Average kinetic energy of ideal gas from temperature

The kinetic theory of ideal gases allows us to determine the average kinetic energy for an ideal gas. It states that the average kinetic energy for all ideal gases is directly proportional to the absolute temperature of the gas and only depends on the temperature.

Notation:

1. \(k_\text{B}\) (k_B) is boltzmann_constant.

Conditions:

1. The gas is ideal.

2. The gas is monatomic.

Links:

1. Wikipedia.

average_kinetic_energy

Average kinetic_energy of the ideal gas.

Symbol:

avg(K)

Latex:

\(\langle K \rangle\)

Dimension:

energy

equilibrium_temperature

Equilibrium temperature of the gas.

Symbol:

T

Latex:

\(T\)

Dimension:

temperature

law

avg(K) = 3 * k_B / 2 * T

Latex:

\[\langle K \rangle = \frac{3 k_\text{B}}{2} T\]