ME501HW3F2011

ME501HW3F2011 - 1 ME 501 Homework #3 Due Friday, October...

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1 ME 501 Homework #3 Due Friday, October 14, 2011 Prof. Lucht (E-mail address: Lucht@purdue.edu) 1. The system shown below has available energy levels of 0, 2, 4, and 8 units. The degeneracy of each of the four levels is 4. The thermodynamic assembly has 7 particles (N = 7) and a total system energy of 16 units (E = 16). (a) For bosons, what are the available macrostates? How many microstates are associated with each of these macrostates and what is the most probable macrostate? What is the entropy of the system? For Bose-Einstein statistics, the number of microstates for a given macrostate   j N is given by: WW N g Ng mBE jBE jj ,, () ! !( )!   1 1 (b) For fermions, what are the available macrostates? How many microstates are associated with each of these macrostates and what is the most probable macrostate? What is the entropy of the system? For Fermi-Dirac statistics, the number of microstates for a given macrostate   j N is given by: g N mFD jFD j jjj !
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ME501HW3F2011 - 1 ME 501 Homework #3 Due Friday, October...

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