Science Homework Help

Boltzmann Distribution Questionnaire

 

I’m working on a physics multi-part question and need an explanation to help me understand better.

A system consists of objects that can interconvert between two shapes, a square and a circle. There are spaces for 12,000 objects, but there are only 7000 objects present in the system. The system starts in a state with 3000 squares and 4000 circles, and ends with 7000 circles and no squares.

What is the entropy of the system in the initial state (as multiple of the Boltzmann constant kB )?

What is the entropy of the system in the final state(as multiple of the Boltzmann constant kB )?

Will the conversion from the initial state to the final state occur spontaneously?