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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 = ω \cdot \frac{p partial}{(0.622 + ω) \cdot PA o}

Φ - Relative Humidity?ω - Specific Humidity?p_partial - Partial Pressure?PA^o - Vapor Pressure of Pure Component A?

Relative Humidity Example

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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-5 = 0.25 \cdot \frac{0.2}{(0.622 + 0.25) \cdot 2700}

2.1E-5 = 0.25 \cdot \frac{0.2Pa}{(0.622 + 0.25) \cdot 2700Pa}

2.1E-5 = 0.25 \cdot \frac{0.2}{(0.622 + 0.25) \cdot 2700}

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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 = ω \cdot \frac{p partial}{(0.622 + ω) \cdot PA o}

Next Step Substitute values of Variables

∴

Φ = 0.25 \cdot \frac{0.2Pa}{(0.622 + 0.25) \cdot 2700Pa}

Next Step Prepare to Evaluate

∴

Φ = 0.25 \cdot \frac{0.2}{(0.622 + 0.25) \cdot 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.

Formulas to find Relative Humidity

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.

Formulas to find Specific Humidity

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: p_partial

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Partial Pressure

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: PA^o

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Vapor Pressure of Pure Component A

Other formulas in Ideal Gas category

Go Compressibility Factor

z = \frac{p \cdot v}{R \cdot T}

Go Partial Pressure of Water Vapour

p partial = P gas \cdot 1.8 \cdot P atm \cdot \frac{ΔT}{2700}

Go Mean Effective Pressure

MEP = \frac{W}{d}

Go Pressure

P' = \frac{1}{3} \cdot ρ gas \cdot {V rms}^{2}

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 is the ratio of the partial pressure of water vapor in the mixture to the vapor pressure of water at a given temperature. 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 (p_partial) & Vapor Pressure of Pure Component A (PA^o) 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- 0.000796 = 0.25*0.2/((0.622+0.25)*2700).

How to calculate Relative Humidity?

With Specific Humidity (ω), Partial Pressure (p_partial) & Vapor Pressure of Pure Component A (PA^o) 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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