Page tree

Versions Compared

Key

  • This line was added.
  • This line was removed.
  • Formatting was changed.

@wikipedia


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

LaTeX Math Block
alignmentleft
 C =  \frac{\delta Q}{\delta T} 
SymbolDimensionSI unitsOil metric unitsOil field units

LaTeX Math Inline
bodyC

M L2 T−2 Θ−1J/KJ/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

LaTeX Math Inline
bodyC_P

LaTeX Math Inline
bodyC_V


Both 

LaTeX Math Inline
bodyC_P
 and 
LaTeX Math Inline
bodyC_V
 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 

LaTeX Math Inline
bodym
 or a material volume 
LaTeX Math Inline
bodyV
 or material amount of substance 
LaTeX Math Inline
body\nu
:

Molar Heat Capacity Specific heat capacityVolumetric Heat Capacity
LaTeX Math Block
anchorcMol
alignmentleft
c = C/\nu
LaTeX Math Block
anchorcm
alignmentleft
c_m = C/m
LaTeX Math Block
anchorcV
alignmentleft
c_v = C/V


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


Molar Heat Capacity Specific heat capacityVolumetric Heat Capacity
Isobaric

Isobaric molar heat capacity 

LaTeX Math Block
anchor1
alignmentleft
c_P = C_P/\nu
Isobaric specific heat capacity
LaTeX Math Block
anchor1
alignmentleft
c_{mP} = C_p/m
Isobaric volumetric heat capacity
LaTeX Math Block
anchor1
alignmentleft
c_{vP} = C_P/V
Isochoric

Isochoric molar heat capacity

LaTeX Math Block
anchor1
alignmentleft
c_v = C_v/\nu
Isochoric specific heat capacity
LaTeX Math Block
anchor1
alignmentleft
c_{mv} = C_v/m
Isochoric volumetric heat capacity
LaTeX Math Block
anchor1
alignmentleft
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 ]