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Saturated Exit Air Humidity based on Adiabatic Saturation Temperature Formula

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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. Check FAQs

Y S' = (T G - T S) \cdot (\frac{C s}{λ S}) + Y'

Y_S' - Saturated Exit Air Humidity?T_G - Temperature of Air?T_S - Adiabatic Saturation Temperature?C_s - Humid Heat?λ_S - Heat of Vaporization at Adiabatic Saturation Temp?Y' - Inlet Air Humidity?

Saturated Exit Air Humidity based on Adiabatic Saturation Temperature Example

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Here is how the Saturated Exit Air Humidity based on Adiabatic Saturation Temperature equation looks like with Values.

Here is how the Saturated Exit Air Humidity based on Adiabatic Saturation Temperature equation looks like with Units.

Here is how the Saturated Exit Air Humidity based on Adiabatic Saturation Temperature equation looks like.

0.022 = (30 - 22.5) \cdot (\frac{2.1}{2250}) + 0.015

0.022kg/kg of air = (30°C - 22.5°C) \cdot (\frac{2.1kJ/kg*K}{2250kJ/kg}) + 0.015kg/kg of air

0.022 = (30 - 22.5) \cdot (\frac{2.1}{2250}) + 0.015

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Saturated Exit Air Humidity based on Adiabatic Saturation Temperature Solution

Follow our step by step solution on how to calculate Saturated Exit Air Humidity based on Adiabatic Saturation Temperature?

FIRST Step Consider the formula

Y S' = (T G - T S) \cdot (\frac{C s}{λ S}) + Y'

Next Step Substitute values of Variables

∴

Y S' = (30°C - 22.5°C) \cdot (\frac{2.1kJ/kg*K}{2250kJ/kg}) + 0.015kg/kg of air

Next Step Convert Units

∴

Y S' = (303.15K - 295.65K) \cdot (\frac{2100J/(kg*K)}{2.3E+6J/kg}) + 0.015kg/kg of air

Next Step Prepare to Evaluate

∴

Y S' = (303.15 - 295.65) \cdot (\frac{2100}{2.3E+6}) + 0.015

LAST Step Evaluate

∴

Y S' = 0.022kg/kg of air

Saturated Exit Air Humidity based on Adiabatic Saturation Temperature Formula Elements

Variables

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: Y_S'

Measurement: Specific HumidityUnit: kg/kg of air

Note: Value should be greater than -1E-08.

Formulas to find Saturated Exit Air Humidity

Temperature of Air

The Temperature of Air is defined as the temperature at which the air-water mixture properties in humidification are calculated.

Symbol: T_G

Measurement: TemperatureUnit: °C

Note: Value should be greater than -273.15.

Formulas to find Temperature of Air

Adiabatic Saturation Temperature

Adiabatic saturation temperature is the temperature achieved when moist air undergoes an adiabatic process while being saturated with water vapor.

Symbol: T_S

Measurement: TemperatureUnit: °C

Note: Value should be greater than -273.15.

Formulas to find Adiabatic Saturation Temperature

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: C_s

Measurement: Specific Heat CapacityUnit: kJ/kg*K

Note: Value should be greater than 0.

Formulas to find Humid Heat

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: λ_S

Measurement: Latent HeatUnit: kJ/kg

Note: Value should be greater than 0.

Formulas to find Heat of Vaporization at Adiabatic Saturation Temp

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.

Formulas to find Inlet Air Humidity

Other formulas in Adiabatic Saturation Temperature and Wet Bulb Temperature category

Go Adiabatic Saturation Temperature

T S = T G - (Y S' - Y') \cdot (\frac{λ S}{C s})

Go Air Inlet Temperature based on Adiabatic Saturation Temperature

T G = (Y S' - Y') \cdot (\frac{λ S}{C s}) + T S

Go Humid Heat of Air based on Adiabatic Saturation Temperature

C s = \frac{Y S' - Y'}{T G - T S} \cdot λ S

Go Latent Heat of Air based on Adiabatic Saturation Temperature

λ S = \frac{T G - T S}{Y S' - Y'} \cdot C s

How to Evaluate Saturated Exit Air Humidity based on Adiabatic Saturation Temperature?

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

How to evaluate Saturated Exit Air Humidity based on Adiabatic Saturation Temperature using this online evaluator? To use this online evaluator for Saturated Exit Air Humidity based on Adiabatic Saturation Temperature, enter Temperature of Air (T_G), Adiabatic Saturation Temperature (T_S), Humid Heat (C_s), Heat of Vaporization at Adiabatic Saturation Temp (λ_S) & Inlet Air Humidity (Y') and hit the calculate button.

FAQs on Saturated Exit Air Humidity based on Adiabatic Saturation Temperature

What is the formula to find Saturated Exit Air Humidity based on Adiabatic Saturation Temperature?

The formula of Saturated Exit Air Humidity based on Adiabatic Saturation Temperature is expressed as Saturated Exit Air Humidity = (Temperature of Air-Adiabatic Saturation Temperature)*(Humid Heat/Heat of Vaporization at Adiabatic Saturation Temp)+Inlet Air Humidity. Here is an example- 0.022 = (303.15-295.65)*(2100/2250000)+0.015.

How to calculate Saturated Exit Air Humidity based on Adiabatic Saturation Temperature?

With Temperature of Air (T_G), Adiabatic Saturation Temperature (T_S), Humid Heat (C_s), Heat of Vaporization at Adiabatic Saturation Temp (λ_S) & Inlet Air Humidity (Y') we can find Saturated Exit Air Humidity based on Adiabatic Saturation Temperature using the formula - Saturated Exit Air Humidity = (Temperature of Air-Adiabatic Saturation Temperature)*(Humid Heat/Heat of Vaporization at Adiabatic Saturation Temp)+Inlet Air Humidity.

Can the Saturated Exit Air Humidity based on Adiabatic Saturation Temperature be negative?

Yes, the Saturated Exit Air Humidity based on Adiabatic Saturation Temperature, measured in Specific Humidity can be negative.

Which unit is used to measure Saturated Exit Air Humidity based on Adiabatic Saturation Temperature?

Saturated Exit Air Humidity based on Adiabatic Saturation Temperature is usually measured using the Kg of water vapour per Kg of air[kg/kg of air] for Specific Humidity. are the few other units in which Saturated Exit Air Humidity based on Adiabatic Saturation Temperature can be measured.

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