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Specific heat of air given gas constant Formula

GoSpecific heat of air during humidification Formula

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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. Check FAQs

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

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

Specific heat of air given gas constant Example

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Here is how the Specific heat of air given gas constant equation looks like with Values.

Here is how the Specific heat of air given gas constant equation looks like with Units.

Here is how the Specific heat of air given gas constant equation looks like.

4.5E-5 = ((\frac{90 \cdot (13 - 0.016)}{8.314 \cdot 997 \cdot (35 - 14) \cdot 55 \cdot ({4.5}^{0.67})}))

4.5E-5J/(kg*K) = ((\frac{90J/kg*K \cdot (13 - 0.016)}{8.314 \cdot 997kg/m³ \cdot (35 - 14) \cdot 55 \cdot ({4.5}^{0.67})}))

4.5E-5 = ((\frac{90 \cdot (13 - 0.016)}{8.314 \cdot 997 \cdot (35 - 14) \cdot 55 \cdot ({4.5}^{0.67})}))

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Specific heat of air given gas constant Solution

Follow our step by step solution on how to calculate Specific heat of air given gas constant?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

cp = ((\frac{90J/kg*K \cdot (13 - 0.016)}{8.314 \cdot 997kg/m³ \cdot (35 - 14) \cdot 55 \cdot ({4.5}^{0.67})}))

Next Step Prepare to Evaluate

∴

cp = ((\frac{90 \cdot (13 - 0.016)}{8.314 \cdot 997 \cdot (35 - 14) \cdot 55 \cdot ({4.5}^{0.67})}))

Next Step Evaluate

∴

cp = 4.45565410884802E-05J/(kg*K)

LAST Step Rounding Answer

∴

cp = 4.5E-5J/(kg*K)

Specific heat of air given gas constant Formula Elements

Variables

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

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

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

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

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

Other Formulas to find Specific Heat of Air

Go Specific heat of air during humidification

cp = (Yw - Y∞) \cdot \frac{hfg}{(T - T∞) \cdot {L e}^{0.67}}

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 Specific heat of air given gas constant?

Specific heat of air given gas constant evaluator 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 evaluate 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 evaluate Specific heat of air given gas constant using this online evaluator? To use this online evaluator 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.

FAQs on Specific heat of air given gas constant

What is the formula to find Specific heat of air given gas constant?

The formula of Specific heat of air given gas constant is expressed as 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)))). Here is an example- 4E-5 = (((90*(13-0.016))/(8.314*997*(35-14)*55*(4.5^0.67)))).

How to calculate Specific heat of air given gas constant?

With 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) we can find Specific heat of air given gas constant using the formula - 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)))).

What are the other ways to Calculate Specific Heat of Air?

Here are the different ways to Calculate Specific Heat of Air-

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

Can the Specific heat of air given gas constant be negative?

Yes, the Specific heat of air given gas constant, measured in Specific Heat Capacity can be negative.

Which unit is used to measure Specific heat of air given gas constant?

Specific heat of air given gas constant is usually measured using the Joule per Kilogram per K[J/(kg*K)] for Specific Heat Capacity. Joule per Kilogram per Celcius[J/(kg*K)], Kilojoule per Kilogram per K[J/(kg*K)], Kilojoule per Kilogram per Celcius[J/(kg*K)] are the few other units in which Specific heat of air given gas constant can be measured.

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Specific heat of air given gas constant Formula

​GoSpecific heat of air during humidification Formula

Specific heat of air given gas constant Example

Specific heat of air given gas constant Solution

Specific heat of air given gas constant Formula Elements

Other Formulas to find Specific Heat of Air

Other formulas in Humidification category

How to Evaluate Specific heat of air given gas constant?

FAQs on Specific heat of air given gas constant

Variable Name

GoSpecific heat of air during humidification Formula