Amount of heat required to change the temperature of one unit of amount of matter under a constant pressure by one unit of temperature:

$\begin{array}{l}\displaystyle c_V = \frac{C_V}{\nu} = \frac{1}{\nu} \cdot \left( \frac{\delta Q}{\delta T} \right)_P\end{array}$

Symbol	Dimension	SI units	Oil metric units	Oil field units
$\begin{array}{l}c_V\end{array}$	M L²T⁻²Θ⁻¹	J/(mol⋅K)	J/(mol⋅K)	BTU/(mol⋅°R)

It is a material property and properly tabulated for the vast majority of materials.

The Isochoric molar heat capacity is related to Isobaric specific heat capacity $\begin{array}{l}c_{Pm}\end{array}$ and Volumetric Heat Capacity $\begin{array}{l}c_{Pv}\end{array}$ as:

(1)	$\begin{array}{l}\displaystyle c_V = M \cdot c_{Vm}\end{array}$

(2)	$\begin{array}{l}\displaystyle c_V = V_m \cdot c_{Vv}\end{array}$

where

$\begin{array}{l}M\end{array}$

$\begin{array}{l}V_m\end{array}$

(3)	$\begin{array}{l}\displaystyle c_V = \sum_i \, x_i \, c_{V \, i}\end{array}$

where

$\begin{array}{l}x_i\end{array}$	mole fraction of the $\begin{array}{l}i\end{array}$ -th mixture component, subjected to $\begin{array}{l}\sum_i x_i= 1\end{array}$
$\begin{array}{l}c_{V\, i}\end{array}$	isochoric molar heat capacity of the $\begin{array}{l}i\end{array}$ -th mixture component

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See also