Internal energy of ideal gas via temperature¶

Internal energy of an ideal gas is the sum of the kinetic energy of all of its molecules.

Notation:

$R$ (R) is molar_gas_constant.

Conditions:

The gas is ideal.

Links:

internal_energy¶: internal_energy of the gas.

Symbol:: U
Latex:: $U$
Dimension:: energy

mass¶: mass of the gas.

Symbol:: m
Latex:: $m$
Dimension:: mass

temperature¶: temperature of the gas.

Symbol:: T
Latex:: $T$
Dimension:: temperature

molar_mass¶: molar_mass of the gas.

Symbol:: M
Latex:: $M$
Dimension:: mass/amount_of_substance

law¶

U = 3 * m * R * T / (2 * M)

Latex:: $U = \frac{3 m R T}{2 M}$