The distribution of molecular energies depends upon the number of freedoms associated with the
molecule. The molecules of matter at ordinary temperatures can be considered to be ceaseless
random motion at high speeds. The average translational kinetic energy for any molecule in three
dimensions can be
For N molecules the average kinetic energy in three dimensions will be:
For a diatomic gas, the average kinetic energy in three dimensions will be as above. However, the total internal energy will be
When the diatomic molecules are set to vibrations to increase two of degrees of freedom then the
expression for the internal energy will be: