Air Inlet Temperature based on Adiabatic Saturation Temperature Calculator

✖Saturated exit air humidity is the level of water vapor in air that has reached its saturation point, often expressed as the maximum amount of moisture the air can hold at a specific temperature.ⓘ Saturated Exit Air Humidity [Y_S']			+10% -10%
✖Inlet Air Humidity refers to the actual amount of water vapor present in a unit volume of incoming air.ⓘ Inlet Air Humidity [Y']			+10% -10%
✖The heat of vaporization at adiabatic saturation temperature is the energy required per unit mass to convert liquid water into vapor during an adiabatic process.ⓘ Heat of Vaporization at Adiabatic Saturation Temp [λ_S]			+10% -10%
✖Humid Heat -The Heat capacity of 1Kg dry gas/air and whatever vapour/moisture contained in it. The heat capacity of humid air, expressed per unit mass of dry air in the mixture.ⓘ Humid Heat [C_s]			+10% -10%
✖Adiabatic saturation temperature is the temperature achieved when moist air undergoes an adiabatic process while being saturated with water vapor.ⓘ Adiabatic Saturation Temperature [T_S]			+10% -10%

✖The Temperature of Air is defined as the temperature at which the air-water mixture properties in humidification are calculated.ⓘ Air Inlet Temperature based on Adiabatic Saturation Temperature [T_G]

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Formula

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Air Inlet Temperature based on Adiabatic Saturation Temperature

Formula

`"T"_{"G"} = (("Y"_{"S"}"'")-"Y'")*("λ"_{"S"}/"C"_{"s"})+"T"_{"S"}`

Example

`"24.85714°C"=("0.0172kg/kg of air"-"0.015kg/kg of air")*("2250kJ/kg"/"2.1kJ/kg*K")+"22.5°C"`

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Air Inlet Temperature based on Adiabatic Saturation Temperature Solution

STEP 0: Pre-Calculation Summary

Formula Used

Temperature of Air = (Saturated Exit Air Humidity-Inlet Air Humidity)*(Heat of Vaporization at Adiabatic Saturation Temp/Humid Heat)+Adiabatic Saturation Temperature
T_G = (Y_S'-Y')*(λ_S/C_s)+T_S
This formula uses 6 Variables

Variables Used

Temperature of Air - (Measured in Kelvin) - The Temperature of Air is defined as the temperature at which the air-water mixture properties in humidification are calculated.
Saturated Exit Air Humidity - (Measured in Kg of water vapour per Kg of air) - Saturated exit air humidity is the level of water vapor in air that has reached its saturation point, often expressed as the maximum amount of moisture the air can hold at a specific temperature.
Inlet Air Humidity - (Measured in Kg of water vapour per Kg of air) - Inlet Air Humidity refers to the actual amount of water vapor present in a unit volume of incoming air.
Heat of Vaporization at Adiabatic Saturation Temp - (Measured in Joule per Kilogram) - The heat of vaporization at adiabatic saturation temperature is the energy required per unit mass to convert liquid water into vapor during an adiabatic process.
Humid Heat - (Measured in Joule per Kilogram per K) - Humid Heat -The Heat capacity of 1Kg dry gas/air and whatever vapour/moisture contained in it. The heat capacity of humid air, expressed per unit mass of dry air in the mixture.
Adiabatic Saturation Temperature - (Measured in Kelvin) - Adiabatic saturation temperature is the temperature achieved when moist air undergoes an adiabatic process while being saturated with water vapor.

STEP 1: Convert Input(s) to Base Unit

Saturated Exit Air Humidity: 0.0172 Kg of water vapour per Kg of air --> 0.0172 Kg of water vapour per Kg of air No Conversion Required
Inlet Air Humidity: 0.015 Kg of water vapour per Kg of air --> 0.015 Kg of water vapour per Kg of air No Conversion Required
Heat of Vaporization at Adiabatic Saturation Temp: 2250 Kilojoule per Kilogram --> 2250000 Joule per Kilogram (Check conversion here)
Humid Heat: 2.1 Kilojoule per Kilogram per K --> 2100 Joule per Kilogram per K (Check conversion here)
Adiabatic Saturation Temperature: 22.5 Celsius --> 295.65 Kelvin (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_G = (Y_S'-Y')*(λ_S/C_s)+T_S --> (0.0172-0.015)*(2250000/2100)+295.65

Evaluating ... ...

