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Relative Humidity given Degree of Saturation Formula

GoRelative Humidity given Mass of Water Vapor Formula

GoRelative Humidity given Partial Pressure of Water Vapor Formula

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Relative Humidity is the ratio of the partial pressure of water vapor in the air to the saturation vapor pressure at a given temperature. Check FAQs

Φ = \frac{S}{1 - \frac{p s}{p t} \cdot (1 - S)}

Φ - Relative Humidity?S - Degree of Saturation?p_s - Partial Pressure of Water Vapour in Saturated Air?p_t - Total Pressure of Moist Air?

Relative Humidity given Degree of Saturation Example

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Here is how the Relative Humidity given Degree of Saturation equation looks like with Values.

Here is how the Relative Humidity given Degree of Saturation equation looks like with Units.

Here is how the Relative Humidity given Degree of Saturation equation looks like.

0.5913 = \frac{0.427}{1 - \frac{48.4824}{100} \cdot (1 - 0.427)}

0.5913 = \frac{0.427}{1 - \frac{48.4824Bar}{100Bar} \cdot (1 - 0.427)}

0.5913 = \frac{0.427}{1 - \frac{48.4824}{100} \cdot (1 - 0.427)}

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Relative Humidity given Degree of Saturation Solution

Follow our step by step solution on how to calculate Relative Humidity given Degree of Saturation?

FIRST Step Consider the formula

Φ = \frac{S}{1 - \frac{p s}{p t} \cdot (1 - S)}

Next Step Substitute values of Variables

∴

Φ = \frac{0.427}{1 - \frac{48.4824Bar}{100Bar} \cdot (1 - 0.427)}

Next Step Convert Units

∴

Φ = \frac{0.427}{1 - \frac{4.8E+6Pa}{1E+7Pa} \cdot (1 - 0.427)}

Next Step Prepare to Evaluate

∴

Φ = \frac{0.427}{1 - \frac{4.8E+6}{1E+7} \cdot (1 - 0.427)}

Next Step Evaluate

∴

Φ = 0.591252313764676

LAST Step Rounding Answer

∴

Φ = 0.5913

Relative Humidity given Degree of Saturation Formula Elements

Variables

Relative Humidity

Relative Humidity is the ratio of the partial pressure of water vapor in the air to the saturation vapor pressure at a given temperature.

Symbol: Φ

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Relative Humidity

Degree of Saturation

Degree of Saturation is the ratio of the amount of water vapor in the air to the maximum amount of water vapor the air can hold at a given temperature.

Symbol: S

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Degree of Saturation

Partial Pressure of Water Vapour in Saturated Air

Partial Pressure of Water Vapour in Saturated Air is the pressure exerted by water vapour in the air when it is fully saturated at a given temperature.

Symbol: p_s

Measurement: PressureUnit: Bar

Note: Value can be positive or negative.

Formulas to find Partial Pressure of Water Vapour in Saturated Air

Total Pressure of Moist Air

Total Pressure of Moist Air is the pressure exerted by a mixture of air and water vapor in a given volume of air at a specific temperature.

Symbol: p_t

Measurement: PressureUnit: Bar

Note: Value can be positive or negative.

Formulas to find Total Pressure of Moist Air

Other Formulas to find Relative Humidity

Go Relative Humidity given Mass of Water Vapor

Φ = \frac{m v}{m s}

Go Relative Humidity given Partial Pressure of Water Vapor

Φ = \frac{p v}{p s}

Other formulas in Relative Humidity category

Go Partial Pressure of Vapor given Relative Humidity

p v = Φ \cdot p s

Go Saturation Pressure of Water Vapor given Relative Humidity

p s = \frac{p v}{Φ}

How to Evaluate Relative Humidity given Degree of Saturation?

Relative Humidity given Degree of Saturation evaluator uses Relative Humidity = Degree of Saturation/(1-Partial Pressure of Water Vapour in Saturated Air/Total Pressure of Moist Air*(1-Degree of Saturation)) to evaluate the Relative Humidity, Relative Humidity given Degree of Saturation formula is defined as a measure of the amount of moisture in the air compared to the maximum amount of moisture the air can hold at a given temperature, providing a percentage value that indicates the air's humidity level. Relative Humidity is denoted by Φ symbol.

How to evaluate Relative Humidity given Degree of Saturation using this online evaluator? To use this online evaluator for Relative Humidity given Degree of Saturation, enter Degree of Saturation (S), Partial Pressure of Water Vapour in Saturated Air (p_s) & Total Pressure of Moist Air (p_t) and hit the calculate button.

FAQs on Relative Humidity given Degree of Saturation

What is the formula to find Relative Humidity given Degree of Saturation?

The formula of Relative Humidity given Degree of Saturation is expressed as Relative Humidity = Degree of Saturation/(1-Partial Pressure of Water Vapour in Saturated Air/Total Pressure of Moist Air*(1-Degree of Saturation)). Here is an example- 0.247662 = 0.427/(1-4848239/10000000*(1-0.427)).

How to calculate Relative Humidity given Degree of Saturation?

With Degree of Saturation (S), Partial Pressure of Water Vapour in Saturated Air (p_s) & Total Pressure of Moist Air (p_t) we can find Relative Humidity given Degree of Saturation using the formula - Relative Humidity = Degree of Saturation/(1-Partial Pressure of Water Vapour in Saturated Air/Total Pressure of Moist Air*(1-Degree of Saturation)).

What are the other ways to Calculate Relative Humidity?

Here are the different ways to Calculate Relative Humidity-

Relative Humidity=Mass of Water Vapor in Moist Air/Mass of Water Vapor in Saturated Air
Relative Humidity=Pressure of Water Vapor/Partial Pressure of Water Vapour in Saturated Air

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