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Latent Heat of Air based on Adiabatic Saturation Temperature Formula

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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. Check FAQs

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

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

Latent Heat of Air based on Adiabatic Saturation Temperature Example

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Here is how the Latent Heat of Air based on Adiabatic Saturation Temperature equation looks like with Values.

Here is how the Latent Heat of Air based on Adiabatic Saturation Temperature equation looks like with Units.

Here is how the Latent Heat of Air based on Adiabatic Saturation Temperature equation looks like.

7159.0909 = \frac{30 - 22.5}{0.0172 - 0.015} \cdot 2.1

7159.0909kJ/kg = \frac{30°C - 22.5°C}{0.0172kg/kg of air - 0.015kg/kg of air} \cdot 2.1kJ/kg*K

7159.0909 = \frac{30 - 22.5}{0.0172 - 0.015} \cdot 2.1

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Latent Heat of Air based on Adiabatic Saturation Temperature Solution

Follow our step by step solution on how to calculate Latent Heat of Air based on Adiabatic Saturation Temperature?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

λ S = \frac{30°C - 22.5°C}{0.0172kg/kg of air - 0.015kg/kg of air} \cdot 2.1kJ/kg*K

Next Step Convert Units

∴

λ S = \frac{303.15K - 295.65K}{0.0172kg/kg of air - 0.015kg/kg of air} \cdot 2100J/(kg*K)

Next Step Prepare to Evaluate

∴

λ S = \frac{303.15 - 295.65}{0.0172 - 0.015} \cdot 2100

Next Step Evaluate

∴

λ S = 7159090.90909091J/kg

Next Step Convert to Output's Unit

∴

λ S = 7159.09090909091kJ/kg

LAST Step Rounding Answer

∴

λ S = 7159.0909kJ/kg

Latent Heat of Air based on Adiabatic Saturation Temperature Formula Elements

Variables

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

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

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

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

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

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 Saturated Exit Air Humidity based on Adiabatic Saturation Temperature

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

How to Evaluate Latent Heat of Air based on Adiabatic Saturation Temperature?

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

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

FAQs on Latent Heat of Air based on Adiabatic Saturation Temperature

What is the formula to find Latent Heat of Air based on Adiabatic Saturation Temperature?

The formula of Latent Heat of Air based on Adiabatic Saturation Temperature is expressed as Heat of Vaporization at Adiabatic Saturation Temp = (Temperature of Air-Adiabatic Saturation Temperature)/(Saturated Exit Air Humidity-Inlet Air Humidity)*Humid Heat. Here is an example- 7.159091 = (303.15-295.65)/(0.0172-0.015)*2100.

How to calculate Latent Heat of Air based on Adiabatic Saturation Temperature?

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

Can the Latent Heat of Air based on Adiabatic Saturation Temperature be negative?

No, the Latent Heat of Air based on Adiabatic Saturation Temperature, measured in Latent Heat cannot be negative.

Which unit is used to measure Latent Heat of Air based on Adiabatic Saturation Temperature?

Latent Heat of Air based on Adiabatic Saturation Temperature is usually measured using the Kilojoule per Kilogram[kJ/kg] for Latent Heat. Joule per Kilogram[kJ/kg], BTU per Pound[kJ/kg], Calorie per Gram[kJ/kg] are the few other units in which Latent Heat of Air based on Adiabatic Saturation Temperature can be measured.

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