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okay so now we have an expression for how to calculate the pv work for a gas undergoing some change in its volume this expression dw is minus p external dv if we want to know more than just the infinitesimally small change in the work the differential change in the work we just integrate this process so hereamp;#39;s a more general expression for the finite amount of work for gas changing its volume from some initial volume to some final volume we just integrate p external times dv over that change in volume so letamp;#39;s take a closer look at this and see how that actually works in practice we can do this for a couple of different types of expansion in fact letamp;#39;s consider the same two expansions the reversible and irreversible expansion that we use to illustrate the idea of reversibility and irreversibility letamp;#39;s say that we have a gas that is initially letamp;#39;s say weamp;#39;ve got one mole of a gas at 273 kelvin initially at 2 atmospheres and as i e
