Kinetic energy of gas
In an ideal gas, there are no attractive forces between the gas molecules, and there is no rotation or vibration within the molecules. The kinetic energy of the translational motion of an ideal gas depends on its temperature. The formula for the kinetic energy of a gas defines the average kinetic energy per molecule. The kinetic energy is measured in Joules (J), and the temperature is measured in Kelvin (K).
\[(average\; kinetic \; energy \; per \; molecule)=\frac{3}{2}(Boltzmann's\; constant)(temperature) \]
\[K=\frac{3}{2}k_{B}T \]
K = average kinetic energy per molecule of gas (J)
kB = Boltzmann's constant \[\left (1.38\times 10^{-23}J/K \right ) \]
T = temperature (k)