Isochoric molar heat capacity of ideal gas via adiabatic index

For ideal gases the isobaric and isochoric heat capacities can be calculated via the molar gas constant and the adiabatic index of the gas.

Notation:

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

Links:

  1. Wikipedia.

isochoric_molar_heat_capacity

molar_heat_capacity at constant volume.

Symbol:

c_Vm

Latex:

\(c_{V, m}\)

Dimension:

energy/(amount_of_substance*temperature)

adiabatic_index

adiabatic_index, also known as heat capacity ratio, of the gas.

Symbol:

gamma

Latex:

\(\gamma\)

Dimension:

dimensionless

law

c_Vm = R / (gamma - 1)

Latex:
\[c_{V, m} = \frac{R}{\gamma - 1}\]