FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

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

GoAdiabatic Index of Real Gas Formula

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

Fx Copy

LaTeX Copy

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

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

k - Adiabatic Index?v - Specific Volume?T - Temperature?α - Coefficient of Thermal Expansion?K_T - Isothermal Compressibility?C_v - Heat Capacity Constant Volume?

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

With values

With units

Only example

Here is how the Adiabatic Index of Real Gas given Heat Capacity at Constant Volume equation looks like with Values.

Here is how the Adiabatic Index of Real Gas given Heat Capacity at Constant Volume equation looks like with Units.

Here is how the Adiabatic Index of Real Gas given Heat Capacity at Constant Volume equation looks like.

1.0002 = \frac{(\frac{11 \cdot 85 \cdot ({0.1}^{2})}{75}) + 718}{718}

1.0002 = \frac{(\frac{11m³/kg \cdot 85K \cdot ({0.1K⁻¹}^{2})}{75m²/N}) + 718J/(kg*K)}{718J/(kg*K)}

1.0002 = \frac{(\frac{11 \cdot 85 \cdot ({0.1}^{2})}{75}) + 718}{718}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Chemistry » Category

Kinetic Theory of Gases » Category

Real Gas » fx Adiabatic Index of Real Gas given Heat Capacity at Constant Volume

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

Follow our step by step solution on how to calculate Adiabatic Index of Real Gas given Heat Capacity at Constant Volume?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

k = \frac{(\frac{11m³/kg \cdot 85K \cdot ({0.1K⁻¹}^{2})}{75m²/N}) + 718J/(kg*K)}{718J/(kg*K)}

Next Step Prepare to Evaluate

∴

k = \frac{(\frac{11 \cdot 85 \cdot ({0.1}^{2})}{75}) + 718}{718}

Next Step Evaluate

∴

k = 1.00017363045497

LAST Step Rounding Answer

∴

k = 1.0002

Adiabatic Index of Real Gas given Heat Capacity at Constant Volume 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

Specific Volume

Specific Volume of the body is its volume per unit mass.

Symbol: v

Measurement: Specific VolumeUnit: m³/kg

Note: Value should be greater than 0.

Formulas to find Specific Volume

Temperature

Temperature is the degree or intensity of heat present in a substance or object.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature

Coefficient of Thermal Expansion

Coefficient of thermal expansion describes how the size of an object changes with a change in temperature.

Symbol: α

Measurement: Thermal ExpansionUnit: K⁻¹

Note: Value can be positive or negative.

Formulas to find Coefficient of Thermal Expansion

Isothermal Compressibility

The isothermal compressibility is the change in volume due to change in pressure at constant temperature.

Symbol: K_T

Measurement: CompressibilityUnit: m²/N

Note: Value can be positive or negative.

Formulas to find Isothermal Compressibility

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

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

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})}

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 given Heat Capacity at Constant Volume?

Adiabatic Index of Real Gas given Heat Capacity at Constant Volume evaluator uses Adiabatic Index = (((Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/Isothermal Compressibility)+Heat Capacity Constant Volume)/Heat Capacity Constant Volume to evaluate the Adiabatic Index, The Adiabatic Index of Real Gas given Heat Capacity at constant Volume 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 given Heat Capacity at Constant Volume using this online evaluator? To use this online evaluator for Adiabatic Index of Real Gas given Heat Capacity at Constant Volume, enter Specific Volume (v), Temperature (T), Coefficient of Thermal Expansion (α), Isothermal Compressibility (K_T) & Heat Capacity Constant Volume (C_v) and hit the calculate button.

FAQs on Adiabatic Index of Real Gas given Heat Capacity at Constant Volume

What is the formula to find Adiabatic Index of Real Gas given Heat Capacity at Constant Volume?

The formula of Adiabatic Index of Real Gas given Heat Capacity at Constant Volume is expressed as Adiabatic Index = (((Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/Isothermal Compressibility)+Heat Capacity Constant Volume)/Heat Capacity Constant Volume. Here is an example- 1.000174 = (((11*85*(0.1^2))/75)+718)/718.

How to calculate Adiabatic Index of Real Gas given Heat Capacity at Constant Volume?

With Specific Volume (v), Temperature (T), Coefficient of Thermal Expansion (α), Isothermal Compressibility (K_T) & Heat Capacity Constant Volume (C_v) we can find Adiabatic Index of Real Gas given Heat Capacity at Constant Volume using the formula - Adiabatic Index = (((Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/Isothermal Compressibility)+Heat Capacity Constant Volume)/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 Volume
Adiabatic Index=Heat Capacity Constant Pressure/(Heat Capacity Constant Pressure-((Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/Isothermal Compressibility))

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

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

​GoAdiabatic Index of Real Gas Formula

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

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

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

Adiabatic Index of Real Gas given Heat Capacity at Constant Volume Formula Elements

Other Formulas to find Adiabatic Index

Other formulas in Specific Heat Capacity category

How to Evaluate Adiabatic Index of Real Gas given Heat Capacity at Constant Volume?

FAQs on Adiabatic Index of Real Gas given Heat Capacity at Constant Volume

Variable Name

GoAdiabatic Index of Real Gas Formula

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