= (Q3) A system consists of a mole of molecules at room temperature (300 K), where each molecule can be in one of three conformations, of energies Eo = 0, E akBT, and E2 2akbT, respectively. There is no correlation between the conformations of any two molecules. i) What are the normalized statistical weights (probabilities of occurrence) of each conformation? ii) What is the average conformational energy (expectation value) of the system? 111) How much is the Helmholtz free energy F of the system? If a=0.5, find the numerical answer to ii) and iii), using the fact that, at room temperature, RT = NakgT = 2479 J