Gas constant of water vapor Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))))
Rw = (((hfg*(Pw-P∞))/((T∞-Tw)*ρ*cp*Tf*(Le^0.67))))
This formula uses 10 Variables
Variables Used
Gas constant - Gas constant is the value of gas constant of water vapour.
Enthalpy of Evaporation - (Measured in Joule per Kilogram K) - 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.
Partial Pressure - Partial pressure of the water vapor at wet bulb temperature.
Partial Pressure in air - Partial pressure in air of the water vapor is the pressure of water in the mixture of water and air.
Air Temperature - Air temperature is the temperature of the air surrounding an individual and is typically measured in degrees Celsius (°C) or in Kelvin.
Wet Bulb Temperature - Wet Bulb Temperature is the temperature of the wet bulb and denoted by the symbol Tw.
Density - (Measured in Kilogram per Cubic Meter) - 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.
Specific Heat of Air - (Measured in Joule per Kilogram per K) - 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.
Mean Temperature - Mean temperature is the mean value of all the observed temperatures.
Lewis Number - The Lewis Number is a dimensionless number defined as the ratio of thermal diffusivity to mass diffusivity.
STEP 1: Convert Input(s) to Base Unit
Enthalpy of Evaporation: 90 Joule per Kilogram K --> 90 Joule per Kilogram K No Conversion Required
Partial Pressure: 13 --> No Conversion Required
Partial Pressure in air: 0.016 --> No Conversion Required
Air Temperature: 35 --> No Conversion Required
Wet Bulb Temperature: 14 --> No Conversion Required
Density: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required
Specific Heat of Air: 3 Joule per Kilogram per K --> 3 Joule per Kilogram per K No Conversion Required
Mean Temperature: 55 --> No Conversion Required
Lewis Number: 4.5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Rw = (((hfg*(Pw-P∞))/((T∞-Tw)*ρ*cp*Tf*(Le^0.67)))) --> (((90*(13-0.016))/((35-14)*997*3*55*(4.5^0.67))))
Evaluating ... ...
Rw = 0.000123481027536542
STEP 3: Convert Result to Output's Unit
0.000123481027536542 --> No Conversion Required
FINAL ANSWER
0.000123481027536542 0.000123 <-- Gas constant
(Calculation completed in 00.004 seconds)

Credits

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Created by Nishan Poojary
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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National Institute Of Technology (NIT), Hamirpur
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Humidification Calculators

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​ LaTeX ​ Go Gas Phase Heat Transfer Coefficient = ((Liquid Phase Heat Transfer Coefficient*(Inside Temperature-Liquid layer temperature))-(Enthalpy of Evaporation*Gas Phase Mass Transfer Coefficient*(Absolute Humidity of Air(tg)-Absolute Humidity (ti))))/(Bulk Gas Temperature-Inside Temperature)
Liquid layer temperature in dehumidification
​ LaTeX ​ Go Liquid layer temperature = Inside Temperature-(((Gas Phase Heat Transfer Coefficient*(Bulk Gas Temperature-Inside Temperature))+Enthalpy of Evaporation*Gas Phase Mass Transfer Coefficient*(Absolute Humidity of Air(tg)-Absolute Humidity (ti)))/Liquid Phase Heat Transfer Coefficient)
Convective mass transfer coefficient in humidification
​ LaTeX ​ Go Convective Mass Transfer Coefficient = (Convective Heat Transfer Coefficient*(Air Temperature-Wet Bulb Temperature))/(Enthalpy of Evaporation*(Partial Pressure-Partial Pressure in air))
Enthalpy of evaporation for water in humidification
​ LaTeX ​ Go Enthalpy of Evaporation = (Convective Heat Transfer Coefficient*(Air Temperature-Wet Bulb Temperature))/(Convective Mass Transfer Coefficient*(Partial Pressure-Partial Pressure in air))

Gas constant of water vapor Formula

​LaTeX ​Go
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))))
Rw = (((hfg*(Pw-P∞))/((T∞-Tw)*ρ*cp*Tf*(Le^0.67))))

What is humidification?

Humidification is the process in which the moisture or water vapor or humidity is added to the air. Common equipment used in this process is a humidifier. Dehumidification as the term suggests, is the opposite of humidification since dehumidification means removing the moisture from the air. Common equipment used in this process is a dehumidifier.
Humidity is the presence of water vapor or moisture in the air, while relative humidity, on the other hand, is the comparison of the actual moisture or water vapor in the air vs. the total water vapor or moisture that the air can handle.

How to Calculate Gas constant of water vapor?

Gas constant of water vapor calculator 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 calculate 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 calculate Gas constant of water vapor using this online calculator? To use this online calculator 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. Here is how the Gas constant of water vapor calculation can be explained with given input values -> 0.00011 = (((90*(13-0.016))/((35-14)*997*3*55*(4.5^0.67)))).

FAQ

What is Gas constant of water vapor?
The Gas constant of water vapor formula is defined as the energy and temperature scale values required for the humidification and is represented as Rw = (((hfg*(Pw-P∞))/((T∞-Tw)*ρ*cp*Tf*(Le^0.67)))) or 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)))). 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, Partial pressure of the water vapor at wet bulb temperature, Partial pressure in air of the water vapor is the pressure of water in the mixture of water and air, Air temperature is the temperature of the air surrounding an individual and is typically measured in degrees Celsius (°C) or in Kelvin, Wet Bulb Temperature is the temperature of the wet bulb and denoted by the symbol Tw, 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, 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, Mean temperature is the mean value of all the observed temperatures & The Lewis Number is a dimensionless number defined as the ratio of thermal diffusivity to mass diffusivity.
How to calculate Gas constant of water vapor?
The Gas constant of water vapor formula is defined as the energy and temperature scale values required for the humidification is calculated using 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 calculate Gas constant of water vapor, you need 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). With our tool, you need to enter the respective value for Enthalpy of Evaporation, Partial Pressure, Partial Pressure in air, Air Temperature, Wet Bulb Temperature, Density, Specific Heat of Air, Mean Temperature & Lewis Number 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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