Gas phase mass transfer coefficient in dehumidification Solution

STEP 0: Pre-Calculation Summary
Formula Used
Gas Phase Mass Transfer Coefficient = ((Liquid Phase Heat Transfer Coefficient*(Inside Temperature-Liquid layer temperature))-Gas Phase Heat Transfer Coefficient*(Bulk Gas Temperature-Inside Temperature))/(Enthalpy of Evaporation*(Absolute Humidity of Air(tg)-Absolute Humidity (ti)))
ky = ((h1*(ti-Tl))-hg*(Tg-ti))/(hfg*(Yg-Yi))
This formula uses 9 Variables
Variables Used
Gas Phase Mass Transfer Coefficient - (Measured in Mole per Second Square Meter) - Gas phase mass transfer coefficient is a diffusion rate constant that relates the mass transfer rate, mass transfer area, and concentration change as driving force.
Liquid Phase Heat Transfer Coefficient - (Measured in Watt per Square Meter per Kelvin) - Liquid Phase Heat Transfer Coefficient is the heat transfer in liquid per unit area in kelvin.
Inside Temperature - (Measured in Kelvin) - Inside Temperature is the temperature of air present inside.
Liquid layer temperature - Liquid layer temperature is defined as the temperature of the flowing liquid layer in dehumidification.
Gas Phase Heat Transfer Coefficient - (Measured in Watt per Square Meter per Kelvin) - Gas Phase Heat Transfer Coefficient is the heat transfer in gas per unit area in kelvin.
Bulk Gas Temperature - Bulk gas temperature is adiabatic mixing of the gas from a given cross section of duct will result in some equilibrium temperature that accurately reflects average temperature of the moving fluid.
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.
Absolute Humidity of Air(tg) - Absolute Humidity of Air(tg) at the initial air temperature.
Absolute Humidity (ti) - Absolute humidity (ti) is the quality of water vapor in the wet air of unit volume at temperature ti.
STEP 1: Convert Input(s) to Base Unit
Liquid Phase Heat Transfer Coefficient: 10.8 Watt per Square Meter per Kelvin --> 10.8 Watt per Square Meter per Kelvin No Conversion Required
Inside Temperature: 353 Kelvin --> 353 Kelvin No Conversion Required
Liquid layer temperature: 20 --> No Conversion Required
Gas Phase Heat Transfer Coefficient: 40 Watt per Square Meter per Kelvin --> 40 Watt per Square Meter per Kelvin No Conversion Required
Bulk Gas Temperature: 100 --> No Conversion Required
Enthalpy of Evaporation: 90 Joule per Kilogram K --> 90 Joule per Kilogram K No Conversion Required
Absolute Humidity of Air(tg): 16 --> No Conversion Required
Absolute Humidity (ti): 50.7 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ky = ((h1*(ti-Tl))-hg*(Tg-ti))/(hfg*(Yg-Yi)) --> ((10.8*(353-20))-40*(100-353))/(90*(16-50.7))
Evaluating ... ...
ky = -4.39205891770733
STEP 3: Convert Result to Output's Unit
-4.39205891770733 Mole per Second Square Meter --> No Conversion Required
FINAL ANSWER
-4.39205891770733 -4.392059 Mole per Second Square Meter <-- Gas Phase Mass Transfer Coefficient
(Calculation completed in 00.004 seconds)

Credits

Created by Nishan Poojary
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
Nishan Poojary has created this Calculator and 500+ more calculators!
Verified by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
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24 Humidification Calculators

