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@wikipedia


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

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anchor1MAYER
alignmentleft
 c_P = \frac{C}{\nu}- c_V = \frac{1}{\nu} \cdotV_m \, T \, \frac{\delta Qalpha_V^2}{\delta beta_T} 

where


LaTeX Math Inline
bodyT
temperature

LaTeX Math Inline
bodyV_m

molar volume

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body\

nuamount of chemical substance 

beta_T

isothermal compressibility

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C

\alpha_V

thermal expansion coefficient


For the ideal gas it will take a form:

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anchorIDEALGAS
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 c_P - c_V = R

where

LaTeX Math Inline
bodyR

Gas constant
heat capacity of the material


See also

...

Physics / Thermodynamics / Thermodynamic processHeat Transfer / Heat Capacity

[ Heat ] Volumetric Heat Capacity ]