Wet bulb temperature of humidification Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wet Bulb Temperature = Air Temperature-((0.622*Enthalpy of Evaporation)/(Specific Heat of Air*(Lewis Number^0.67)))*((Partial Pressure/Total Pressure)-(Partial Pressure in air/Total Pressure))
Tw = T∞-((0.622*hfg)/(cp*(Le^0.67)))*((Pw/PT)-(P∞/PT))
This formula uses 8 Variables
Variables Used
Wet Bulb Temperature - Wet Bulb Temperature is the temperature of the wet bulb and denoted by the symbol Tw.
Air Temperature - Air temperature is the temperature of the air surrounding an individual and is typically measured in degrees Celsius (°C) or in Kelvin.
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.
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.
Lewis Number - The Lewis Number is a dimensionless number defined as the ratio of thermal diffusivity to mass diffusivity.
Partial Pressure - Partial pressure of the water vapor at wet bulb temperature.
Total Pressure - (Measured in Pascal) - Total Pressure is the sum of all the forces that the gas molecules exert on the walls of their container.
Partial Pressure in air - Partial pressure in air of the water vapor is the pressure of water in the mixture of water and air.
STEP 1: Convert Input(s) to Base Unit
Air Temperature: 35 --> No Conversion Required
Enthalpy of Evaporation: 90 Joule per Kilogram K --> 90 Joule per Kilogram K No Conversion Required
Specific Heat of Air: 3 Joule per Kilogram per K --> 3 Joule per Kilogram per K No Conversion Required
Lewis Number: 4.5 --> No Conversion Required
Partial Pressure: 13 --> No Conversion Required
Total Pressure: 120000 Pascal --> 120000 Pascal No Conversion Required
Partial Pressure in air: 0.016 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Tw = T∞-((0.622*hfg)/(cp*(Le^0.67)))*((Pw/PT)-(P∞/PT)) --> 35-((0.622*90)/(3*(4.5^0.67)))*((13/120000)-(0.016/120000))
Evaluating ... ...
Tw = 34.9992629677085
STEP 3: Convert Result to Output's Unit
34.9992629677085 --> No Conversion Required
FINAL ANSWER
34.9992629677085 34.99926 <-- Wet Bulb Temperature
(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
Nishan Poojary has created this Calculator and 500+ more calculators!
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Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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Humidification Calculators

Gas phase heat transfer coefficient in dehumidification
​ 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))

Wet bulb temperature of humidification Formula

​LaTeX ​Go
Wet Bulb Temperature = Air Temperature-((0.622*Enthalpy of Evaporation)/(Specific Heat of Air*(Lewis Number^0.67)))*((Partial Pressure/Total Pressure)-(Partial Pressure in air/Total Pressure))
Tw = T∞-((0.622*hfg)/(cp*(Le^0.67)))*((Pw/PT)-(P∞/PT))

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 Wet bulb temperature of humidification?

Wet bulb temperature of humidification calculator uses Wet Bulb Temperature = Air Temperature-((0.622*Enthalpy of Evaporation)/(Specific Heat of Air*(Lewis Number^0.67)))*((Partial Pressure/Total Pressure)-(Partial Pressure in air/Total Pressure)) to calculate the Wet Bulb Temperature, The Wet bulb temperature of humidification formula is defined as the temperature of the parcel of air cooled for saturation. Wet Bulb Temperature is denoted by Tw symbol.

How to calculate Wet bulb temperature of humidification using this online calculator? To use this online calculator for Wet bulb temperature of humidification, enter Air Temperature (T∞), Enthalpy of Evaporation (hfg), Specific Heat of Air (cp), Lewis Number (Le), Partial Pressure (Pw), Total Pressure (PT) & Partial Pressure in air (P∞) and hit the calculate button. Here is how the Wet bulb temperature of humidification calculation can be explained with given input values -> 34.15768 = 35-((0.622*90)/(3*(4.5^0.67)))*((13/120000)-(0.016/120000)).

FAQ

What is Wet bulb temperature of humidification?
The Wet bulb temperature of humidification formula is defined as the temperature of the parcel of air cooled for saturation and is represented as Tw = T∞-((0.622*hfg)/(cp*(Le^0.67)))*((Pw/PT)-(P∞/PT)) or Wet Bulb Temperature = Air Temperature-((0.622*Enthalpy of Evaporation)/(Specific Heat of Air*(Lewis Number^0.67)))*((Partial Pressure/Total Pressure)-(Partial Pressure in air/Total Pressure)). Air temperature is the temperature of the air surrounding an individual and is typically measured in degrees Celsius (°C) or in Kelvin, 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, 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, The Lewis Number is a dimensionless number defined as the ratio of thermal diffusivity to mass diffusivity, Partial pressure of the water vapor at wet bulb temperature, Total Pressure is the sum of all the forces that the gas molecules exert on the walls of their container & Partial pressure in air of the water vapor is the pressure of water in the mixture of water and air.
How to calculate Wet bulb temperature of humidification?
The Wet bulb temperature of humidification formula is defined as the temperature of the parcel of air cooled for saturation is calculated using Wet Bulb Temperature = Air Temperature-((0.622*Enthalpy of Evaporation)/(Specific Heat of Air*(Lewis Number^0.67)))*((Partial Pressure/Total Pressure)-(Partial Pressure in air/Total Pressure)). To calculate Wet bulb temperature of humidification, you need Air Temperature (T∞), Enthalpy of Evaporation (hfg), Specific Heat of Air (cp), Lewis Number (Le), Partial Pressure (Pw), Total Pressure (PT) & Partial Pressure in air (P∞). With our tool, you need to enter the respective value for Air Temperature, Enthalpy of Evaporation, Specific Heat of Air, Lewis Number, Partial Pressure, Total Pressure & Partial Pressure in 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 Wet Bulb Temperature?
In this formula, Wet Bulb Temperature uses Air Temperature, Enthalpy of Evaporation, Specific Heat of Air, Lewis Number, Partial Pressure, Total Pressure & Partial Pressure in air. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Wet Bulb Temperature = Air Temperature-((Enthalpy of Evaporation*(Partial Pressure-Partial Pressure in air))/(Gas constant*Density*Specific Heat of Air*Mean Temperature*(Lewis Number^0.67)))
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