Q2. Consider the distribution of molecules in energy levels in the diagram below. The system is at 8 K. Energy Level Number of Molecules Internal Energy (i) (U) 5 2 9 kg 4 6 6 kg 3 10 5 kg 2 18 3 kg 1 30 1 kg What are the values of the system (a) internal energy (U), (b) entropy (S) and (c) Helmholtz free energy of the system? Answer in terms of ke for all parts. Note the number of molecules is small and approximations should not be made. (6 points for each)