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Temperature of air during humidification Calculator

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✖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.ⓘ Enthalpy of Evaporation [hfg]			+10% -10%
✖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.ⓘ Specific Heat of Air [cp]			+10% -10%
✖The Lewis Number is a dimensionless number defined as the ratio of thermal diffusivity to mass diffusivity.ⓘ Lewis Number [L_e]			+10% -10%
✖Partial pressure of the water vapor at wet bulb temperature.ⓘ Partial Pressure [Pw]			+10% -10%
✖Total Pressure is the sum of all the forces that the gas molecules exert on the walls of their container.ⓘ Total Pressure [P_T]			+10% -10%
✖Partial pressure in air of the water vapor is the pressure of water in the mixture of water and air.ⓘ Partial Pressure in air [P∞]			+10% -10%
✖Wet Bulb Temperature is the temperature of the wet bulb and denoted by the symbol Tw.ⓘ Wet Bulb Temperature [T_w]			+10% -10%

✖Air temperature is the temperature of the air surrounding an individual and is typically measured in degrees Celsius (°C) or in Kelvin.ⓘ Temperature of air during humidification [T∞]

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Temperature of air during humidification Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))+Wet Bulb Temperature
T∞ = (((0.622*hfg)/(cp*(L_e^0.67)))*((Pw/P_T)-(P∞/P_T)))+T_w
This formula uses 8 Variables

Variables Used

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.
Wet Bulb Temperature - Wet Bulb Temperature is the temperature of the wet bulb and denoted by the symbol Tw.

STEP 1: Convert Input(s) to Base Unit

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
Wet Bulb Temperature: 14 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T∞ = (((0.622*hfg)/(cp*(L_e^0.67)))*((Pw/P_T)-(P∞/P_T)))+T_w --> (((0.622*90)/(3*(4.5^0.67)))*((13/120000)-(0.016/120000)))+14

Evaluating ... ...

T∞ = 14.0007370322915

STEP 3: Convert Result to Output's Unit

14.0007370322915 --> No Conversion Required

FINAL ANSWER

14.0007370322915 ≈ 14.00074 <-- Air Temperature

(Calculation completed in 00.020 seconds)

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Home » Physics » Heat and Mass Transfer » Mechanical » Humidification » Temperature of air during humidification

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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

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))

Temperature of air during humidification Formula

LaTeX Go

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 Temperature of air during humidification?

Temperature of air during humidification calculator uses 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)))+Wet Bulb Temperature to calculate the Air Temperature, The Temperature of air during humidification formula is defined as the temperature of the air required to humidify the water. Air Temperature is denoted by T∞ symbol.

How to calculate Temperature of air during humidification using this online calculator? To use this online calculator for Temperature of air during humidification, enter Enthalpy of Evaporation (hfg), Specific Heat of Air (cp), Lewis Number (L_e), Partial Pressure (Pw), Total Pressure (P_T), Partial Pressure in air (P∞) & Wet Bulb Temperature (T_w) and hit the calculate button. Here is how the Temperature of air during humidification calculation can be explained with given input values -> 14.84232 = (((0.622*90)/(3*(4.5^0.67)))*((13/120000)-(0.016/120000)))+14.

FAQ

What is Temperature of air during humidification?

The Temperature of air during humidification formula is defined as the temperature of the air required to humidify the water and is represented as T∞ = (((0.622*hfg)/(cp*(L_e^0.67)))*((Pw/P_T)-(P∞/P_T)))+T_w or 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)))+Wet Bulb Temperature. 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 & Wet Bulb Temperature is the temperature of the wet bulb and denoted by the symbol Tw.

How to calculate Temperature of air during humidification?

The Temperature of air during humidification formula is defined as the temperature of the air required to humidify the water is calculated using 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)))+Wet Bulb Temperature. To calculate Temperature of air during humidification, you need Enthalpy of Evaporation (hfg), Specific Heat of Air (cp), Lewis Number (L_e), Partial Pressure (Pw), Total Pressure (P_T), Partial Pressure in air (P∞) & Wet Bulb Temperature (T_w). With our tool, you need to enter the respective value for Enthalpy of Evaporation, Specific Heat of Air, Lewis Number, Partial Pressure, Total Pressure, Partial Pressure in air & Wet Bulb Temperature 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 Air Temperature?

In this formula, Air Temperature uses Enthalpy of Evaporation, Specific Heat of Air, Lewis Number, Partial Pressure, Total Pressure, Partial Pressure in air & Wet Bulb Temperature. We can use 1 other way(s) to calculate the same, which is/are as follows -

Air Temperature = (((Enthalpy of Evaporation*(Partial Pressure-Partial Pressure in air))/(Gas constant*Density*Specific Heat of Air*Mean Temperature*(Lewis Number^0.67))))+Wet Bulb Temperature

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