Answer Happy

(a) Mention the property of a statistical model of a system that can be associated with its entropy. [1] (b) Derive an expression for the entropy of a system that provides the link between statistical and classical [7] 3.2 Consider an assembly of six indistinguishable particles obeying Bose-Einstein statistics. The energy levels are equally spaced and have a degeneracy of g, = 3 each. The total energy of the system is U = 7€. (a) Construct a diagram to illustrate the possible macrostates of the system. [6] (b) Calculate the thermodynamic probability of each macrostate of the system [4] (c) Show that the total number of possible microstates is 2340. [3] (d) Find the average occupation number of each level. [4] QUESTION 4: (25 MARKS) 4.1 An experimental arrangement used for measuring the distribution of molecular speeds is shown below in the Figure 4.1. (a) Briefly explain how the apparatus operates. [4] (b) Describe the observed distribution of molecules that appear on the screen. Screen Oven Slit Figure 4.1 4.2 In a metal, the valence electrons are not very strongly bound to individual atoms, and consequently travel rather freely throughout the volume of the metal. By treating these electrons as a "gas" that obeys the Fermi-Dirac distribution, show that the mean energy of the electrons is th of the Fermi energy. [15]