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

 C =  \frac{\delta Q}{\delta T} 

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 result in different values of heat capacity:

Both  and  are proportional to the amount of chemical substance involved in a heat transfer process and as such are not the material properties.

The ratio  is called a Heat Capacity Ratio (γ) or Adiabatic Index (γ) or Isentropic expansion factor (κ) and is a material property.

Based on Mayer's relation the Isobaric heat capacity is always greater than Isochoric heat capacity:

C_P \geq C_V

One can relate them to material properties through the known material mass  or a material volume  or material amount of substance :

c = C/\nu

c_m = C/m

c_v = C/V

Overall, there are totally six different intensive physical properties related to heat capacity:

c_P = C_P/\nu

c_{Pm} = C_P/m

c_{Pv} = C_P/V

c_V = C_V/\nu

c_{Vm} = C_V/m

c_{Vv} = C_V/V

See also

Physics / Thermodynamics / Thermodynamic process / Heat Transfer

[ Heat ] [ Isobaric heat capacity ] [ Isochoric heat capacity ]

[ Specific heat capacity ] [ Volumetric Heat Capacity ][ Molar Heat Capacity ][ Mayer's relation ]