3. [Properties of a Diatomic Ideal Gas]: Consider a diatomic ideal gas of fixed N, V, and T for which you can represent the molecular partition function as 9 = qtransdelecrot qvib = 3/2 (27 (m + m)kut) 2) KBT h 1 T BDe V. gege (a) Demonstrate that this gas still obeys the ideal gas . (c) Demonstrate that you can write Cy equation for each of the three heat capacities. rot law. e 27 1-e T (3) (b) Demonstrate that you can write (E) = (E) trans + (E)elec + (E)rot + (E)vib and derive an equation for each of the four average energies. Cv,trans + CV,rot + Cv,vib and derive an