T_G = 298.007142857143

STEP 3: Convert Result to Output's Unit

298.007142857143 Kelvin -->24.8571428571428 Celsius (Check conversion here)

FINAL ANSWER

24.8571428571428 ≈ 24.85714 Celsius <-- Temperature of Air

(Calculation completed in 00.004 seconds)

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Home » Engineering » Chemical Engineering » Mass Transfer Operations » Humidification & Dehumidification » Adiabatic Saturation Temperature and Wet Bulb Temperature » Air Inlet Temperature based on Adiabatic Saturation Temperature

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Created by Vaibhav Mishra

DJ Sanghvi College of Engineering (DJSCE), Mumbai

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< 13 Adiabatic Saturation Temperature and Wet Bulb Temperature Calculators

Mass Transfer Coefficient based on Wet Bulb Temperature

Go Mass Transfer Coefficient of the Moisture = ((Temperature of Air-Wet Bulb Temperature)/(Air Humidity at Wet Bulb Temperature-Ambient Air Humidity))*(Heat Transfer Coefficient of the Air Film/Heat of Vaporization at Wet Bulb Temperature)

Latent Heat of Air based on Wet Bulb Temperature

Go Heat of Vaporization at Wet Bulb Temperature = ((Temperature of Air-Wet Bulb Temperature)/(Air Humidity at Wet Bulb Temperature-Ambient Air Humidity))*(Heat Transfer Coefficient of the Air Film/Mass Transfer Coefficient of the Moisture)

Air Humidity at Wet Bulb Temperature based on Heat and Mass Transfer Rates

Go Air Humidity at Wet Bulb Temperature = Ambient Air Humidity+(Heat Transfer Coefficient of the Air Film/(Mass Transfer Coefficient of the Moisture*Heat of Vaporization at Wet Bulb Temperature))*(Temperature of Air-Wet Bulb Temperature)

Heat Transfer Coefficient based on Wet Bulb Temperature

Go Heat Transfer Coefficient of the Air Film = Mass Transfer Coefficient of the Moisture*Heat of Vaporization at Wet Bulb Temperature*((Air Humidity at Wet Bulb Temperature-Ambient Air Humidity)/(Temperature of Air-Wet Bulb Temperature))

Ambient Air Temperature based on Wet Bulb Temperature

Go Temperature of Air = Wet Bulb Temperature+(Air Humidity at Wet Bulb Temperature-Ambient Air Humidity)*((Mass Transfer Coefficient of the Moisture*Heat of Vaporization at Wet Bulb Temperature)/Heat Transfer Coefficient of the Air Film)

Ambient Air Humidity based on Wet Bulb Temperature

Go Ambient Air Humidity = Air Humidity at Wet Bulb Temperature-(Heat Transfer Coefficient of the Air Film/(Mass Transfer Coefficient of the Moisture*Heat of Vaporization at Wet Bulb Temperature))*(Temperature of Air-Wet Bulb Temperature)

Wet Bulb Temperature

Go Wet Bulb Temperature = Temperature of Air-(Air Humidity at Wet Bulb Temperature-Ambient Air Humidity)*((Mass Transfer Coefficient of the Moisture*Heat of Vaporization at Wet Bulb Temperature)/Heat Transfer Coefficient of the Air Film)

Saturated Exit Air Humidity based on Adiabatic Saturation Temperature

Go Saturated Exit Air Humidity = (Temperature of Air-Adiabatic Saturation Temperature)*(Humid Heat/Heat of Vaporization at Adiabatic Saturation Temp)+Inlet Air Humidity

Air Inlet Temperature based on Adiabatic Saturation Temperature

Go Temperature of Air = (Saturated Exit Air Humidity-Inlet Air Humidity)*(Heat of Vaporization at Adiabatic Saturation Temp/Humid Heat)+Adiabatic Saturation Temperature

Latent Heat of Air based on Adiabatic Saturation Temperature

Go Heat of Vaporization at Adiabatic Saturation Temp = (Temperature of Air-Adiabatic Saturation Temperature)/(Saturated Exit Air Humidity-Inlet Air Humidity)*Humid Heat

Inlet Air Humidity based on Adiabatic Saturation Temperature

Go Inlet Air Humidity = Saturated Exit Air Humidity-(Temperature of Air-Adiabatic Saturation Temperature)*(Humid Heat/Heat of Vaporization at Adiabatic Saturation Temp)

Humid Heat of Air based on Adiabatic Saturation Temperature

Go Humid Heat = (Saturated Exit Air Humidity-Inlet Air Humidity)/(Temperature of Air-Adiabatic Saturation Temperature)*Heat of Vaporization at Adiabatic Saturation Temp

Adiabatic Saturation Temperature

Go Adiabatic Saturation Temperature = Temperature of Air-(Saturated Exit Air Humidity-Inlet Air Humidity)*(Heat of Vaporization at Adiabatic Saturation Temp/Humid Heat)

Air Inlet Temperature based on Adiabatic Saturation Temperature Formula

Temperature of Air = (Saturated Exit Air Humidity-Inlet Air Humidity)*(Heat of Vaporization at Adiabatic Saturation Temp/Humid Heat)+Adiabatic Saturation Temperature
T_G = (Y_S'-Y')*(λ_S/C_s)+T_S

What is Adiabatic Saturation Temperature?

