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Degree of Saturation given Relative Humidity Formula

GoDegree of Saturation given Partial Pressure of Water Vapour Formula

GoDegree of Saturation given Specific Humidity Formula

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Degree of saturation is the ratio of the volume of water to the volume of voids. Check FAQs

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

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

Degree of Saturation given Relative Humidity Example

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

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

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

0.1264 = 0.6165 \cdot \frac{1 - \frac{91}{100}}{1 - \frac{0.6165 \cdot 91}{100}}

0.1264 = 0.6165 \cdot \frac{1 - \frac{91Bar}{100Bar}}{1 - \frac{0.6165 \cdot 91Bar}{100Bar}}

0.1264 = 0.6165 \cdot \frac{1 - \frac{91}{100}}{1 - \frac{0.6165 \cdot 91}{100}}

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Degree of Saturation given Relative Humidity Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S = 0.6165 \cdot \frac{1 - \frac{91Bar}{100Bar}}{1 - \frac{0.6165 \cdot 91Bar}{100Bar}}

Next Step Convert Units

∴

S = 0.6165 \cdot \frac{1 - \frac{9.1E+6Pa}{1E+7Pa}}{1 - \frac{0.6165 \cdot 9.1E+6Pa}{1E+7Pa}}

Next Step Prepare to Evaluate

∴

S = 0.6165 \cdot \frac{1 - \frac{9.1E+6}{1E+7}}{1 - \frac{0.6165 \cdot 9.1E+6}{1E+7}}

Next Step Evaluate

∴

S = 0.126404582498062

LAST Step Rounding Answer

∴

S = 0.1264

Degree of Saturation given Relative Humidity Formula Elements

Variables

Degree of Saturation

Degree of saturation is the ratio of the volume of water to the volume of voids.

Symbol: S

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Degree of Saturation

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

Partial Pressure of Water Vapour in Saturated Air

Partial pressure of water vapour in saturated air is obtained from the steam tables corresponding to dry bulb 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 the mixture of air and water vapour which is equal to the sum of the respected pressures. It is also called barometric pressure.

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 Degree of Saturation

Go Degree of Saturation given Partial Pressure of Water Vapour

S = \frac{p v}{p s} \cdot \frac{1 - \frac{p s}{p t}}{1 - \frac{p v}{p t}}

Go Degree of Saturation given Specific Humidity

S = \frac{ω}{ω s}

Other formulas in Degree of Saturation category

Go Total Pressure of Moist Air given Degree of Saturation

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

Go Partial Pressure of Water Vapor in Saturated Air given Degree of Saturation

p s = {(\frac{1}{p t} + \frac{S}{p v} \cdot (1 - \frac{p v}{p t}))}^{- 1}

How to Evaluate Degree of Saturation given Relative Humidity?

Degree of Saturation given Relative Humidity evaluator uses Degree of Saturation = Relative Humidity*(1-Partial Pressure of Water Vapour in Saturated Air/Total Pressure of Moist Air)/(1-(Relative Humidity*Partial Pressure of Water Vapour in Saturated Air)/Total Pressure of Moist Air) to evaluate the Degree of Saturation, The Degree of Saturation given relative humidity formula calculates the degree of saturation when the relative humidity, saturation pressure of air, and the total pressure exerted by moist air are given. Degree of Saturation is denoted by S symbol.

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

FAQs on Degree of Saturation given Relative Humidity

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

The formula of Degree of Saturation given Relative Humidity is expressed as Degree of Saturation = Relative Humidity*(1-Partial Pressure of Water Vapour in Saturated Air/Total Pressure of Moist Air)/(1-(Relative Humidity*Partial Pressure of Water Vapour in Saturated Air)/Total Pressure of Moist Air). Here is an example- 0.126405 = 0.616523*(1-9100000/10000000)/(1-(0.616523*9100000)/10000000).

How to calculate Degree of Saturation given Relative Humidity?

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

What are the other ways to Calculate Degree of Saturation?

Here are the different ways to Calculate Degree of Saturation-

Degree of Saturation=Pressure of Water Vapor/Partial Pressure of Water Vapour in Saturated Air*(1-Partial Pressure of Water Vapour in Saturated Air/Total Pressure of Moist Air)/(1-Pressure of Water Vapor/Total Pressure of Moist Air)
Degree of Saturation=Specific Humidity/Specific Humidity of Saturated Air

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