Synonym: Heat Capacity Ratio (γ) = Adiabatic Index (γ) = Isentropic expansion factor (κ) = Isentropic exponent (κ)

Ratio between Isobaric heat capacity $\begin{array}{l}C_P\end{array}$ and Isochoric heat capacity $\begin{array}{l}C_V\end{array}$ :

(1)	$\begin{array}{l}\displaystyle \gamma = \frac{C_P}{C_V}\end{array}$

Since (1) is the ratio it can be equivalently represented by intensive properties:

(2)	$\begin{array}{l}\displaystyle \gamma = \frac{c_P}{c_V} = \frac{c_{Pm}}{c_{Vm}}= \frac{c_{Pv}}{c_{Vv}}\end{array}$

where

$\begin{array}{l}c_P\end{array}$	Isobaric molar heat capacity	$\begin{array}{l}c_{Pm}\end{array}$	Isobaric specific heat capacity	$\begin{array}{l}c_{Pv}\end{array}$	Isobaric volumetric heat capacity
$\begin{array}{l}c_V\end{array}$	Isochoric molar heat capacity	$\begin{array}{l}c_{Vm}\end{array}$	Isochoric specific heat capacity	$\begin{array}{l}c_{Vv}\end{array}$	Isochoric volumetric heat capacity

Heat capacity ratio for various gases ^[1]:

References

White, Frank M. (October 1998). Fluid Mechanics (4th ed.). New York: McGraw Hill. ISBN 978-0-07-228192-7.

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