As an approximate rule, a particular vibrational mode in a molecule will contribute to the equipartition principle energy at temperatures where 3 2 kBT Ú ve for that mode. In the following table are listed all the vibrational constants for several molecules. A sample of 1.00 mol of one of these molecules is heated from 350 K to 360 K, absorbing 698 J of energy in the process. Show which molecule is most likely the one in the sampleand degeneracies g = n, where n = 1,2,3, c . If the temperature is high enough that this becomes a roughly continuous (classical) distribution of states, write the integral you could use to calculate the average overall energy E in a sample of N molecules at temperature T.
