Isobaric 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.

Conditions:

1. The gas is ideal.

Links:

1. Wikipedia.

isobaric_molar_heat_capacity

molar_heat_capacity at constant pressure.

Symbol:

c_pm

Latex:

\(c_{p, m}\)

Dimension:

energy/(amount_of_substance*temperature)

adiabatic_index

adiabatic_index, or heat capacity ratio of the gas.

Symbol:

gamma

Latex:

\(\gamma\)

Dimension:

dimensionless

law

c_pm = R * gamma / (gamma - 1)

Latex:

\[c_{p, m} = \frac{R \gamma}{\gamma - 1}\]