Inlet Air Humidity based on Adiabatic Saturation Temperature Solution

STEP 0: Pre-Calculation Summary
Formula Used
Inlet Air Humidity = Saturated Exit Air Humidity-(Temperature of Air-Adiabatic Saturation Temperature)*(Humid Heat/Heat of Vaporization at Adiabatic Saturation Temp)
Y' = YS'-(TG-TS)*(Cs/λS)
This formula uses 6 Variables
Variables Used
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.
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.
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.
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.
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.
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.
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
Temperature of Air: 30 Celsius --> 303.15 Kelvin (Check conversion ​here)
Adiabatic Saturation Temperature: 22.5 Celsius --> 295.65 Kelvin (Check conversion ​here)
Humid Heat: 2.1 Kilojoule per Kilogram per K --> 2100 Joule per Kilogram per K (Check conversion ​here)
Heat of Vaporization at Adiabatic Saturation Temp: 2250 Kilojoule per Kilogram --> 2250000 Joule per Kilogram (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Y' = YS'-(TG-TS)*(CsS) --> 0.0172-(303.15-295.65)*(2100/2250000)
Evaluating ... ...
Y' = 0.0102
STEP 3: Convert Result to Output's Unit
0.0102 Kg of water vapour per Kg of air --> No Conversion Required
FINAL ANSWER
0.0102 Kg of water vapour per Kg of air <-- Inlet Air Humidity
(Calculation completed in 00.023 seconds)

Credits

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Created by Vaibhav Mishra
DJ Sanghvi College of Engineering (DJSCE), Mumbai
Vaibhav Mishra has created this Calculator and 300+ more calculators!
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Verified by Prerana Bakli
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
Prerana Bakli has verified this Calculator and 1600+ more calculators!

Adiabatic Saturation Temperature and Wet Bulb Temperature Calculators

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

Inlet Air Humidity based on Adiabatic Saturation Temperature Formula

​LaTeX ​Go
Inlet Air Humidity = Saturated Exit Air Humidity-(Temperature of Air-Adiabatic Saturation Temperature)*(Humid Heat/Heat of Vaporization at Adiabatic Saturation Temp)
Y' = YS'-(TG-TS)*(Cs/λS)

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 Inlet Air Humidity based on Adiabatic Saturation Temperature?

Inlet Air Humidity based on Adiabatic Saturation Temperature calculator uses Inlet Air Humidity = Saturated Exit Air Humidity-(Temperature of Air-Adiabatic Saturation Temperature)*(Humid Heat/Heat of Vaporization at Adiabatic Saturation Temp) to calculate the Inlet Air Humidity, The Inlet 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. Inlet Air Humidity is denoted by Y' symbol.

How to calculate Inlet Air Humidity based on Adiabatic Saturation Temperature using this online calculator? To use this online calculator for Inlet Air Humidity based on Adiabatic Saturation Temperature, enter Saturated Exit Air Humidity (YS'), Temperature of Air (TG), Adiabatic Saturation Temperature (TS), Humid Heat (Cs) & Heat of Vaporization at Adiabatic Saturation Temp S) and hit the calculate button. Here is how the Inlet Air Humidity based on Adiabatic Saturation Temperature calculation can be explained with given input values -> 0.0102 = 0.0172-(303.15-295.65)*(2100/2250000).

FAQ

What is Inlet Air Humidity based on Adiabatic Saturation Temperature?
The Inlet 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 and is represented as Y' = YS'-(TG-TS)*(CsS) or Inlet Air Humidity = Saturated Exit Air Humidity-(Temperature of Air-Adiabatic Saturation Temperature)*(Humid Heat/Heat of Vaporization at Adiabatic Saturation Temp). 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, The Temperature of Air is defined as the temperature at which the air-water mixture properties in humidification are calculated, Adiabatic saturation temperature is the temperature achieved when moist air undergoes an adiabatic process while being saturated with water vapor, 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 & 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.
How to calculate Inlet Air Humidity based on Adiabatic Saturation Temperature?
The Inlet 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 is calculated using Inlet Air Humidity = Saturated Exit Air Humidity-(Temperature of Air-Adiabatic Saturation Temperature)*(Humid Heat/Heat of Vaporization at Adiabatic Saturation Temp). To calculate Inlet Air Humidity based on Adiabatic Saturation Temperature, you need Saturated Exit Air Humidity (YS'), Temperature of Air (TG), Adiabatic Saturation Temperature (TS), Humid Heat (Cs) & Heat of Vaporization at Adiabatic Saturation Temp S). With our tool, you need to enter the respective value for Saturated Exit Air Humidity, Temperature of Air, Adiabatic Saturation Temperature, Humid Heat & Heat of Vaporization at Adiabatic Saturation Temp and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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