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relative-to-specific-humidity.md

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Relative to specific humidity

Formula which converts relative to specific humidity

  1. $$ \large{RH_{norm} = RH / 100} $$

  2. $$ \large{P_s = temperatureToSaturationVaporPressure(t)} $$

  3. $$ \large{HumidityRatio_{saturated} = \frac{M_{ratio} * P_s}{P_a - P_s}} $$

  4. $$ \large{\omega = \frac{1000 * RH_{norm} * HumidityRatio_{saturated}}{(1+\frac{(1 - RH_{norm}) * HumidityRatio_{saturated}}{M_{ratio}})}} $$

where:

  • $RH$ - relative humidity [%]
  • $t$ - temperature [°C]
  • $M_{ratio}$ - molar mass ratio = 0.6219736437801877
  • $P_a$ - atmospheric pressure $[Pa]$