- 5 The Figure Shows The Macrostates Possible Of An With Assembly Equally Spaced Energy Levels All Symbols Have Their U 1 (125.03 KiB) Viewed 51 times
5. The figure shows the macrostates possible of an with assembly equally spaced energy levels. (All symbols have their usual meanings). Study the figure carefully and answer the following: (a) Show that W₂ = 135, as indicated in the diagram. (b) Show that N₁ = 1.60, as indicated in the diagram. (c) Determine N? (d) Calculate the first Wk shown in the diagram (e) Which distribution has the largest thermodynamic probability? (f) Calculate the first Nk shown in the diagramWhat does k represent? (g) What does Wk represent? (h) What does represent? (i) What does U represent? (j) What does N; represent? (k) Identify the most probable macrostate (1) What is the multiplicity of the macrostate having one particle with energy 3€, three particles with energy 1e and the remaining particles with no energy? (m) What is the total energy of the system? (n) What is the total number of macrostates in the assembly? (0) Calculate the total number of microstates in the assembly Calculate W₂ (p) (q) Calculate №₁ (r) How will you check whether the assembly obeys Maxwell- Boltzman, Bose-Einstein or Fermi-Dirac statistics? (s) If the assembly obeys Fermi-Dirac statistics, which macrostates will be forbidden? k- 1 2 Ele=6 5 3 2 1 . 3 . 4 5 . 6 . .. 7 00 ... 9 10 20 ... ... 63 135 135 180 90 270 180 100 216 135 28 11 N₁ 0.041 0.088 0.205 0.410 0.830 1.60 2.83 N = 6 U=64 2=1532 91=3