k B T = m v 2 3 , which leads to a simplified expression of the average translational kinetic energy per molecule, 1 2 m v 2 = 3 2 k B T . The translational kinetic energy of the system is N times that of a molecule, namely K t = 1 2 N m v 2 . The temperature, T is related to the translational kinetic energy by the description above, resulting in