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Temperature of air during humidification Formula

GoTemperature of air given gas constant of water Formula

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Air temperature is the temperature of the air surrounding an individual and is typically measured in degrees Celsius (°C) or in Kelvin. Check FAQs

T∞ = ((\frac{0.622 \cdot hfg}{cp \cdot ({L e}^{0.67})}) \cdot ((\frac{Pw}{P T}) - (\frac{P∞}{P T}))) + T w

T∞ - Air Temperature?hfg - Enthalpy of Evaporation?cp - Specific Heat of Air?L_e - Lewis Number?Pw - Partial Pressure?P_T - Total Pressure?P∞ - Partial Pressure in air?T_w - Wet Bulb Temperature?

Temperature of air during humidification Example

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Here is how the Temperature of air during humidification equation looks like with Values.

Here is how the Temperature of air during humidification equation looks like with Units.

Here is how the Temperature of air during humidification equation looks like.

14.0007 = ((\frac{0.622 \cdot 90}{3 \cdot ({4.5}^{0.67})}) \cdot ((\frac{13}{120000}) - (\frac{0.016}{120000}))) + 14

14.0007 = ((\frac{0.622 \cdot 90J/kg*K}{3J/(kg*K) \cdot ({4.5}^{0.67})}) \cdot ((\frac{13}{120000Pa}) - (\frac{0.016}{120000Pa}))) + 14

14.0007 = ((\frac{0.622 \cdot 90}{3 \cdot ({4.5}^{0.67})}) \cdot ((\frac{13}{120000}) - (\frac{0.016}{120000}))) + 14

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Home » Physics » Mechanical » Heat and Mass Transfer » Temperature of air during humidification

Temperature of air during humidification Solution

Follow our step by step solution on how to calculate Temperature of air during humidification?

FIRST Step Consider the formula

T∞ = ((\frac{0.622 \cdot hfg}{cp \cdot ({L e}^{0.67})}) \cdot ((\frac{Pw}{P T}) - (\frac{P∞}{P T}))) + T w

Next Step Substitute values of Variables

∴

T∞ = ((\frac{0.622 \cdot 90J/kg*K}{3J/(kg*K) \cdot ({4.5}^{0.67})}) \cdot ((\frac{13}{120000Pa}) - (\frac{0.016}{120000Pa}))) + 14

Next Step Prepare to Evaluate

∴

T∞ = ((\frac{0.622 \cdot 90}{3 \cdot ({4.5}^{0.67})}) \cdot ((\frac{13}{120000}) - (\frac{0.016}{120000}))) + 14

Next Step Evaluate

∴

T∞ = 14.0007370322915

LAST Step Rounding Answer

∴

T∞ = 14.0007

Temperature of air during humidification Formula Elements

Variables

Air Temperature

Air temperature is the temperature of the air surrounding an individual and is typically measured in degrees Celsius (°C) or in Kelvin.

Symbol: T∞

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Enthalpy of Evaporation

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.

Symbol: hfg

Measurement: Specific EntropyUnit: J/kg*K

Note: Value can be positive or negative.

Specific Heat of Air

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.

Symbol: cp

Measurement: Specific Heat CapacityUnit: J/(kg*K)

Note: Value can be positive or negative.

Lewis Number

The Lewis Number is a dimensionless number defined as the ratio of thermal diffusivity to mass diffusivity.

Symbol: L_e

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Partial Pressure

Partial pressure of the water vapor at wet bulb temperature.

Symbol: Pw

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Total Pressure

Total Pressure is the sum of all the forces that the gas molecules exert on the walls of their container.

Symbol: P_T

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Partial Pressure in air

Partial pressure in air of the water vapor is the pressure of water in the mixture of water and air.

Symbol: P∞

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Wet Bulb Temperature

Wet Bulb Temperature is the temperature of the wet bulb and denoted by the symbol Tw.

Symbol: T_w

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Credits

Created by Nishan Poojary

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

Nishan Poojary has created this Formula and 500+ more formulas!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Formula and 2500+ more formulas!

Other Formulas to find Air Temperature

Go Temperature of air given gas constant of water

T∞ = ((\frac{hfg \cdot (Pw - P∞)}{Rw \cdot ρ \cdot cp \cdot Tf \cdot ({L e}^{0.67})})) + T w

Other formulas in Humidification category

Go Enthalpy of evaporation for water in humidification

hfg = \frac{h Conv \cdot (T∞ - T w)}{k L \cdot (Pw - P∞)}

Go Convective mass transfer coefficient in humidification

k L = \frac{h Conv \cdot (T∞ - T w)}{hfg \cdot (Pw - P∞)}

How to Evaluate Temperature of air during humidification?

Temperature of air during humidification evaluator uses 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 to evaluate the Air Temperature, The Temperature of air during humidification formula is defined as the temperature of the air required to humidify the water. Air Temperature is denoted by T∞ symbol.

How to evaluate Temperature of air during humidification using this online evaluator? To use this online evaluator for Temperature of air during humidification, enter Enthalpy of Evaporation (hfg), Specific Heat of Air (cp), Lewis Number (L_e), Partial Pressure (Pw), Total Pressure (P_T), Partial Pressure in air (P∞) & Wet Bulb Temperature (T_w) and hit the calculate button.

FAQs on Temperature of air during humidification

What is the formula to find Temperature of air during humidification?

The formula of Temperature of air during humidification is expressed as 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. Here is an example- 14.84232 = (((0.622*90)/(3*(4.5^0.67)))*((13/120000)-(0.016/120000)))+14.

How to calculate Temperature of air during humidification?

With Enthalpy of Evaporation (hfg), Specific Heat of Air (cp), Lewis Number (L_e), Partial Pressure (Pw), Total Pressure (P_T), Partial Pressure in air (P∞) & Wet Bulb Temperature (T_w) we can find Temperature of air during humidification using the formula - 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.

What are the other ways to Calculate Air Temperature?

Here are the different ways to Calculate Air 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))))+Wet Bulb Temperature