In all exercises, you must include intermediate calculations, explanatory text, physical ob- servations and considerations in the context of the calculations performed. A system consists of three particles: A, B and C. The particle A may have the energy 0 and A. The particles B and C may have the energy 0, A and 6A Exercise a) Determine the partition function ZA for particle A as a function of A and B = 1/ (kBT). Exercise b) Determine the partition function ZB for particle B as a function of A and B. Exercise c) Determine the partition function for the entire system Z as a function of A and B. First if the particles B and C are distinguishable, and then if the particles are indistinguishable. Exercise d) Sketch the graph of Z as a function of the relative temperature kgT/A, first if the particles B and C are distinguishable, and then if the particles are indistinguishable. Discuss the behavior of the graphs at relatively high temperatures, ie. kRT/A >> 6A