In the setup shown, a container is divided into eight cells and contains two molecules. In...

In the setup shown, a container is divided into eight cells and contains two molecules. Initially, both molecules are confined to the left side of the container.

(a) Determine the number of possible arrangements before and after removal of the central barrier.

(b) After the removal of the barrier, how many of the arrangements correspond to the state in which both molecules are in the left side of the container? How many correspond to the state in which both molecules are in the right side of the container? How many correspond to the state in which the molecules are in opposite sides of the container? Calculate the entropy for each state and comment on the most probable state of the system after removal of the barrier.