Adiabatic saturation temperature, is the temperature reached by air as it becomes saturated with water vapor without any heat exchange with the surroundings. This phenomenon is vital in processes involving humidification and cooling, where understanding the adiabatic saturation temperature is essential for designing efficient systems. In chemical engineering applications, precise control of moisture content and temperature is crucial for optimizing reaction conditions and maintaining desired product quality. Adiabatic saturation principles are particularly pertinent in designing equipment such as absorbers, where the interaction between gases and liquids is central to achieving desired process outcomes.

What is Humidification Process?

The humidification process involves adding moisture to indoor air to increase its relative humidity. It begins by measuring the current humidity level using a hygrometer. A desired humidity level is set, typically between 30% and 60%. Different humidification methods like evaporative, steam, or ultrasonic are chosen based on space requirements. The humidifier, often equipped with a humidistat, is then operated to release moisture. As the humidifier maintains the setpoint, it continuously monitors and controls humidity levels. Regular maintenance is essential to prevent issues and ensure safe and effective operation, especially in dry environments or during winter when indoor heating can dry out the air.

How to Calculate Air Inlet Temperature based on Adiabatic Saturation Temperature?

Air Inlet Temperature based on Adiabatic Saturation Temperature calculator uses Temperature of Air = (Saturated Exit Air Humidity-Inlet Air Humidity)*(Heat of Vaporization at Adiabatic Saturation Temp/Humid Heat)+Adiabatic Saturation Temperature to calculate the Temperature of Air, The Air Inlet Temperature based on Adiabatic Saturation Temperature formula is defined as the temperature of the Inlet air to a humidification device calculated based on the exit condition of adiabatic saturation. Temperature of Air is denoted by T_G symbol.

How to calculate Air Inlet Temperature based on Adiabatic Saturation Temperature using this online calculator? To use this online calculator for Air Inlet Temperature based on Adiabatic Saturation Temperature, enter Saturated Exit Air Humidity (Y_S'), Inlet Air Humidity (Y'), Heat of Vaporization at Adiabatic Saturation Temp (λ_S), Humid Heat (C_s) & Adiabatic Saturation Temperature (T_S) and hit the calculate button. Here is how the Air Inlet Temperature based on Adiabatic Saturation Temperature calculation can be explained with given input values -> -521.442857 = (0.0172-0.015)*(2250000/2100)+22.5.

FAQ

What is Air Inlet Temperature based on Adiabatic Saturation Temperature?

The Air Inlet Temperature based on Adiabatic Saturation Temperature formula is defined as the temperature of the Inlet air to a humidification device calculated based on the exit condition of adiabatic saturation and is represented as T_G = (Y_S'-Y')*(λ_S/C_s)+T_S or Temperature of Air = (Saturated Exit Air Humidity-Inlet Air Humidity)*(Heat of Vaporization at Adiabatic Saturation Temp/Humid Heat)+Adiabatic Saturation Temperature. Saturated exit air humidity is the level of water vapor in air that has reached its saturation point, often expressed as the maximum amount of moisture the air can hold at a specific temperature, Inlet Air Humidity refers to the actual amount of water vapor present in a unit volume of incoming air, The heat of vaporization at adiabatic saturation temperature is the energy required per unit mass to convert liquid water into vapor during an adiabatic process, Humid Heat -The Heat capacity of 1Kg dry gas/air and whatever vapour/moisture contained in it. The heat capacity of humid air, expressed per unit mass of dry air in the mixture & Adiabatic saturation temperature is the temperature achieved when moist air undergoes an adiabatic process while being saturated with water vapor.

How to calculate Air Inlet Temperature based on Adiabatic Saturation Temperature?

The Air Inlet Temperature based on Adiabatic Saturation Temperature formula is defined as the temperature of the Inlet air to a humidification device calculated based on the exit condition of adiabatic saturation is calculated using Temperature of Air = (Saturated Exit Air Humidity-Inlet Air Humidity)*(Heat of Vaporization at Adiabatic Saturation Temp/Humid Heat)+Adiabatic Saturation Temperature. To calculate Air Inlet Temperature based on Adiabatic Saturation Temperature, you need Saturated Exit Air Humidity (Y_S'), Inlet Air Humidity (Y'), Heat of Vaporization at Adiabatic Saturation Temp (λ_S), Humid Heat (C_s) & Adiabatic Saturation Temperature (T_S). With our tool, you need to enter the respective value for Saturated Exit Air Humidity, Inlet Air Humidity, Heat of Vaporization at Adiabatic Saturation Temp, Humid Heat & Adiabatic Saturation 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 Temperature of Air?

In this formula, Temperature of Air uses Saturated Exit Air Humidity, Inlet Air Humidity, Heat of Vaporization at Adiabatic Saturation Temp, Humid Heat & Adiabatic Saturation Temperature. We can use 1 other way(s) to calculate the same, which is/are as follows -

Temperature of Air = Wet Bulb Temperature+(Air Humidity at Wet Bulb Temperature-Ambient Air Humidity)*((Mass Transfer Coefficient of the Moisture*Heat of Vaporization at Wet Bulb Temperature)/Heat Transfer Coefficient of the Air Film)

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