Problem

Imagine dividing a box into two equal parts, part A on the left and part B on the right. F...

Imagine dividing a box into two equal parts, part A on the left and part B on the right. Four identical gas atoms, numbered 1 through 4, are placed in the box. What are most probable and second most probable distributions (for example, 3 atoms in A, 1 atom in B) of gas atoms in the box? Calculate the entropy, S, for these two distributions. Note that the configuration with 3 atoms in A and 1 atom in B and that with 1 atom in A and three atoms in B count as different configurations.

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