Universal relation between Isobaric molar heat capacity (cP) and Isochoric molar heat capacity (cV):
| (1) | c_P - c_V = V_m \, T \, \frac{\alpha_V^2}{\beta_T} |
where
| temperature | V_m | molar volume | |
\beta_T | isothermal compressibility | \alpha_V | thermal expansion coefficient |
For incompressible substances the Isobaric molar heat capacity (cP) and Isochoric molar heat capacity (cV) are identical:
| (2) | c_P = c_V |
For the ideal gas it will take a form:
| (3) | c_P - c_V = R |
where
See also
Physics / Thermodynamics / Thermodynamic process / Heat Transfer / Heat Capacity / Molar heat capacity
[ Heat ]