Absolute humidity at inside temperature in dehumidification
Go Absolute Humidity (ti) = Absolute Humidity of Air(tg)-(((Liquid Phase Heat Transfer Coefficient*(Temperature at inner surface-Liquid layer temperature))-Gas Phase Heat Transfer Coefficient*(Bulk Gas Temperature-Temperature at inner surface))/(Gas Phase Mass Transfer Coefficient*Enthalpy of Evaporation))
Enthalpy of evaporation in dehumidification
Go Enthalpy of Evaporation = ((Liquid Phase Heat Transfer Coefficient*(Temperature at inner surface-Liquid layer temperature))-Gas Phase Heat Transfer Coefficient*(Bulk Gas Temperature-Temperature at inner surface))/(Gas Phase Mass Transfer Coefficient*(Absolute Humidity of Air(tg)-Absolute Humidity (ti)))
Liquid phase heat transfer coefficient in dehumidification
Go Liquid Phase Heat Transfer Coefficient = ((Gas Phase Heat Transfer Coefficient*(Bulk Gas Temperature-Temperature at inner surface))+Enthalpy of Evaporation*Gas Phase Mass Transfer Coefficient*(Absolute Humidity of Air(tg)-Absolute Humidity (ti)))/(Temperature at inner surface-Liquid layer temperature)
Gas phase heat transfer coefficient in dehumidification
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)
Gas phase mass transfer coefficient in dehumidification
Go Gas Phase Mass Transfer Coefficient = ((Liquid Phase Heat Transfer Coefficient*(Inside Temperature-Liquid layer temperature))-Gas Phase Heat Transfer Coefficient*(Bulk Gas Temperature-Inside Temperature))/(Enthalpy of Evaporation*(Absolute Humidity of Air(tg)-Absolute Humidity (ti)))
Bulk gas temperature in dehumidification
Go Bulk Gas Temperature = (((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))))/Gas Phase Heat Transfer Coefficient)+Inside Temperature
Liquid layer temperature in dehumidification
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)
Specific heat of air given gas constant
Go 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))))
Gas constant of water vapor
Go Gas constant = (((Enthalpy of Evaporation*(Partial Pressure-Partial Pressure in air))/((Air Temperature-Wet Bulb Temperature)*Density*Specific Heat of Air*Mean Temperature*(Lewis Number^0.67))))
Temperature of air given gas constant of water
Go Air Temperature = (((Enthalpy of Evaporation*(Partial Pressure-Partial Pressure in air))/(Gas constant*Density*Specific Heat of Air*Mean Temperature*(Lewis Number^0.67))))+Wet Bulb Temperature
Wet bulb temperature given gas constant of water vapor
Go Wet Bulb Temperature = Air Temperature-((Enthalpy of Evaporation*(Partial Pressure-Partial Pressure in air))/(Gas constant*Density*Specific Heat of Air*Mean Temperature*(Lewis Number^0.67)))
Temperature of air during humidification
Go Air Temperature = (((0.622*Enthalpy of Evaporation)/(Specific Heat of Air*(Lewis Number^0.67)))*((Partial Pressure/Total Pressure)-(Partial Pressure in air/Total Pressure)))+Wet Bulb Temperature
Wet bulb temperature of humidification
Go Wet Bulb Temperature = Air Temperature-((0.622*Enthalpy of Evaporation)/(Specific Heat of Air*(Lewis Number^0.67)))*((Partial Pressure/Total Pressure)-(Partial Pressure in air/Total Pressure))
Absolute Humidity of Air at Final Equilibrium Air Temperature
Go Absolute Humidity of Air(ta) = (((Specific Heat of Air+(Absolute Humidity of Air(tg)*Specific Heat of Water Vapor))*(Bulk Gas Temperature-Temperature))/(Enthalpy of Evaporation))+Absolute Humidity of Air(tg)
Gas phase mass transfer coefficient given humidity
Go Gas Phase Mass Transfer Coefficient = (Mass Velocity of Air/Height)*ln((Absolute Humidity at Final Temperature-Humidity of air at entry)/(Absolute Humidity at Final Temperature-Humidity of air at exit))
Height of tower in adiabatic humidification
Go Height = (Mass Velocity of Air/Gas Phase Mass Transfer Coefficient)*ln((Absolute Humidity at Final Temperature-Humidity of air at entry)/(Absolute Humidity at Final Temperature-Humidity of air at exit))
Mass velocity of air per unit area
Go Mass Velocity of Air = (Height*Gas Phase Mass Transfer Coefficient)/ln((Absolute Humidity of Air(ta)-Humidity of Air at Entry(t))/(Absolute Humidity of Air(ta)-Humidity of air at exit))
Partial pressure of water vapor at wet bulb temperature
Go Partial Pressure = ((Convective Heat Transfer Coefficient*(Air Temperature-Wet Bulb Temperature))/(Enthalpy of Evaporation*Convective Mass Transfer Coefficient))+Partial Pressure in air
Convective mass transfer coefficient in humidification
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
Go Enthalpy of Evaporation = (Convective Heat Transfer Coefficient*(Air Temperature-Wet Bulb Temperature))/(Convective Mass Transfer Coefficient*(Partial Pressure-Partial Pressure in air))
Partial pressure of water vapor in air
Go Partial Pressure in air = Partial Pressure-((Convective Heat Transfer Coefficient*(Air Temperature-Wet Bulb Temperature))/(Enthalpy of Evaporation*Convective Mass Transfer Coefficient))
Heat transfer coefficient in humidification
Go Heat Transfer Coefficient = ((Partial Pressure-Partial Pressure in air)*(Enthalpy of Evaporation*Convective Mass Transfer Coefficient))/(Air Temperature-Wet Bulb Temperature)
Enthalpy of evaporation of water in humidification
Go Enthalpy of Evaporation = (Specific Heat of Air*(Lewis Number^0.67))/((Absolute Humidity of Air(tw)-Absolute Humidity of Air(atm))/(Air Temperature-Wet Bulb Temperature))
Specific heat of air during humidification
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)

Gas phase mass transfer coefficient in dehumidification Formula

Gas Phase Mass Transfer Coefficient = ((Liquid Phase Heat Transfer Coefficient*(Inside Temperature-Liquid layer temperature))-Gas Phase Heat Transfer Coefficient*(Bulk Gas Temperature-Inside Temperature))/(Enthalpy of Evaporation*(Absolute Humidity of Air(tg)-Absolute Humidity (ti)))
ky = ((h1*(ti-Tl))-hg*(Tg-ti))/(hfg*(Yg-Yi))

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 Gas phase mass transfer coefficient in dehumidification?

