(20) 1. Effects of Reference Energies on Thermodynamic Quantitites: When the vibrational energy levels of a diatomic molecule are measured relative to the bottom of the internuclear potential, the vibrational partition function then becomes zvib(T)=1ehvehv/2. Show the effects of including the zero point energy on the calculation of the energy, free energy, entropy and heat capacity for an ideal gas of N diatomic molecules. Consider only the contributions from the vibrational energy and give the high and low temperature limits of your expressions. Be sure to show your work and reasoning