Specific heat of air during humidification Solution

STEP 0: Pre-Calculation Summary
Formula Used
Specific Heat of Air = (Absolute Humidity of Air(tw)-Absolute Humidity of Air(atm))*Enthalpy of Evaporation/((Temperature-Air Temperature)*Lewis Number^0.67)
cp = (Yw-Y∞)*hfg/((T-T∞)*Le^0.67)
This formula uses 7 Variables
Variables Used
Specific Heat of Air - (Measured in Joule per Kilogram per K) - Specific heat of air is the heat required to raise the temperature of a air by one degree to that required to raise the temperature of an equal mass of water one degree.
Absolute Humidity of Air(tw) - Absolute Humidity of Air(tw) is the amount of water contained in a parcel of air at wet bulb temperature.
Absolute Humidity of Air(atm) - Absolute humidity of air(atm) is the amount of water contained in a parcel of air at atmospheric temperature.
Enthalpy of Evaporation - (Measured in Joule per Kilogram K) - Enthalpy of evaporation is the amount of energy (enthalpy) that must be added to a liquid substance to transform a quantity of that substance into a gas.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
Air Temperature - Air temperature is the temperature of the air surrounding an individual and is typically measured in degrees Celsius (°C) or in Kelvin.
Lewis Number - The Lewis Number is a dimensionless number defined as the ratio of thermal diffusivity to mass diffusivity.
STEP 1: Convert Input(s) to Base Unit
Absolute Humidity of Air(tw): 6 --> No Conversion Required
Absolute Humidity of Air(atm): 12 --> No Conversion Required
Enthalpy of Evaporation: 90 Joule per Kilogram K --> 90 Joule per Kilogram K No Conversion Required
Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
Air Temperature: 35 --> No Conversion Required
Lewis Number: 4.5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
cp = (Yw-Y∞)*hfg/((T-T∞)*Le^0.67) --> (6-12)*90/((85-35)*4.5^0.67)
Evaluating ... ...
cp = -3.94249699753119
STEP 3: Convert Result to Output's Unit
-3.94249699753119 Joule per Kilogram per K --> No Conversion Required
FINAL ANSWER
-3.94249699753119 -3.942497 Joule per Kilogram per K <-- Specific Heat of Air
(Calculation completed in 00.085 seconds)

Credits

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Created by Nishan Poojary
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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Verified by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
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Humidification Calculators

Gas phase heat transfer coefficient in dehumidification
​ LaTeX ​ Go Gas Phase Heat Transfer Coefficient = ((Liquid Phase Heat Transfer Coefficient*(Inside Temperature-Liquid layer temperature))-(Enthalpy of Evaporation*Gas Phase Mass Transfer Coefficient*(Absolute Humidity of Air(tg)-Absolute Humidity (ti))))/(Bulk Gas Temperature-Inside Temperature)
Liquid layer temperature in dehumidification
​ LaTeX ​ Go Liquid layer temperature = Inside Temperature-(((Gas Phase Heat Transfer Coefficient*(Bulk Gas Temperature-Inside Temperature))+Enthalpy of Evaporation*Gas Phase Mass Transfer Coefficient*(Absolute Humidity of Air(tg)-Absolute Humidity (ti)))/Liquid Phase Heat Transfer Coefficient)
Convective mass transfer coefficient in humidification
​ LaTeX ​ Go Convective Mass Transfer Coefficient = (Convective Heat Transfer Coefficient*(Air Temperature-Wet Bulb Temperature))/(Enthalpy of Evaporation*(Partial Pressure-Partial Pressure in air))
Enthalpy of evaporation for water in humidification
​ LaTeX ​ Go Enthalpy of Evaporation = (Convective Heat Transfer Coefficient*(Air Temperature-Wet Bulb Temperature))/(Convective Mass Transfer Coefficient*(Partial Pressure-Partial Pressure in air))

Specific heat of air during humidification Formula

​LaTeX ​Go
Specific Heat of Air = (Absolute Humidity of Air(tw)-Absolute Humidity of Air(atm))*Enthalpy of Evaporation/((Temperature-Air Temperature)*Lewis Number^0.67)
cp = (Yw-Y∞)*hfg/((T-T∞)*Le^0.67)

What is humidification?

