Specific heat of air given gas constant Calculator

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Humidification

Basics of HMT

Conduction

Convection

Convective Mass Transfer

✖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.ⓘ Enthalpy of Evaporation [hfg]			+10% -10%
✖Partial pressure of the water vapor at wet bulb temperature.ⓘ Partial Pressure [Pw]			+10% -10%
✖Partial pressure in air of the water vapor is the pressure of water in the mixture of water and air.ⓘ Partial Pressure in air [P∞]			+10% -10%
✖Gas constant is the value of gas constant of water vapour.ⓘ Gas constant [Rw]			+10% -10%
✖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.ⓘ Density [ρ]			+10% -10%
✖Air temperature is the temperature of the air surrounding an individual and is typically measured in degrees Celsius (°C) or in Kelvin.ⓘ Air Temperature [T∞]			+10% -10%
✖Wet Bulb Temperature is the temperature of the wet bulb and denoted by the symbol Tw.ⓘ Wet Bulb Temperature [T_w]			+10% -10%
✖Mean temperature is the mean value of all the observed temperatures.ⓘ Mean Temperature [Tf]			+10% -10%
✖The Lewis Number is a dimensionless number defined as the ratio of thermal diffusivity to mass diffusivity.ⓘ Lewis Number [L_e]			+10% -10%

✖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.ⓘ Specific heat of air given gas constant [cp]

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Formula

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Specific heat of air given gas constant

Formula

`"cp" = ((("hfg"*("Pw"-"P∞"))/("Rw"*"ρ"*("T∞"-"T"_{"w"})*"Tf"*("L"_{"e"}^0.67))))`

Example

`"4.5E^-5J/(kg*K)"=((("90J/kg*K"*("13"-"0.016"))/("8.314"*"997kg/m³"*("35"-"14")*"55"*(("4.5")^0.67))))`

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Specific heat of air given gas constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))))
cp = (((hfg*(Pw-P∞))/(Rw*ρ*(T∞-T_w)*Tf*(L_e^0.67))))
This formula uses 10 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.
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.
Air Temperature - Air temperature is the temperature of the air surrounding an individual and is typically measured in degrees Celsius (°C) or in Kelvin.
Wet Bulb Temperature - Wet Bulb Temperature is the temperature of the wet bulb and denoted by the symbol Tw.
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.

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
Air Temperature: 35 --> No Conversion Required
Wet Bulb Temperature: 14 --> No Conversion Required
Mean Temperature: 55 --> No Conversion Required
Lewis Number: 4.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

cp = (((hfg*(Pw-P∞))/(Rw*ρ*(T∞-T_w)*Tf*(L_e^0.67)))) --> (((90*(13-0.016))/(8.314*997*(35-14)*55*(4.5^0.67))))

Evaluating ... ...

cp = 4.45565410884802E-05

STEP 3: Convert Result to Output's Unit

4.45565410884802E-05 Joule per Kilogram per K --> No Conversion Required

FINAL ANSWER

4.45565410884802E-05 ≈ 4.5E-5 Joule per Kilogram per K <-- Specific Heat of Air

(Calculation completed in 00.006 seconds)

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Created by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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National Institute Of Technology (NIT), Hamirpur

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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)

Specific heat of air given gas constant Formula

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 given gas constant?

Specific heat of air given gas constant calculator uses 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)))) to calculate the Specific Heat of Air, The Specific heat of air given gas constant 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 given gas constant using this online calculator? To use this online calculator for Specific heat of air given gas constant, enter Enthalpy of Evaporation (hfg), Partial Pressure (Pw), Partial Pressure in air (P∞), Gas constant (Rw), Density (ρ), Air Temperature (T∞), Wet Bulb Temperature (T_w), Mean Temperature (Tf) & Lewis Number (L_e) and hit the calculate button. Here is how the Specific heat of air given gas constant calculation can be explained with given input values -> 4E-5 = (((90*(13-0.016))/(8.314*997*(35-14)*55*(4.5^0.67)))).

FAQ

What is Specific heat of air given gas constant?

The Specific heat of air given gas constant formula is defined as the heat required to increase the temperature of air by one degree for humidification and is represented as cp = (((hfg*(Pw-P∞))/(Rw*ρ*(T∞-T_w)*Tf*(L_e^0.67)))) or 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)))). 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, Air temperature is the temperature of the air surrounding an individual and is typically measured in degrees Celsius (°C) or in Kelvin, Wet Bulb Temperature is the temperature of the wet bulb and denoted by the symbol Tw, 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.

How to calculate Specific heat of air given gas constant?

The Specific heat of air given gas constant 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 = (((Enthalpy of Evaporation*(Partial Pressure-Partial Pressure in air))/(Gas constant*Density*(Air Temperature-Wet Bulb Temperature)*Mean Temperature*(Lewis Number^0.67)))). To calculate Specific heat of air given gas constant, you need Enthalpy of Evaporation (hfg), Partial Pressure (Pw), Partial Pressure in air (P∞), Gas constant (Rw), Density (ρ), Air Temperature (T∞), Wet Bulb Temperature (T_w), Mean Temperature (Tf) & Lewis Number (L_e). With our tool, you need to enter the respective value for Enthalpy of Evaporation, Partial Pressure, Partial Pressure in air, Gas constant, Density, Air Temperature, Wet Bulb Temperature, Mean 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 Enthalpy of Evaporation, Partial Pressure, Partial Pressure in air, Gas constant, Density, Air Temperature, Wet Bulb Temperature, Mean Temperature & Lewis Number. We can use 1 other way(s) to calculate the same, which is/are as follows -

Specific Heat of Air = (Absolute Humidity of Air(tw)-Absolute Humidity of Air(atm))*Enthalpy of Evaporation/((Temperature-Air Temperature)*Lewis Number^0.67)

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