According to the Equipartition of Energy principle, the average kinetic energy of each degree of freedom in a system is considered as equal once the system has reached thermal equilibrium. Describe and show how this principle breaks down, particularly at low temperatures. Using the expression provided below for vibrational energy, show that the maximum value of the vibrational energy is the value predicted by the Equipartition of Energy principle.

According to the Equipartition of Energy principle, the average kinetic energy of each degree of freedom in a system is considered as equal once the system has reached thermal equilibrium. Describe and show how this principle breaks down, particularly at low temperatures. Using the expression provided below for vibrational energy, show that the maximum value of the vibrational energy is the value predicted by the Equipartition of Energy principle. RTX Evib = et-1 R = 8.3145 J K mol"? h = 6.626 x 10-34 Js 1 atm 101325 N m2 k= 1.38 x 10-23 J K-1 NA= 6.022 x 1023 moll