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@wikipedia


Universal relation between
 Isobaric molar heat capacity (cP) and  Isochoric molar heat capacity (cV):

LaTeX Math Block
anchorMAYER
alignmentleft
 c_P - c_V = V_m \, T \, \frac{\alpha_V^2}{\betac_T}

where

LaTeX Math Inline
bodyT

temperature

LaTeX Math Inline
bodyV_m

molar volume

LaTeX Math Inline
body\betac_T

isothermalIsothermal compressibilityCompressibility

LaTeX Math Inline
body\alpha_V

thermal expansion coefficient


For incompressible substances matter the Isobaric molar heat capacity (cP) and   and Isochoric molar heat capacity (cV) are identical:

LaTeX Math Block
anchor1GBHBcompress
alignmentleft
 c_P = c_V


For the ideal gas it will take a form:

...

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bodyR

Gas constant


Both 
incompressible matter and ideal gas are idealistic models but some real mattes come very close to conditions of 

LaTeX Math Block Reference
anchorcompress
 or 
LaTeX Math Block Reference
anchorIDEALGAS
 at engineering level of accuracy.

See also

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Physics / Thermodynamics / Thermodynamic processHeat Transfer / Heat Capacity / Molar heat capacity

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