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[Music] so we can predict whether spontaneous process is spontaneous or not at least if its happening at constant volume by looking at the change in internal energy minus t times ds so this combination of the energy and the entropy together tells us whether the process is going to be spontaneous or not spontaneous if it comes out negative equilibrium if it comes out equal to zero non-spontaneous if that quantity is positive so that quantity is important enough were going to want to give it a name so to do that we will define a new quantity so since this looks like some energy minus t times some entropy changes in the energy and changes in the entropy well start out by defining this quantity this new quantity energy minus temperature times entropy and this turns out not to be exactly the same as this criterion weve got up here but its going to be very close as well see in just a second this new quantity that weve just defined is called the helmholtz energy so we can go with the h
