Adiabatic Saturation Temperature Formula

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Adiabatic saturation temperature is the temperature achieved when moist air undergoes an adiabatic process while being saturated with water vapor. Check FAQs
TS=TG-(YS'-Y')(λSCs)
TS - Adiabatic Saturation Temperature?TG - Temperature of Air?YS' - Saturated Exit Air Humidity?Y' - Inlet Air Humidity?λS - Heat of Vaporization at Adiabatic Saturation Temp?Cs - Humid Heat?

Adiabatic Saturation Temperature Example

With values
With units
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Here is how the Adiabatic Saturation Temperature equation looks like with Values.

Here is how the Adiabatic Saturation Temperature equation looks like with Units.

Here is how the Adiabatic Saturation Temperature equation looks like.

27.6429Edit=30Edit-(0.0172Edit-0.015Edit)(2250Edit2.1Edit)
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Adiabatic Saturation Temperature Solution

Follow our step by step solution on how to calculate Adiabatic Saturation Temperature?

FIRST Step Consider the formula
TS=TG-(YS'-Y')(λSCs)
Next Step Substitute values of Variables
TS=30°C-(0.0172kg/kg of air-0.015kg/kg of air)(2250kJ/kg2.1kJ/kg*K)
Next Step Convert Units
TS=303.15K-(0.0172kg/kg of air-0.015kg/kg of air)(2.3E+6J/kg2100J/(kg*K))
Next Step Prepare to Evaluate
TS=303.15-(0.0172-0.015)(2.3E+62100)
Next Step Evaluate
TS=300.792857142857K
Next Step Convert to Output's Unit
TS=27.6428571428572°C
LAST Step Rounding Answer
TS=27.6429°C

Adiabatic Saturation Temperature Formula Elements

Variables
Adiabatic Saturation Temperature
Adiabatic saturation temperature is the temperature achieved when moist air undergoes an adiabatic process while being saturated with water vapor.
Symbol: TS
Measurement: TemperatureUnit: °C
Note: Value should be greater than -273.15.
Temperature of Air
The Temperature of Air is defined as the temperature at which the air-water mixture properties in humidification are calculated.
Symbol: TG
Measurement: TemperatureUnit: °C
Note: Value should be greater than -273.15.
Saturated Exit Air Humidity
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.
Symbol: YS'
Measurement: Specific HumidityUnit: kg/kg of air
Note: Value should be greater than -1E-08.
Inlet Air Humidity
Inlet Air Humidity refers to the actual amount of water vapor present in a unit volume of incoming air.
Symbol: Y'
Measurement: Specific HumidityUnit: kg/kg of air
Note: Value should be greater than -1E-08.
Heat of Vaporization at Adiabatic Saturation Temp
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.
Symbol: λS
Measurement: Latent HeatUnit: kJ/kg
Note: Value should be greater than 0.
Humid Heat
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.
Symbol: Cs
Measurement: Specific Heat CapacityUnit: kJ/kg*K
Note: Value should be greater than 0.

Other formulas in Adiabatic Saturation Temperature and Wet Bulb Temperature category

​Go Air Inlet Temperature based on Adiabatic Saturation Temperature
TG=(YS'-Y')(λSCs)+TS
​Go Humid Heat of Air based on Adiabatic Saturation Temperature
Cs=YS'-Y'TG-TSλS
​Go Latent Heat of Air based on Adiabatic Saturation Temperature
λS=TG-TSYS'-Y'Cs
​Go Saturated Exit Air Humidity based on Adiabatic Saturation Temperature
YS'=(TG-TS)(CsλS)+Y'

How to Evaluate Adiabatic Saturation Temperature?

Adiabatic Saturation Temperature evaluator uses Adiabatic Saturation Temperature = Temperature of Air-(Saturated Exit Air Humidity-Inlet Air Humidity)*(Heat of Vaporization at Adiabatic Saturation Temp/Humid Heat) to evaluate the Adiabatic Saturation Temperature, The Adiabatic Saturation Temperature formula is defined as the humidity saturation temperature of the inlet air undergoing an adiabatic process. Adiabatic Saturation Temperature is denoted by TS symbol.

How to evaluate Adiabatic Saturation Temperature using this online evaluator? To use this online evaluator for Adiabatic Saturation Temperature, enter Temperature of Air (TG), Saturated Exit Air Humidity (YS'), Inlet Air Humidity (Y'), Heat of Vaporization at Adiabatic Saturation Temp S) & Humid Heat (Cs) and hit the calculate button.

FAQs on Adiabatic Saturation Temperature

What is the formula to find Adiabatic Saturation Temperature?
The formula of Adiabatic Saturation Temperature is expressed as Adiabatic Saturation Temperature = Temperature of Air-(Saturated Exit Air Humidity-Inlet Air Humidity)*(Heat of Vaporization at Adiabatic Saturation Temp/Humid Heat). Here is an example- 300.7929 = 303.15-(0.0172-0.015)*(2250000/2100).
How to calculate Adiabatic Saturation Temperature?
With Temperature of Air (TG), Saturated Exit Air Humidity (YS'), Inlet Air Humidity (Y'), Heat of Vaporization at Adiabatic Saturation Temp S) & Humid Heat (Cs) we can find Adiabatic Saturation Temperature using the formula - Adiabatic Saturation Temperature = Temperature of Air-(Saturated Exit Air Humidity-Inlet Air Humidity)*(Heat of Vaporization at Adiabatic Saturation Temp/Humid Heat).
Can the Adiabatic Saturation Temperature be negative?
Yes, the Adiabatic Saturation Temperature, measured in Temperature can be negative.
Which unit is used to measure Adiabatic Saturation Temperature?
Adiabatic Saturation Temperature is usually measured using the Celsius[°C] for Temperature. Kelvin[°C], Fahrenheit[°C], Rankine[°C] are the few other units in which Adiabatic Saturation Temperature can be measured.
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