Page tree

Versions Compared

Key

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

@wikipedia


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

LaTeX Math Block
alignmentleft
 C =  \frac{\delta Q}{\delta T} 

...


Heat Capacity depends on the way the 
heat is  is transferred and as such is not a table property of the matter.

...


Both
 

LaTeX Math Inline
bodyC_P
 and 
LaTeX Math Inline
bodyC_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 

LaTeX Math Inline
body\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:

...


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


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

Isobaric molar heat capacity 

LaTeX Math Block
anchor1
alignmentleft
c_P = C_P/\nu
Isobaric specific heat capacity
LaTeX Math Block
anchor1
alignmentleft
c_{Pm} = C_P/m
Isobaric volumetric heat capacity
LaTeX Math Block
anchor1
alignmentleft
c_{Pv} = C_P/V
Isochoric (P = const)

Isochoric molar heat capacity

LaTeX Math Block
anchor1
alignmentleft
c_V = C_V/\nu
Isochoric specific heat capacity
LaTeX Math Block
anchor1
alignmentleft
c_{Vm} = C_V/m
Isochoric volumetric heat capacity
LaTeX Math Block
anchor1
alignmentleft
c_{Vv} = C_V/V

...