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heres the topic and thermodynamics that is often very misunderstood its called the free expansion and the way that works is lets say we have a big box right here with a perhaps a membrane or something dividing the box into two halves lets say that on this side we have a vacuum and on the other side we have gas at a particular pressure at some temperature and of course taking up the volume of half the box so when the membrane is burst so that now the gas can freely travel between the two halves and then of course after very short while the gas will equally fill both sides with the same amount of gas on both sides how much work is done what is the change in internal energy and so forth so what is the Delta u equal to what is of course the work done equal to and what is the heat exchange equal to and just so we are based here we have the first law of thermodynamics the change in internal energy is equal to the heat added to the gas minus the work done by the gas and of course lets n