Gas constant of water vapor Formula

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Gas constant is the value of gas constant of water vapour. Check FAQs
Rw=((hfg(Pw-P∞)(T∞-Tw)ρcpTf(Le0.67)))
Rw - Gas constant?hfg - Enthalpy of Evaporation?Pw - Partial Pressure?P∞ - Partial Pressure in air?T∞ - Air Temperature?Tw - Wet Bulb Temperature?ρ - Density?cp - Specific Heat of Air?Tf - Mean Temperature?Le - Lewis Number?

Gas constant of water vapor Example

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Here is how the Gas constant of water vapor equation looks like with Values.

Here is how the Gas constant of water vapor equation looks like with Units.

Here is how the Gas constant of water vapor equation looks like.

0.0001Edit=((90Edit(13Edit-0.016Edit)(35Edit-14Edit)997Edit3Edit55Edit(4.5Edit0.67)))
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Gas constant of water vapor Solution

Follow our step by step solution on how to calculate Gas constant of water vapor?

FIRST Step Consider the formula
Rw=((hfg(Pw-P∞)(T∞-Tw)ρcpTf(Le0.67)))
Next Step Substitute values of Variables
Rw=((90J/kg*K(13-0.016)(35-14)997kg/m³3J/(kg*K)55(4.50.67)))
Next Step Prepare to Evaluate
Rw=((90(13-0.016)(35-14)997355(4.50.67)))
Next Step Evaluate
Rw=0.000123481027536542
LAST Step Rounding Answer
Rw=0.0001

Gas constant of water vapor Formula Elements

Variables
Gas constant
Gas constant is the value of gas constant of water vapour.
Symbol: Rw
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Enthalpy of Evaporation
Enthalpy of evaporation is the amount of energy (enthalpy) that must be added to a liquid substance to transform a quantity of that substance into a gas.
Symbol: hfg
Measurement: Specific EntropyUnit: J/kg*K
Note: Value can be positive or negative.
Partial Pressure
Partial pressure of the water vapor at wet bulb temperature.
Symbol: Pw
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Partial Pressure in air
Partial pressure in air of the water vapor is the pressure of water in the mixture of water and air.
Symbol: P∞
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Air Temperature
Air temperature is the temperature of the air surrounding an individual and is typically measured in degrees Celsius (°C) or in Kelvin.
Symbol: T∞
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Wet Bulb Temperature
Wet Bulb Temperature is the temperature of the wet bulb and denoted by the symbol Tw.
Symbol: Tw
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Density
The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.
Symbol: ρ
Measurement: DensityUnit: kg/m³
Note: Value should be greater than 0.
Specific Heat of Air
Specific heat of air is the heat required to raise the temperature of a air by one degree to that required to raise the temperature of an equal mass of water one degree.
Symbol: cp
Measurement: Specific Heat CapacityUnit: J/(kg*K)
Note: Value can be positive or negative.
Mean Temperature
Mean temperature is the mean value of all the observed temperatures.
Symbol: Tf
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Lewis Number
The Lewis Number is a dimensionless number defined as the ratio of thermal diffusivity to mass diffusivity.
Symbol: Le
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.

Other formulas in Humidification category

​Go Enthalpy of evaporation for water in humidification
hfg=hConv(T∞-Tw)kL(Pw-P∞)
​Go Convective mass transfer coefficient in humidification
kL=hConv(T∞-Tw)hfg(Pw-P∞)

How to Evaluate Gas constant of water vapor?

Gas constant of water vapor evaluator uses Gas constant = (((Enthalpy of Evaporation*(Partial Pressure-Partial Pressure in air))/((Air Temperature-Wet Bulb Temperature)*Density*Specific Heat of Air*Mean Temperature*(Lewis Number^0.67)))) to evaluate the Gas constant, The Gas constant of water vapor formula is defined as the energy and temperature scale values required for the humidification. Gas constant is denoted by Rw symbol.

How to evaluate Gas constant of water vapor using this online evaluator? To use this online evaluator for Gas constant of water vapor, enter Enthalpy of Evaporation (hfg), Partial Pressure (Pw), Partial Pressure in air (P∞), Air Temperature (T∞), Wet Bulb Temperature (Tw), Density (ρ), Specific Heat of Air (cp), Mean Temperature (Tf) & Lewis Number (Le) and hit the calculate button.

FAQs on Gas constant of water vapor

What is the formula to find Gas constant of water vapor?
The formula of Gas constant of water vapor is expressed as Gas constant = (((Enthalpy of Evaporation*(Partial Pressure-Partial Pressure in air))/((Air Temperature-Wet Bulb Temperature)*Density*Specific Heat of Air*Mean Temperature*(Lewis Number^0.67)))). Here is an example- 0.00011 = (((90*(13-0.016))/((35-14)*997*3*55*(4.5^0.67)))).
How to calculate Gas constant of water vapor?
With Enthalpy of Evaporation (hfg), Partial Pressure (Pw), Partial Pressure in air (P∞), Air Temperature (T∞), Wet Bulb Temperature (Tw), Density (ρ), Specific Heat of Air (cp), Mean Temperature (Tf) & Lewis Number (Le) we can find Gas constant of water vapor using the formula - Gas constant = (((Enthalpy of Evaporation*(Partial Pressure-Partial Pressure in air))/((Air Temperature-Wet Bulb Temperature)*Density*Specific Heat of Air*Mean Temperature*(Lewis Number^0.67)))).
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