Relative Humidity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Relative Humidity = Specific Humidity*Partial Pressure/((0.622+Specific Humidity)*Vapor Pressure of Pure Component A)
Φ = ω*ppartial/((0.622+ω)*PAo)
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.
Specific Humidity - Specific Humidity is the ratio of the mass of water vapor to the total mass of the air parcel.
Partial Pressure - (Measured in Pascal) - Partial Pressure is the notional pressure of that constituent gas if it alone occupied the entire volume of the original mixture at the same temperature.
Vapor Pressure of Pure Component A - (Measured in Pascal) - Vapor Pressure of Pure Component A is the pressure exerted by a liquid or solid molecules of only A in a closed system in which they are in equilibrium with the vapour phase.
STEP 1: Convert Input(s) to Base Unit
Specific Humidity: 0.25 --> No Conversion Required
Partial Pressure: 0.2 Pascal --> 0.2 Pascal No Conversion Required
Vapor Pressure of Pure Component A: 2700 Pascal --> 2700 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Φ = ω*ppartial/((0.622+ω)*PAo) --> 0.25*0.2/((0.622+0.25)*2700)
Evaluating ... ...
Φ = 2.12368331634387E-05
STEP 3: Convert Result to Output's Unit
2.12368331634387E-05 --> No Conversion Required
FINAL ANSWER
2.12368331634387E-05 2.1E-5 <-- Relative Humidity
(Calculation completed in 00.004 seconds)

Credits

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20 Ideal Gas Calculators

Work Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume
Go Work done in Thermodynamic Process = (Initial Pressure of System*Initial Volume of System-Final Pressure of System*Final Volume of System)/((Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume)-1)
Final Temperature in Adiabatic Process (using pressure)
Go Final Temperature in Adiabatic Process = Initial temperature of Gas*(Final Pressure of System/Initial Pressure of System)^(1-1/(Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume))
Final Temperature in Adiabatic Process (using volume)
Go Final Temperature in Adiabatic Process = Initial temperature of Gas*(Initial Volume of System/Final Volume of System)^((Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume)-1)
Work Done in Isothermal Process (using volume)
Go Work done in Thermodynamic Process = Number of Moles of Ideal Gas* [R]*Temperature of Gas*ln(Final Volume of System/Initial Volume of System)
Heat Transferred in Isothermal Process (using Pressure)
Go Heat Transferred in Thermodynamic Process = [R]*Initial temperature of Gas*ln(Initial Pressure of System/Final Pressure of System)
Heat Transferred in Isothermal Process (using Volume)
Go Heat Transferred in Thermodynamic Process = [R]*Initial temperature of Gas*ln(Final Volume of System/Initial Volume of System)
Work done in Isothermal Process (using Pressure)
Go Work done in Thermodynamic Process = [R]*Temperature of Gas*ln(Initial Pressure of System/Final Pressure of System)
Relative Humidity
Go Relative Humidity = Specific Humidity*Partial Pressure/((0.622+Specific Humidity)*Vapor Pressure of Pure Component A)
Heat Transfer in Isobaric Process
Go Heat Transferred in Thermodynamic Process = Number of Moles of Ideal Gas*Molar Specific Heat Capacity at Constant Pressure*Temperature Difference
Heat Transfer in Isochoric Process
Go Heat Transferred in Thermodynamic Process = Number of Moles of Ideal Gas*Molar Specific Heat Capacity at Constant Volume*Temperature Difference
Change in Internal Energy of System
Go Change in Internal Energy = Number of Moles of Ideal Gas*Molar Specific Heat Capacity at Constant Volume*Temperature Difference
Enthalpy of System
Go System Enthalpy = Number of Moles of Ideal Gas*Molar Specific Heat Capacity at Constant Pressure*Temperature Difference
Ideal Gas Law for Calculating Volume
Go Ideal Gas Law for Calculating Volume = [R]*Temperature of Gas/Total Pressure of Ideal Gas
Ideal Gas Law for Calculating Pressure
Go Ideal Gas Law for calculating Pressure = [R]*(Temperature of Gas)/Total Volume of System
Adiabatic Index
Go Heat Capacity Ratio = Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume
Specific Heat Capacity at Constant Pressure
Go Molar Specific Heat Capacity at Constant Pressure = [R]+Molar Specific Heat Capacity at Constant Volume
Specific Heat Capacity at Constant Volume
Go Molar Specific Heat Capacity at Constant Volume = Molar Specific Heat Capacity at Constant Pressure-[R]
Henry Law Constant using Mole Fraction and Partial Pressure of Gas
Go Henry Law Constant = Partial Pressure/Mole Fraction of Component in Liquid Phase
Mole Fraction of Dissolved Gas using Henry Law
Go Mole Fraction of Component in Liquid Phase = Partial Pressure/Henry Law Constant
Partial Pressure using Henry Law
Go Partial Pressure = Henry Law Constant*Mole Fraction of Component in Liquid Phase

