(Solved): 2.4 (18 points) Counting Number of Microstates [Hint: Review class notes Ch.VI Sec.B and Sec.L. We ...

2.4 (18 points) Counting Number of Microstates [Hint: Review class notes Ch.VI Sec.B and Sec.L. We considered an isolated system consisting of 3 distinguishable particles sharing 3 units (total

) of energy, with each particle having an energy spectrum of

. We listed the 10 accessible microstates in detail. We also gave the results for 6 particles sharing 6 units of energy in Ch.VI. Here, you will practice related listing of microstates and counting.] (a) [10] Consider

particles sharing a total of

of energy. (i) Count the total number of accessible microstates. (ii) As in the example in class notes, give all the distributions and the number of microstates associated with each distribution and identify the most probable distribution. (b) [8] As the total energy

increases, the number of accessible microstates also increases. (i) Count the number of accessible microstates for the macrostate specified by (i)

particles and

and (ii)

particles and