Humidification is the process in which the moisture or water vapor or humidity is added to the air. Common equipment used in this process is a humidifier. Dehumidification as the term suggests, is the opposite of humidification since dehumidification means removing the moisture from the air. Common equipment used in this process is a dehumidifier.
Humidity is the presence of water vapor or moisture in the air, while relative humidity, on the other hand, is the comparison of the actual moisture or water vapor in the air vs. the total water vapor or moisture that the air can handle.

How to Calculate Specific heat of air during humidification?

Specific heat of air during humidification calculator uses Specific Heat of Air = (Absolute Humidity of Air(tw)-Absolute Humidity of Air(atm))*Enthalpy of Evaporation/((Temperature-Air Temperature)*Lewis Number^0.67) to calculate the Specific Heat of Air, The Specific heat of air during humidification formula is defined as the heat required to increase the temperature of air by one degree for humidification. Specific Heat of Air is denoted by cp symbol.

How to calculate Specific heat of air during humidification using this online calculator? To use this online calculator for Specific heat of air during humidification, enter Absolute Humidity of Air(tw) (Yw), Absolute Humidity of Air(atm) (Y∞), Enthalpy of Evaporation (hfg), Temperature (T), Air Temperature (T∞) & Lewis Number (Le) and hit the calculate button. Here is how the Specific heat of air during humidification calculation can be explained with given input values -> -3.504442 = (6-12)*90/((85-35)*4.5^0.67).

FAQ

What is Specific heat of air during humidification?
The Specific heat of air during humidification formula is defined as the heat required to increase the temperature of air by one degree for humidification and is represented as cp = (Yw-Y∞)*hfg/((T-T∞)*Le^0.67) or Specific Heat of Air = (Absolute Humidity of Air(tw)-Absolute Humidity of Air(atm))*Enthalpy of Evaporation/((Temperature-Air Temperature)*Lewis Number^0.67). Absolute Humidity of Air(tw) is the amount of water contained in a parcel of air at wet bulb temperature, Absolute humidity of air(atm) is the amount of water contained in a parcel of air at atmospheric temperature, Enthalpy of evaporation is the amount of energy (enthalpy) that must be added to a liquid substance to transform a quantity of that substance into a gas, Temperature is the degree or intensity of heat present in a substance or object, Air temperature is the temperature of the air surrounding an individual and is typically measured in degrees Celsius (°C) or in Kelvin & The Lewis Number is a dimensionless number defined as the ratio of thermal diffusivity to mass diffusivity.
How to calculate Specific heat of air during humidification?
The Specific heat of air during humidification formula is defined as the heat required to increase the temperature of air by one degree for humidification is calculated using Specific Heat of Air = (Absolute Humidity of Air(tw)-Absolute Humidity of Air(atm))*Enthalpy of Evaporation/((Temperature-Air Temperature)*Lewis Number^0.67). To calculate Specific heat of air during humidification, you need Absolute Humidity of Air(tw) (Yw), Absolute Humidity of Air(atm) (Y∞), Enthalpy of Evaporation (hfg), Temperature (T), Air Temperature (T∞) & Lewis Number (Le). With our tool, you need to enter the respective value for Absolute Humidity of Air(tw), Absolute Humidity of Air(atm), Enthalpy of Evaporation, Temperature, Air Temperature & Lewis Number 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 Specific Heat of Air?
In this formula, Specific Heat of Air uses Absolute Humidity of Air(tw), Absolute Humidity of Air(atm), Enthalpy of Evaporation, Temperature, Air Temperature & Lewis Number. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Specific Heat of Air = (((Enthalpy of Evaporation*(Partial Pressure-Partial Pressure in air))/(Gas constant*Density*(Air Temperature-Wet Bulb Temperature)*Mean Temperature*(Lewis Number^0.67))))
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