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

 c_P - c_V = V_m \, T \, \frac{\alpha_V^2}{\beta_T}

where


temperature

molar volume

isothermal compressibility

thermal expansion coefficient


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

 c_P = c_V


For the ideal gas it will take a form:

 c_P - c_V = R

where

Gas constant


See also


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

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