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:

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

Conditions:

1. The gas is ideal.

Links:

1. Physics LibreTexts.

2. Wikipedia, see text.

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:

\[U = \frac{3 m R T}{2 M}\]