Gas phase mass transfer coefficient in dehumidification calculator uses Gas Phase Mass Transfer Coefficient = ((Liquid Phase Heat Transfer Coefficient*(Inside Temperature-Liquid layer temperature))-Gas Phase Heat Transfer Coefficient*(Bulk Gas Temperature-Inside Temperature))/(Enthalpy of Evaporation*(Absolute Humidity of Air(tg)-Absolute Humidity (ti))) to calculate the Gas Phase Mass Transfer Coefficient, The Gas phase mass transfer coefficient in dehumidification formula is defined as a diffusion rate constant that relates the mass transfer rate, mass transfer area, and concentration change as driving force. Gas Phase Mass Transfer Coefficient is denoted by ky symbol.

How to calculate Gas phase mass transfer coefficient in dehumidification using this online calculator? To use this online calculator for Gas phase mass transfer coefficient in dehumidification, enter Liquid Phase Heat Transfer Coefficient (h1), Inside Temperature (ti), Liquid layer temperature (Tl), Gas Phase Heat Transfer Coefficient (hg), Bulk Gas Temperature (Tg), Enthalpy of Evaporation (hfg), Absolute Humidity of Air(tg) (Yg) & Absolute Humidity (ti) (Yi) and hit the calculate button. Here is how the Gas phase mass transfer coefficient in dehumidification calculation can be explained with given input values -> -4.941066 = ((10.8*(353-20))-40*(100-353))/(90*(16-50.7)).

FAQ

What is Gas phase mass transfer coefficient in dehumidification?
The Gas phase mass transfer coefficient in dehumidification formula is defined as a diffusion rate constant that relates the mass transfer rate, mass transfer area, and concentration change as driving force and is represented as ky = ((h1*(ti-Tl))-hg*(Tg-ti))/(hfg*(Yg-Yi)) or Gas Phase Mass Transfer Coefficient = ((Liquid Phase Heat Transfer Coefficient*(Inside Temperature-Liquid layer temperature))-Gas Phase Heat Transfer Coefficient*(Bulk Gas Temperature-Inside Temperature))/(Enthalpy of Evaporation*(Absolute Humidity of Air(tg)-Absolute Humidity (ti))). Liquid Phase Heat Transfer Coefficient is the heat transfer in liquid per unit area in kelvin, Inside Temperature is the temperature of air present inside, Liquid layer temperature is defined as the temperature of the flowing liquid layer in dehumidification, Gas Phase Heat Transfer Coefficient is the heat transfer in gas per unit area in kelvin, Bulk gas temperature is adiabatic mixing of the gas from a given cross section of duct will result in some equilibrium temperature that accurately reflects average temperature of the moving fluid, 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, Absolute Humidity of Air(tg) at the initial air temperature & Absolute humidity (ti) is the quality of water vapor in the wet air of unit volume at temperature ti.
How to calculate Gas phase mass transfer coefficient in dehumidification?
The Gas phase mass transfer coefficient in dehumidification formula is defined as a diffusion rate constant that relates the mass transfer rate, mass transfer area, and concentration change as driving force is calculated using Gas Phase Mass Transfer Coefficient = ((Liquid Phase Heat Transfer Coefficient*(Inside Temperature-Liquid layer temperature))-Gas Phase Heat Transfer Coefficient*(Bulk Gas Temperature-Inside Temperature))/(Enthalpy of Evaporation*(Absolute Humidity of Air(tg)-Absolute Humidity (ti))). To calculate Gas phase mass transfer coefficient in dehumidification, you need Liquid Phase Heat Transfer Coefficient (h1), Inside Temperature (ti), Liquid layer temperature (Tl), Gas Phase Heat Transfer Coefficient (hg), Bulk Gas Temperature (Tg), Enthalpy of Evaporation (hfg), Absolute Humidity of Air(tg) (Yg) & Absolute Humidity (ti) (Yi). With our tool, you need to enter the respective value for Liquid Phase Heat Transfer Coefficient, Inside Temperature, Liquid layer temperature, Gas Phase Heat Transfer Coefficient, Bulk Gas Temperature, Enthalpy of Evaporation, Absolute Humidity of Air(tg) & Absolute Humidity (ti) 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 Gas Phase Mass Transfer Coefficient?
In this formula, Gas Phase Mass Transfer Coefficient uses Liquid Phase Heat Transfer Coefficient, Inside Temperature, Liquid layer temperature, Gas Phase Heat Transfer Coefficient, Bulk Gas Temperature, Enthalpy of Evaporation, Absolute Humidity of Air(tg) & Absolute Humidity (ti). We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Gas Phase Mass Transfer Coefficient = (Mass Velocity of Air/Height)*ln((Absolute Humidity at Final Temperature-Humidity of air at entry)/(Absolute Humidity at Final Temperature-Humidity of air at exit))
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