8 Pressure Relations Calculators

Relative Humidity
Go Relative Humidity = Specific Humidity*Partial Pressure/((0.622+Specific Humidity)*Vapor Pressure of Pure Component A)
Critical Compressibility
Go Compressibility Factor = (Critical Pressure*Critical Volume*10^(-3))/(Specific Gas Constant*Critical Temperature)
Pseudo-Reduced Specific Volume
Go Pseudo Reduced Specific Volume = Specific Volume*Critical Pressure/([R]*Critical Temperature)
Compressibility Factor
Go Compressibility Factor = (Pressure Object*Specific Volume)/(Specific Gas Constant*Temperature)
Partial Pressure of Water Vapour
Go Partial Pressure = Pressure of Gas*1.8*Atmospheric Pressure*Temperature Difference/2700
Pressure
Go Pressure = 1/3*Density of Gas*Root Mean Square Velocity^2
Reduced Pressure
Go Reduced Pressure = Pressure/Critical Pressure
Mean Effective Pressure
Go Mean Effective Pressure = Work/Displacement

Relative Humidity Formula

Relative Humidity = Specific Humidity*Partial Pressure/((0.622+Specific Humidity)*Vapor Pressure of Pure Component A)
Φ = ω*ppartial/((0.622+ω)*PAo)

What is Relative Humidity?

The relative humidity of an air-water mixture is defined as the ratio of the partial pressure of water vapor in the mixture to the equilibrium vapor pressure of water over a flat surface of pure water[10] at a given temperature.
The relative humidity is normally expressed as a percentage; a higher percentage means that the air-water mixture is more humid. At 100% relative humidity, the air is saturated and is at its dew point.

How to Calculate Relative Humidity?

Relative Humidity calculator uses Relative Humidity = Specific Humidity*Partial Pressure/((0.622+Specific Humidity)*Vapor Pressure of Pure Component A) to calculate the 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. Relative Humidity is denoted by Φ symbol.

How to calculate Relative Humidity using this online calculator? To use this online calculator for Relative Humidity, enter Specific Humidity (ω), Partial Pressure (ppartial) & Vapor Pressure of Pure Component A (PAo) and hit the calculate button. Here is how the Relative Humidity calculation can be explained with given input values -> 0.000796 = 0.25*0.2/((0.622+0.25)*2700).

FAQ

What is 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 and is represented as Φ = ω*ppartial/((0.622+ω)*PAo) or Relative Humidity = Specific Humidity*Partial Pressure/((0.622+Specific Humidity)*Vapor Pressure of Pure Component A). Specific Humidity is the ratio of the mass of water vapor to the total mass of the air parcel, Partial Pressure is the notional pressure of that constituent gas if it alone occupied the entire volume of the original mixture at the same temperature & Vapor Pressure of Pure Component A is the pressure exerted by a liquid or solid molecules of only A in a closed system in which they are in equilibrium with the vapour phase.
How to calculate 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 is calculated using Relative Humidity = Specific Humidity*Partial Pressure/((0.622+Specific Humidity)*Vapor Pressure of Pure Component A). To calculate Relative Humidity, you need Specific Humidity (ω), Partial Pressure (ppartial) & Vapor Pressure of Pure Component A (PAo). With our tool, you need to enter the respective value for Specific Humidity, Partial Pressure & Vapor Pressure of Pure Component A and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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