Isochoric and isobaric heat capacities of ideal gas

The Mayer’s relation is the relation between heat capacity at constant pressure and that at constant volume in the case of an ideal gas.

Notation:

  1. \(R\) (R) is molar_gas_constant.

Conditions:

  1. Gas is ideal.

Links:

  1. Wikipedia, first formula.

isobaric_heat_capacity

heat_capacity of gas at constant pressure.

Symbol:

C_p

Latex:

\(C_{p}\)

Dimension:

energy/temperature

isochoric_heat_capacity

heat_capacity of gas at constant volume.

Symbol:

C_V

Latex:

\(C_{V}\)

Dimension:

energy/temperature

amount_of_substance

amount_of_substance.

Symbol:

n

Latex:

\(n\)

Dimension:

amount_of_substance

law

C_p - C_V = n * R

Latex:
\[C_{p} - C_{V} = n R\]