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Calculate the change in the entropy of each of the systems illustrated In Figs. 11-4, 11-6, and 11-8 when a n additional energy level is available to the particles and the total energy is increased to 7 [See Problems 11- 9, 11-12, and 11-13.]
Problem 9
{a) Construct a diagram similar to Fig. 11-6, but having eight energy levels. Show the possible microstates of the system if the energy U=7 for six indistinguishable particles, obeying B-E statistics. {b) Calculate the thermodynamic probability of each microstate, and (c) show that the total number of possible microstates 0 is 2340. (d) Find the average occupation number of each level.
Problem 12
Do Problem 11-9 for six indistinguishable particles obeying F-D statistics. In this case Ω=162
Problem 9
{a) Construct a diagram similar to Fig. 11-6, but having eight energy levels. Show the possible microstates of the system if the energy U=7 for six indistinguishable particles, obeying B-E statistics. {b) Calculate the thermodynamic probability of each microstate, and (c) show that the total number of possible microstates 0 is 2340. (d) Find the average occupation number of each level.
Problem 13
Do Problem 11-9 for six distinguishable particles obeying M-B statistics. In this case
{a) Construct a diagram similar to Fig. 11-6, but having eight energy levels. Show the possible microstates of the system if the energy U=7 for six indistinguishable particles, obeying B-E statistics. {b) Calculate the thermodynamic probability of each microstate, and (c) show that the total number of possible microstates 0 is 2340. (d) Find the average occupation number of each level.
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