I have a few questions about entropy and path Scenario I have a closed system of Ideal Gas- Volume is Fixed , Mol Vol is fixed. At room temperature the system is in thermal equilibrium with its surroundings I then cool this system removing Q . To this system I then re-add Q until it is again in thermal equilibrium at room temperature. At all points of this process within this system, all subsets of the gas have an equal distribution of energy and mass In this process have I increased the entropy of the System since the end state is equal to the beginning and Is the system in equilibrium as energy and mass cannot be dispersed further ? Is how I added the energy to the system (the path) ever relevant ?