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:

  1. Wikipedia, second formula.

isobaric_heat_capacity

heat_capacity at constant pressure.

Symbol:

C_p

Latex:

\(C_{p}\)

Dimension:

energy/temperature

isochoric_heat_capacity

heat_capacity at constant volume.

Symbol:

C_V

Latex:

\(C_{V}\)

Dimension:

energy/temperature

volume

volume of the substance.

Symbol:

V

Latex:

\(V\)

Dimension:

volume

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:
\[C_{p} - C_{V} = \frac{V T \alpha_{V}^{2}}{\beta_{T}}\]