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}{c_T} |
where
T | temperature | V_m | molar volume |
c_T | Isothermal Compressibility | \alpha_V | thermal expansion coefficient |
For incompressible matter 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
Both incompressible matter and ideal gas are idealistic models but some real mattes come very close to conditions of
(2) or
(3) at engineering level of accuracy.
See also
Physics / Thermodynamics / Thermodynamic process / Heat Transfer / Heat Capacity / Molar heat capacity
[ Heat ]