"14. Seven distinguishable particles are distributed over two energy levels. The upper level is nondegenerate and has an energy of 10*eV_ The lower level is two-fold degenerate and has an energy of 0 eV. Assume that the system is prepared to have two particles in the upper level and five in the lower level: (a) Calculate the energy of the system (b) Calculate the entropy of the system Recall that for 'distinguishable particles the thermodynamic probability (i.e_ number of microstates) is given by
WB =N!I 9 J=1
where Nis the total number of particles, N represents the number of particles in the jth enery level, n is the total number of energy levels and g is the degeneracy of the jth level: (c) Write the partition function of this system (d) If there is no change in the system when it is brought into contact with a reservoir at a temperature T, calculate the temperature of the reservoir:"