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Temperature of air given gas constant of water Formula

GoTemperature of air during humidification 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{hfg \cdot (Pw - P∞)}{Rw \cdot ρ \cdot cp \cdot Tf \cdot ({L e}^{0.67})})) + T w

T∞ - Air Temperature?hfg - Enthalpy of Evaporation?Pw - Partial Pressure?P∞ - Partial Pressure in air?Rw - Gas constant?ρ - Density?cp - Specific Heat of Air?Tf - Mean Temperature?L_e - Lewis Number?T_w - Wet Bulb Temperature?

Temperature of air given gas constant of water Example

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Here is how the Temperature of air given gas constant of water equation looks like with Values.

Here is how the Temperature of air given gas constant of water equation looks like with Units.

Here is how the Temperature of air given gas constant of water equation looks like.

14.0003 = ((\frac{90 \cdot (13 - 0.016)}{8.314 \cdot 997 \cdot 3 \cdot 55 \cdot ({4.5}^{0.67})})) + 14

14.0003 = ((\frac{90J/kg*K \cdot (13 - 0.016)}{8.314 \cdot 997kg/m³ \cdot 3J/(kg*K) \cdot 55 \cdot ({4.5}^{0.67})})) + 14

14.0003 = ((\frac{90 \cdot (13 - 0.016)}{8.314 \cdot 997 \cdot 3 \cdot 55 \cdot ({4.5}^{0.67})})) + 14

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Temperature of air given gas constant of water Solution

Follow our step by step solution on how to calculate Temperature of air given gas constant of water?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T∞ = ((\frac{90J/kg*K \cdot (13 - 0.016)}{8.314 \cdot 997kg/m³ \cdot 3J/(kg*K) \cdot 55 \cdot ({4.5}^{0.67})})) + 14

Next Step Prepare to Evaluate

∴

T∞ = ((\frac{90 \cdot (13 - 0.016)}{8.314 \cdot 997 \cdot 3 \cdot 55 \cdot ({4.5}^{0.67})})) + 14

Next Step Evaluate

∴

T∞ = 14.0003118957876

LAST Step Rounding Answer

∴

T∞ = 14.0003

Temperature of air given gas constant of water 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.

Formulas to find Air Temperature

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.

Formulas to find Enthalpy of Evaporation

Partial Pressure

Partial pressure of the water vapor at wet bulb temperature.

Symbol: Pw

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Partial Pressure

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.

Formulas to find Partial Pressure in air

Gas constant

Gas constant is the value of gas constant of water vapour.

Symbol: Rw

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Gas constant

Density

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.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density

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.

Formulas to find Specific Heat of Air

Mean Temperature

Mean temperature is the mean value of all the observed temperatures.

Symbol: Tf

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Mean Temperature

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.

Formulas to find Lewis Number

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.

Formulas to find Wet Bulb Temperature

Other Formulas to find Air Temperature

Go Temperature of air during humidification

T∞ = ((\frac{0.622 \cdot hfg}{cp \cdot ({L e}^{0.67})}) \cdot ((\frac{Pw}{P T}) - (\frac{P∞}{P T}))) + 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 given gas constant of water?

Temperature of air given gas constant of water evaluator 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 evaluate 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 evaluate Temperature of air given gas constant of water using this online evaluator? To use this online evaluator 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 (L_e) & Wet Bulb Temperature (T_w) and hit the calculate button.

FAQs on Temperature of air given gas constant of water

What is the formula to find Temperature of air given gas constant of water?

The formula of Temperature of air given gas constant of water is expressed as 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. Here is an example- 14.00028 = (((90*(13-0.016))/(8.314*997*3*55*(4.5^0.67))))+14.

How to calculate Temperature of air given gas constant of water?

With 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 (L_e) & Wet Bulb Temperature (T_w) we can find Temperature of air given gas constant of water using the 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.

What are the other ways to Calculate Air Temperature?

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

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Temperature of air given gas constant of water Formula

​GoTemperature of air during humidification Formula

Temperature of air given gas constant of water Example

Temperature of air given gas constant of water Solution

Temperature of air given gas constant of water Formula Elements

Other Formulas to find Air Temperature

Other formulas in Humidification category

How to Evaluate Temperature of air given gas constant of water?

FAQs on Temperature of air given gas constant of water

Variable Name

GoTemperature of air during humidification Formula