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Adiabatic Index of Real Gas Formula

GoAdiabatic Index of Real Gas given Heat Capacity at Constant Pressure Formula

GoAdiabatic Index of Real Gas given Heat Capacity at Constant Volume Formula

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Adiabatic Index is the ratio of the heat capacity at constant pressure (CP) to heat capacity at constant volume (CV). Check FAQs

k = \frac{C p}{C v}

k - Adiabatic Index?C_p - Heat Capacity Constant Pressure?C_v - Heat Capacity Constant Volume?

Adiabatic Index of Real Gas Example

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Here is how the Adiabatic Index of Real Gas equation looks like with Values.

Here is how the Adiabatic Index of Real Gas equation looks like with Units.

Here is how the Adiabatic Index of Real Gas equation looks like.

1.3942 = \frac{1001}{718}

1.3942 = \frac{1001J/(kg*K)}{718J/(kg*K)}

1.3942 = \frac{1001}{718}

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Adiabatic Index of Real Gas Solution

Follow our step by step solution on how to calculate Adiabatic Index of Real Gas?

FIRST Step Consider the formula

k = \frac{C p}{C v}

Next Step Substitute values of Variables

∴

k = \frac{1001J/(kg*K)}{718J/(kg*K)}

Next Step Prepare to Evaluate

∴

k = \frac{1001}{718}

Next Step Evaluate

∴

k = 1.3941504178273

LAST Step Rounding Answer

∴

k = 1.3942

Adiabatic Index of Real Gas Formula Elements

Variables

Adiabatic Index

Adiabatic Index is the ratio of the heat capacity at constant pressure (CP) to heat capacity at constant volume (CV).

Symbol: k

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Adiabatic Index

Heat Capacity Constant Pressure

Heat capacity constant pressure is the amount of heat energy absorbed/released per unit mass of a substance where the pressure does not change.

Symbol: C_p

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

Note: Value should be greater than 0.

Formulas to find Heat Capacity Constant Pressure

Heat Capacity Constant Volume

Heat capacity constant volume is the amount of heat energy absorbed/released per unit mass of a substance where the volume does not change.

Symbol: C_v

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

Note: Value should be greater than 0.

Formulas to find Heat Capacity Constant Volume

Other Formulas to find Adiabatic Index

Go Adiabatic Index of Real Gas given Heat Capacity at Constant Pressure

k = \frac{C p}{C p - (\frac{v \cdot T \cdot (α^{2})}{K T})}

Go Adiabatic Index of Real Gas given Heat Capacity at Constant Volume

k = \frac{(\frac{v \cdot T \cdot (α^{2})}{K T}) + C v}{C v}

Other formulas in Specific Heat Capacity category

Go Difference between Cp and Cv of Real Gas

δC pv = \frac{v \cdot T \cdot (α^{2})}{K T}

Go Heat Capacity at Constant Pressure of Real Gas

C p = (\frac{v \cdot T \cdot (α^{2})}{K T}) + C v

Go Heat Capacity at Constant Volume of Real Gas

C v = C p - (\frac{v \cdot T \cdot (α^{2})}{K T})

Go Coefficient of Thermal Expansion of Real Gas

α = \sqrt{\frac{(C p - C v) \cdot K T}{v \cdot T}}

How to Evaluate Adiabatic Index of Real Gas?

Adiabatic Index of Real Gas evaluator uses Adiabatic Index = Heat Capacity Constant Pressure/Heat Capacity Constant Volume to evaluate the Adiabatic Index, The Adiabatic Index of Real Gas is the ratio of the heat capacity at constant pressure (Cp) to heat capacity at constant volume (Cv). Adiabatic Index is denoted by k symbol.

How to evaluate Adiabatic Index of Real Gas using this online evaluator? To use this online evaluator for Adiabatic Index of Real Gas, enter Heat Capacity Constant Pressure (C_p) & Heat Capacity Constant Volume (C_v) and hit the calculate button.

FAQs on Adiabatic Index of Real Gas

What is the formula to find Adiabatic Index of Real Gas?

The formula of Adiabatic Index of Real Gas is expressed as Adiabatic Index = Heat Capacity Constant Pressure/Heat Capacity Constant Volume. Here is an example- 1.39415 = 1001/718.

How to calculate Adiabatic Index of Real Gas?

With Heat Capacity Constant Pressure (C_p) & Heat Capacity Constant Volume (C_v) we can find Adiabatic Index of Real Gas using the formula - Adiabatic Index = Heat Capacity Constant Pressure/Heat Capacity Constant Volume.

What are the other ways to Calculate Adiabatic Index?

Here are the different ways to Calculate Adiabatic Index-

Adiabatic Index=Heat Capacity Constant Pressure/(Heat Capacity Constant Pressure-((Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/Isothermal Compressibility))
Adiabatic Index=(((Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/Isothermal Compressibility)+Heat Capacity Constant Volume)/Heat Capacity Constant Volume

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