Heat Capacity = C

Amount of heat to be supplied to a given amount of a material to produce a unit change in its temperature:

$\begin{array}{l}\displaystyle C = \frac{\delta Q}{\delta T}\end{array}$

Symbol	Dimension	SI units	Oil metric units	Oil field units
$\begin{array}{l}C\end{array}$	M L²T⁻²Θ⁻¹	J/K	J/K	BTU/°F

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 heat capacity	Isochoric heat capacity
$\begin{array}{l}C_p\end{array}$	$\begin{array}{l}C_v\end{array}$

Both $\begin{array}{l}C_p\end{array}$ and $\begin{array}{l}C_V\end{array}$ are proportional to the amount of the matter involved in a Heat Transfer process and as such are not material properties.

One can relate them to material properties through the known material mass $\begin{array}{l}m\end{array}$ or a material volume $\begin{array}{l}V\end{array}$ or material amount of substance $\begin{array}{l}\nu\end{array}$ :

Specific heat capacity

Volumetric Heat Capacity

Molar Heat Capacity

(1)	$\begin{array}{l}\displaystyle c_m = C/m\end{array}$

(2)	$\begin{array}{l}\displaystyle c_V = C/V\end{array}$

(3)	$\begin{array}{l}\displaystyle c_M = C/\nu\end{array}$

Overall, there are totally six different heat capacity material measures:

Specific heat capacity

Volumetric Heat Capacity

Molar Heat Capacity

Isobaric

Isobaric specific heat capacity

(4)	$\begin{array}{l}\displaystyle c_{mp} = C_p/m\end{array}$

Isobaric volumetric heat capacity

(5)	$\begin{array}{l}\displaystyle c_{Vp} = C_p/V\end{array}$

(6)	$\begin{array}{l}\displaystyle c_{\nu p} = C_p/\nu\end{array}$

Isochoric

Isochoric specific heat capacity

(7)	$\begin{array}{l}\displaystyle c_{mv} = C_v/m\end{array}$

Isochoric volumetric heat capacity

(8)	$\begin{array}{l}\displaystyle c_{Vv} = C_v/V\end{array}$

(9)	$\begin{array}{l}\displaystyle c_{\nu v} = C_v/\nu\end{array}$

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Heat Capacity = C