Three Einstein solids are allowed to interact with each othe

Three Einstein solids are allowed to interact with each other. They have N, 2N, and 3N particles respectively. In the high temperature limit an amount of energy 6*Q is given to the system. a. Estimate the total number of microstates available to the system as a whole. b. Find the most probable macrostate and its probability. c. Find the least probable macrostate and its probability.

Solution

a)Total number of microstates = N+2N+3N = 6N

b)Most stable Macrostate is 3N.
Probability = 3/6 = 1/2 =0.5 Answer

c)Least stable Macrostate is N.
Probability = 1/6 = 0.16 Answer