k = 1 2 3 4 5 . e/e= 4 3 4.2 2 . . . . • Figure 3.2 If the assembly obeys Bose-Einstein (B-E) statistics instead: (a) Co

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K 1 2 3 4 5 E E 4 3 4 2 2 Figure 3 2 If The Assembly Obeys Bose Einstein B E Statistics Instead A Co 1 (42.15 KiB) Viewed 47 times

k = 1 2 3 4 5 . e/e= 4 3 4.2 2 . . . . • Figure 3.2 If the assembly obeys Bose-Einstein (B-E) statistics instead: (a) Construct a diagram similar to that in Figure 3.2. (7) (b) Explain why the B-E assembly has more macrostates than the F-D assembly. (2) (c) Find the multiplicity of the entire B-E assembly. (5) (d) What do you expect for the sum of the average occupation numbers of all the available energy levels to amount to? (1) QUESTION 4: (25 MARKS) 4.1 Consider a collection of N non-interacting atoms with a single excited state at energy E. Assume the atoms obey Maxwell-Boltzmann statistics, and take both the ground state and the excited state to be non-degenerate. (a) Determine the ratio of the number of atoms in the excited state to the number in the ground state, at temperature T. (6) (b) Show that the average energy of an atom in this system is Em/KT (4) (c) Determine the heat capacity C, of this system. (5) The density of copper is 8.94 g/cm³, and its molar mass is 63.54 g/mole. Assuming that there is only one free electron per each copper atom (a) Compute the Fermi energy Ep = (22/3 2m for copper at absolute zero of temperature. (7) (b) Find the average energy of the valence (3) electrons.