Temperature of air given gas constant of water Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
T∞ = (((hfg*(Pw-P∞))/(Rw*ρ*cp*Tf*(Le^0.67))))+Tw
This formula uses 10 Variables
Variables Used
Air Temperature - Air temperature is the temperature of the air surrounding an individual and is typically measured in degrees Celsius (°C) or in Kelvin.
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.
Partial Pressure - Partial pressure of the water vapor at wet bulb temperature.
Partial Pressure in air - Partial pressure in air of the water vapor is the pressure of water in the mixture of water and air.
Gas constant - Gas constant is the value of gas constant of water vapour.
Density - (Measured in Kilogram per Cubic Meter) - The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.
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.
Mean Temperature - Mean temperature is the mean value of all the observed temperatures.
Lewis Number - The Lewis Number is a dimensionless number defined as the ratio of thermal diffusivity to mass diffusivity.
Wet Bulb Temperature - Wet Bulb Temperature is the temperature of the wet bulb and denoted by the symbol Tw.
STEP 1: Convert Input(s) to Base Unit
Enthalpy of Evaporation: 90 Joule per Kilogram K --> 90 Joule per Kilogram K No Conversion Required
Partial Pressure: 13 --> No Conversion Required
Partial Pressure in air: 0.016 --> No Conversion Required
Gas constant: 8.314 --> No Conversion Required
Density: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required
Specific Heat of Air: 3 Joule per Kilogram per K --> 3 Joule per Kilogram per K No Conversion Required
Mean Temperature: 55 --> No Conversion Required
Lewis Number: 4.5 --> No Conversion Required
Wet Bulb Temperature: 14 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
T∞ = (((hfg*(Pw-P∞))/(Rw*ρ*cp*Tf*(Le^0.67))))+Tw --> (((90*(13-0.016))/(8.314*997*3*55*(4.5^0.67))))+14
Evaluating ... ...
T∞ = 14.0003118957876
STEP 3: Convert Result to Output's Unit
14.0003118957876 --> No Conversion Required
FINAL ANSWER
14.0003118957876 14.00031 <-- Air Temperature
(Calculation completed in 00.004 seconds)

Credits

Created by Nishan Poojary
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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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)

Temperature of air given gas constant of water Formula

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
T∞ = (((hfg*(Pw-P∞))/(Rw*ρ*cp*Tf*(Le^0.67))))+Tw

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 Temperature of air given gas constant of water?

Temperature of air given gas constant of water calculator uses 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 to calculate the Air Temperature, The Temperature of air given gas constant of water formula is defined as the temperature of the air required to humidify or vaporize the water. Air Temperature is denoted by T∞ symbol.

How to calculate Temperature of air given gas constant of water using this online calculator? To use this online calculator for Temperature of air given gas constant of water, enter Enthalpy of Evaporation (hfg), Partial Pressure (Pw), Partial Pressure in air (P∞), Gas constant (Rw), Density (ρ), Specific Heat of Air (cp), Mean Temperature (Tf), Lewis Number (Le) & Wet Bulb Temperature (Tw) and hit the calculate button. Here is how the Temperature of air given gas constant of water calculation can be explained with given input values -> 14.00028 = (((90*(13-0.016))/(8.314*997*3*55*(4.5^0.67))))+14.

FAQ

What is Temperature of air given gas constant of water?
The Temperature of air given gas constant of water formula is defined as the temperature of the air required to humidify or vaporize the water and is represented as T∞ = (((hfg*(Pw-P∞))/(Rw*ρ*cp*Tf*(Le^0.67))))+Tw or 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. 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, Partial pressure of the water vapor at wet bulb temperature, Partial pressure in air of the water vapor is the pressure of water in the mixture of water and air, Gas constant is the value of gas constant of water vapour, The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object, 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, Mean temperature is the mean value of all the observed temperatures, The Lewis Number is a dimensionless number defined as the ratio of thermal diffusivity to mass diffusivity & Wet Bulb Temperature is the temperature of the wet bulb and denoted by the symbol Tw.
How to calculate Temperature of air given gas constant of water?
The Temperature of air given gas constant of water formula is defined as the temperature of the air required to humidify or vaporize the water is calculated using 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. To calculate Temperature of air given gas constant of water, you need Enthalpy of Evaporation (hfg), Partial Pressure (Pw), Partial Pressure in air (P∞), Gas constant (Rw), Density (ρ), Specific Heat of Air (cp), Mean Temperature (Tf), Lewis Number (Le) & Wet Bulb Temperature (Tw). With our tool, you need to enter the respective value for Enthalpy of Evaporation, Partial Pressure, Partial Pressure in air, Gas constant, Density, Specific Heat of Air, Mean Temperature, Lewis Number & Wet Bulb Temperature 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 Air Temperature?
In this formula, Air Temperature uses Enthalpy of Evaporation, Partial Pressure, Partial Pressure in air, Gas constant, Density, Specific Heat of Air, Mean Temperature, Lewis Number & Wet Bulb Temperature. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • 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
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