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Adiabatic Index Formula

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The Heat Capacity Ratio also known as the adiabatic index is the ratio of specific heats i.e. the ratio of the heat capacity at constant pressure to heat capacity at constant volume. Check FAQs

γ = \frac{C p molar}{C v molar}

γ - Heat Capacity Ratio?C_{p molar} - Molar Specific Heat Capacity at Constant Pressure?C_{v molar} - Molar Specific Heat Capacity at Constant Volume?

Adiabatic Index Example

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

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

Here is how the Adiabatic Index equation looks like.

1.1845 = \frac{122}{103}

1.1845 = \frac{122J/K*mol}{103J/K*mol}

1.1845 = \frac{122}{103}

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Adiabatic Index Solution

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

FIRST Step Consider the formula

γ = \frac{C p molar}{C v molar}

Next Step Substitute values of Variables

∴

γ = \frac{122J/K*mol}{103J/K*mol}

Next Step Prepare to Evaluate

∴

γ = \frac{122}{103}

Next Step Evaluate

∴

γ = 1.18446601941748

LAST Step Rounding Answer

∴

γ = 1.1845

Adiabatic Index Formula Elements

Variables

Heat Capacity Ratio

The Heat Capacity Ratio also known as the adiabatic index is the ratio of specific heats i.e. the ratio of the heat capacity at constant pressure to heat capacity at constant volume.

Symbol: γ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Heat Capacity Ratio

Molar Specific Heat Capacity at Constant Pressure

Molar Specific Heat Capacity at Constant Pressure, (of a gas) is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant pressure.

Symbol: C_{p molar}

Measurement: Molar Specific Heat Capacity at Constant PressureUnit: J/K*mol

Note: Value should be greater than 0.

Formulas to find Molar Specific Heat Capacity at Constant Pressure

Molar Specific Heat Capacity at Constant Volume

Molar Specific Heat Capacity at Constant Volume, (of a gas) is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant volume.

Symbol: C_{v molar}

Measurement: Molar Specific Heat Capacity at Constant VolumeUnit: J/K*mol

Note: Value should be greater than 0.

Formulas to find Molar Specific Heat Capacity at Constant Volume

Other formulas in Ideal Gas category

Go Heat Transfer in Isochoric Process

Q = n \cdot C v molar \cdot ΔT

Go Change in Internal Energy of System

U = n \cdot C v \cdot ΔT

Go Enthalpy of System

H s = n \cdot C p \cdot ΔT

Go Specific Heat Capacity at Constant Pressure

C pm = [R] + C v

How to Evaluate Adiabatic Index?

Adiabatic Index evaluator uses Heat Capacity Ratio = Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume to evaluate the Heat Capacity Ratio, The adiabatic index, the ratio of specific heats, or Laplace's coefficient,is the ratio of the heat capacity at constant pressure (C_p) to heat capacity at constant volume (C_v). It is sometimes also known as the isentropic expansion factor and is denoted by γ (gamma) for an ideal gas. Heat Capacity Ratio is denoted by γ symbol.

How to evaluate Adiabatic Index using this online evaluator? To use this online evaluator for Adiabatic Index, enter Molar Specific Heat Capacity at Constant Pressure (C_{p molar}) & Molar Specific Heat Capacity at Constant Volume (C_{v molar}) and hit the calculate button.

FAQs on Adiabatic Index

What is the formula to find Adiabatic Index?

The formula of Adiabatic Index is expressed as Heat Capacity Ratio = Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume. Here is an example- 1.184466 = 122/103.

How to calculate Adiabatic Index?

With Molar Specific Heat Capacity at Constant Pressure (C_{p molar}) & Molar Specific Heat Capacity at Constant Volume (C_{v molar}) we can find Adiabatic Index using the formula - Heat Capacity Ratio = Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume.

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