Degree of Saturation given Relative Humidity Calculator

✖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 [Φ]			+10% -10%
✖Partial pressure of water vapour in saturated air is obtained from the steam tables corresponding to dry bulb temperature.ⓘ Partial Pressure of Water Vapour in Saturated Air [p_s]			+10% -10%
✖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.ⓘ Total Pressure of Moist Air [p_t]			+10% -10%

✖Degree of saturation is the ratio of the volume of water to the volume of voids.ⓘ Degree of Saturation given Relative Humidity [S]

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Degree of Saturation given Relative Humidity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
S = Φ*(1-p_s/p_t)/(1-(Φ*p_s)/p_t)
This formula uses 4 Variables

Variables Used

Degree of Saturation - Degree of saturation is the ratio of the volume of water to the volume of voids.
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.
Partial Pressure of Water Vapour in Saturated Air - (Measured in Pascal) - Partial pressure of water vapour in saturated air is obtained from the steam tables corresponding to dry bulb temperature.
Total Pressure of Moist Air - (Measured in Pascal) - 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.

STEP 1: Convert Input(s) to Base Unit

Relative Humidity: 0.616523 --> No Conversion Required
Partial Pressure of Water Vapour in Saturated Air: 91 Bar --> 9100000 Pascal (Check conversion here)
Total Pressure of Moist Air: 100 Bar --> 10000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = Φ*(1-p_s/p_t)/(1-(Φ*p_s)/p_t) --> 0.616523*(1-9100000/10000000)/(1-(0.616523*9100000)/10000000)

Evaluating ... ...

S = 0.126404582498062

STEP 3: Convert Result to Output's Unit

0.126404582498062 --> No Conversion Required

FINAL ANSWER

0.126404582498062 ≈ 0.126405 <-- Degree of Saturation

(Calculation completed in 00.004 seconds)

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Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore

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< Degree of Saturation Calculators

Degree of Saturation given Partial Pressure of Water Vapour

LaTeX Go 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)

Total Pressure of Moist Air given Degree of Saturation

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

Degree of Saturation given Relative Humidity

LaTeX Go 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)

Degree of Saturation given Specific Humidity

LaTeX Go Degree of Saturation = Specific Humidity/Specific Humidity of Saturated Air

Degree of Saturation given Relative Humidity Formula

LaTeX Go

What is degree of saturation?

The degree of saturation is defined as the ratio of actual humidity ratio or specific humidity to the humidity ratio or specific humidity of a saturated mixture at the same temperature and pressure.

How to Calculate Degree of Saturation given Relative Humidity?

Degree of Saturation given Relative Humidity calculator 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 calculate 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 calculate Degree of Saturation given Relative Humidity using this online calculator? To use this online calculator 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. Here is how the Degree of Saturation given Relative Humidity calculation can be explained with given input values -> 0.126405 = 0.616523*(1-9100000/10000000)/(1-(0.616523*9100000)/10000000).

FAQ

What is Degree of Saturation given Relative Humidity?

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 and is represented as S = Φ*(1-p_s/p_t)/(1-(Φ*p_s)/p_t) or 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). 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, Partial pressure of water vapour in saturated air is obtained from the steam tables corresponding to dry bulb temperature & 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.

How to calculate Degree of Saturation given Relative Humidity?

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 is calculated using 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 calculate Degree of Saturation given Relative Humidity, you need Relative Humidity (Φ), Partial Pressure of Water Vapour in Saturated Air (p_s) & Total Pressure of Moist Air (p_t). With our tool, you need to enter the respective value for Relative Humidity, Partial Pressure of Water Vapour in Saturated Air & Total Pressure of Moist Air and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Degree of Saturation?

In this formula, Degree of Saturation uses Relative Humidity, Partial Pressure of Water Vapour in Saturated Air & Total Pressure of Moist Air. We can use 2 other way(s) to calculate the same, which is/are as follows -

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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