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-ps/pt*(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 mixture to the vapor pressure of water at a given temperature.
Degree of Saturation - Degree of saturation is the ratio of the volume of water to the volume of voids.
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
Degree of Saturation: 0.2 --> 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
Φ = S/(1-ps/pt*(1-S)) --> 0.2/(1-9100000/10000000*(1-0.2))
Evaluating ... ...
Φ = 0.735294117647059
STEP 3: Convert Result to Output's Unit
0.735294117647059 --> No Conversion Required
FINAL ANSWER
0.735294117647059 0.735294 <-- Relative Humidity
(Calculation completed in 00.004 seconds)

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5 Relative Humidity Calculators

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

Relative Humidity given Degree of Saturation Formula

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-ps/pt*(1-S))

What is Relative Humidity?

Relative humidity (RH) refers to the moisture content of the atmosphere, expressed as a percentage of the amount of moisture that can be retained by the atmosphere (moisture-holding capacity) at a given temperature and pressure without condensation.

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, The Relative Humidity given degree of saturation formula calculates the relative humidity which refers to the moisture content of the atmosphere, expressed as a percentage of the amount of moisture that can be retained by the atmosphere (moisture-holding capacity) at a given temperature and pressure without condensation. 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 (ps) & Total Pressure of Moist Air (pt) and hit the calculate button. Here is how the Relative Humidity given Degree of Saturation calculation can be explained with given input values -> 0.735294 = 0.2/(1-9100000/10000000*(1-0.2)).

FAQ

What is Relative Humidity given Degree of Saturation?
The Relative Humidity given degree of saturation formula calculates the relative humidity which refers to the moisture content of the atmosphere, expressed as a percentage of the amount of moisture that can be retained by the atmosphere (moisture-holding capacity) at a given temperature and pressure without condensation and is represented as Φ = S/(1-ps/pt*(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 volume of water to the volume of voids, 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 Relative Humidity given Degree of Saturation?
The Relative Humidity given degree of saturation formula calculates the relative humidity which refers to the moisture content of the atmosphere, expressed as a percentage of the amount of moisture that can be retained by the atmosphere (moisture-holding capacity) at a given temperature and pressure without condensation 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 (ps) & Total Pressure of Moist Air (pt). 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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