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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}
SymbolDimensionSI unitsOil metric unitsOil field units

C

M L2 T−2 Θ−1J/KJ/K

 BTU/°R


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

The ratio  \gamma = C_P/C_V 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:

(1) C_P \geq C_V


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

Molar Heat Capacity Specific heat capacityVolumetric Heat Capacity
(2) c = C/\nu
(3) c_m = C/m
(4) c_v = C/V


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


Molar Heat Capacity Specific heat capacityVolumetric Heat Capacity
Isobaric (V= const)

Isobaric molar heat capacity 

(5) c_P = C_P/\nu
Isobaric specific heat capacity
(6) c_{Pm} = C_P/m
Isobaric volumetric heat capacity
(7) c_{Pv} = C_P/V
Isochoric (P = const)

Isochoric molar heat capacity

(8) c_V = C_V/\nu
Isochoric specific heat capacity
(9) c_{Vm} = C_V/m
Isochoric volumetric heat capacity
(10) 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 ]


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