific humidity uses total moist-air mass, q = w/(1+w). Mixing ratio uses dry-air mass.

Why must pressure exceed saturation pressure?

Otherwise a positive dry-air partial pressure at saturation cannot exist in this mixture model.

Why is actual mixing ratio flat on the chart?

The chart holds dew point and total pressure fixed, so the vapour-to-dry-air mass ratio stays constant.

Sources

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