Relative Humidity given Degree of Saturation Calculator

✖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.ⓘ Degree of Saturation [S]			+10% -10%
✖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.ⓘ Partial Pressure of Water Vapour in Saturated Air [p_s]			+10% -10%
✖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.ⓘ Total Pressure of Moist Air [p_t]			+10% -10%

✖Relative Humidity is the ratio of the partial pressure of water vapor in the air to the saturation vapor pressure at a given temperature.ⓘ Relative Humidity given Degree of Saturation [Φ]

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Relative Humidity given Degree of Saturation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Relative Humidity = Degree of Saturation/(1-Partial Pressure of Water Vapour in Saturated Air/Total Pressure of Moist Air*(1-Degree of Saturation))
Φ = S/(1-p_s/p_t*(1-S))
This formula uses 4 Variables

Variables Used

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.
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.
Partial Pressure of Water Vapour in Saturated Air - (Measured in Pascal) - 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.
Total Pressure of Moist Air - (Measured in Pascal) - 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.

STEP 1: Convert Input(s) to Base Unit

Degree of Saturation: 0.427 --> No Conversion Required
Partial Pressure of Water Vapour in Saturated Air: 48.48239 Bar --> 4848239 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

Φ = S/(1-p_s/p_t*(1-S)) --> 0.427/(1-4848239/10000000*(1-0.427))

Evaluating ... ...

Φ = 0.591252313764676

STEP 3: Convert Result to Output's Unit

0.591252313764676 --> No Conversion Required

FINAL ANSWER

0.591252313764676 ≈ 0.591252 <-- Relative Humidity

(Calculation completed in 00.020 seconds)

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

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< Relative Humidity Calculators

Relative Humidity given Degree of Saturation

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

Relative Humidity given Partial Pressure of Water Vapor

LaTeX Go Relative Humidity = Pressure of Water Vapor/Partial Pressure of Water Vapour in Saturated Air

Partial Pressure of Vapor given Relative Humidity

LaTeX Go Pressure of Water Vapor = Relative Humidity*Partial Pressure of Water Vapour in Saturated Air

Relative Humidity given Mass of Water Vapor

LaTeX Go Relative Humidity = Mass of Water Vapor in Moist Air/Mass of Water Vapor in Saturated Air

Relative Humidity given Degree of Saturation Formula

LaTeX Go

Relative Humidity = Degree of Saturation/(1-Partial Pressure of Water Vapour in Saturated Air/Total Pressure of Moist Air*(1-Degree of Saturation))
Φ = S/(1-p_s/p_t*(1-S))

What is Relative Humidity?

Relative humidity is a measure of the amount of water vapor present in the air compared to the maximum amount the air can hold at a given temperature. It is expressed as a percentage. For example, 50% relative humidity means the air contains half the water vapor it could hold at that temperature. High relative humidity indicates that the air is near saturation, while low relative humidity means the air is dry. Relative humidity is important in weather forecasting, climate studies, and understanding human comfort levels.

How to Calculate Relative Humidity given Degree of Saturation?

Relative Humidity given Degree of Saturation calculator 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 calculate 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 calculate Relative Humidity given Degree of Saturation using this online calculator? To use this online calculator 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. Here is how the Relative Humidity given Degree of Saturation calculation can be explained with given input values -> 0.247662 = 0.427/(1-4848239/10000000*(1-0.427)).

FAQ

What is Relative Humidity given Degree of Saturation?

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 and is represented as Φ = S/(1-p_s/p_t*(1-S)) or Relative Humidity = Degree of Saturation/(1-Partial Pressure of Water Vapour in Saturated Air/Total Pressure of Moist Air*(1-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, 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 & 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.

How to calculate Relative Humidity given Degree of Saturation?

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 is calculated using Relative Humidity = Degree of Saturation/(1-Partial Pressure of Water Vapour in Saturated Air/Total Pressure of Moist Air*(1-Degree of Saturation)). To calculate Relative Humidity given Degree of Saturation, you need Degree of Saturation (S), 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 Degree of Saturation, 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 Relative Humidity?

In this formula, Relative Humidity uses Degree of Saturation, 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 -

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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