Amount of heat required to change the temperature of one unit of volume by one unit of temperature:

$\begin{array}{l}\displaystyle c_v = \frac{\delta Q}{\delta V \cdot \delta T}\end{array}$

Symbol	Dimension	SI units	Oil metric units	Oil field units
$\begin{array}{l}c_v\end{array}$	M L^-1T⁻²Θ⁻¹	J/(m³⋅K)	J/(m³⋅K)	BTU/(ft³⋅°F)

Volumetric Heat Capacity depends on the way the heat is transferred and as such is not a table property of the matter.

The two major heat transfer processes are isobaric and isohoric which define:

Isobaric specific heat capacity	Isochoric specific heat capacity
$\begin{array}{l}c_{vp}\end{array}$	$\begin{array}{l}c_V\end{array}$

Both $\begin{array}{l}c_{mp}\end{array}$ and $\begin{array}{l}c_{mV}\end{array}$ are characterising the properties of matter and properly tabulated for the vast majority of materials.

Volumetric Heat Capacity relates to Specific Heat Capacity $\begin{array}{l}c_m\end{array}$ and density of the matter $\begin{array}{l}\rho\end{array}$ as:

(1)	$\begin{array}{l}\displaystyle c_v = frac{c_m}{\rho}\end{array}$

In many technical papers the "m" or "v" index is omitted which leads to confusion between Specific Heat Capacity $\begin{array}{l}c_m\end{array}$ and Volumetric Heat Capacity $\begin{array}{l}c_v\end{array}$ .

The other confusion is made between Volumetric Heat Capacity $\begin{array}{l}c_v\end{array}$ and Isohoric Heat Capacity $\begin{array}{l}c_V\end{array}$ .

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See also

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Volumetric heat capacity

See also