Relative Humidity Formula

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Relative Humidity is the ratio of the partial pressure of water vapor in the mixture to the vapor pressure of water at a given temperature. Check FAQs
Φ=ωppartial(0.622+ω)PAo
Φ - Relative Humidity?ω - Specific Humidity?ppartial - Partial Pressure?PAo - Vapor Pressure of Pure Component A?

Relative Humidity Example

With values
With units
Only example

Here is how the Relative Humidity equation looks like with Values.

Here is how the Relative Humidity equation looks like with Units.

Here is how the Relative Humidity equation looks like.

2.1E-5Edit=0.25Edit0.2Edit(0.622+0.25Edit)2700Edit
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Relative Humidity Solution

Follow our step by step solution on how to calculate Relative Humidity?

FIRST Step Consider the formula
Φ=ωppartial(0.622+ω)PAo
Next Step Substitute values of Variables
Φ=0.250.2Pa(0.622+0.25)2700Pa
Next Step Prepare to Evaluate
Φ=0.250.2(0.622+0.25)2700
Next Step Evaluate
Φ=2.12368331634387E-05
LAST Step Rounding Answer
Φ=2.1E-5

Relative Humidity Formula Elements

Variables
Relative Humidity
Relative Humidity is the ratio of the partial pressure of water vapor in the mixture to the vapor pressure of water at a given temperature.
Symbol: Φ
Measurement: NAUnit: Unitless
Note: Value should be between 0 to 1.
Specific Humidity
Specific Humidity is the ratio of the mass of water vapor to the total mass of the air parcel.
Symbol: ω
Measurement: NAUnit: Unitless
Note: Value should be between 0 to 1.
Partial Pressure
Partial Pressure is the notional pressure of that constituent gas if it alone occupied the entire volume of the original mixture at the same temperature.
Symbol: ppartial
Measurement: PressureUnit: Pa
Note: Value can be positive or negative.
Vapor Pressure of Pure Component A
Vapor Pressure of Pure Component A is the pressure exerted by a liquid or solid molecules of only A in a closed system in which they are in equilibrium with the vapour phase.
Symbol: PAo
Measurement: PressureUnit: Pa
Note: Value can be positive or negative.

Other formulas in Ideal Gas category

​Go Compressibility Factor
z=pvRT
​Go Partial Pressure of Water Vapour
ppartial=Pgas1.8PatmΔT2700
​Go Mean Effective Pressure
MEP=Wd
​Go Pressure
P'=13ρgasVrms2

How to Evaluate Relative Humidity?

Relative Humidity evaluator uses Relative Humidity = Specific Humidity*Partial Pressure/((0.622+Specific Humidity)*Vapor Pressure of Pure Component A) to evaluate the Relative Humidity, Relative Humidity formula is defined as the ratio of the current amount of water vapor in the air to the maximum amount of water vapor the air can hold at a given temperature, expressed as a percentage. Relative Humidity is denoted by Φ symbol.

How to evaluate Relative Humidity using this online evaluator? To use this online evaluator for Relative Humidity, enter Specific Humidity (ω), Partial Pressure (ppartial) & Vapor Pressure of Pure Component A (PAo) and hit the calculate button.

FAQs on Relative Humidity

What is the formula to find Relative Humidity?
The formula of Relative Humidity is expressed as Relative Humidity = Specific Humidity*Partial Pressure/((0.622+Specific Humidity)*Vapor Pressure of Pure Component A). Here is an example- 2.1E-5 = 0.25*0.2/((0.622+0.25)*2700).
How to calculate Relative Humidity?
With Specific Humidity (ω), Partial Pressure (ppartial) & Vapor Pressure of Pure Component A (PAo) we can find Relative Humidity using the formula - Relative Humidity = Specific Humidity*Partial Pressure/((0.622+Specific Humidity)*Vapor Pressure of Pure Component A).
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