Isochoric and isobaric heat capacities of homogeneous substance¶
The Mayer’s relation is the relation between heat capacity at constant pressure and heat capacity at constant volume. In the current form it is applicable to any homogeneous substance, not just ideal gases.
Links:
- isobaric_heat_capacity¶
heat_capacity
at constantpressure
.- Symbol:
C_p
- Latex:
\(C_{p}\)
- Dimension:
energy/temperature
- isochoric_heat_capacity¶
heat_capacity
at constantvolume
.- Symbol:
C_V
- Latex:
\(C_{V}\)
- Dimension:
energy/temperature
- temperature¶
temperature
of the substance.- Symbol:
T
- Latex:
\(T\)
- Dimension:
temperature
- thermal_expansion_coefficient¶
thermal_expansion_coefficient
of the substance. Also see Thermal volumetric expansion coefficient.- Symbol:
alpha_V
- Latex:
\(\alpha_{V}\)
- Dimension:
1/temperature
- isothermal_compressibility¶
thermodynamic_compressibility
of the substance. Also see Isothermal compressibility.- Symbol:
beta_T
- Latex:
\(\beta_{T}\)
- Dimension:
1/pressure
- law¶
C_p - C_V = V * T * alpha_V^2 / beta_T
- Latex:
- \[C_{p} - C_{V} = \frac{V T \alpha_{V}^{2}}{\beta_{T}}\]