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Okay so today I want to just know how much we know about free energy I want topee how many of you have heard this term all of you must have heard let us see what is your understanding of free energy some work okay, so that is the reason why we call it as a free energy and the Gibbs has defined it as you allied aware as G equal to H minus TS hmm this is something every one of you should know and must have gone through it where H is the enthalpy and T is the temperature and s is the entropy and this also coupled with the other equations this comes actually from the second law of thermodynamics all of you are aware of it and because the entropy concept of entropy is actually coming from the second law first law basically talks about what is first law how many of your conservation of energy is the first law okay for example equal to e plus PV this is what we Callie as a first law this is let us say one way of calling the second law if you want to see, and then we also have something called a third law of thermodynamics how many of you are aware of third law what is third law correct so entropy stands to 0 as T tends to zero this is what is third law this is what we say all right and there one point that you all have to remember whenever we say entropy which is basic the entropy is the degree of randomness in a material and this degree of randomness can come into a material because of two important factors one miscalled thermal another is calledconfigurational for example at any temperature there are vibrations inside material and these vibrations would cause some kind of randomness inside the material and that particular randomness that you see is what is referred to as thermal entropy, and we define that particular entropy in terms of how many of you know this how is entropy define yes in fact if you see the second law definition of entropy is D s equal to DH by T R we can, it also comes out as By T actually this is how this is how the first at the beginning people have defined the entropy and because we know under certain conditions under what conditions Q can be taken as the Constant pressure, so we take it as D Hand it becomes D H by T and H in principle and third P enthalpy is related to what internal Go h equal toe plus PV we have already written but how do you measure H if somebody wants to calculate the enthalpy of a material how to see from the specific heat so His nothing but integral CP DT from anywhere from zero let#39’s say to some temperature T so H is integral CP DT and basically CP is what we know is a heat capacity of a material at constant pressure and that is basically nothing but the amount of heat how does one define a heat capacity tell mecorrectyeah not hold the amount of heat that is required that it needs to raise the temperature that is how we define and once we define HSE integral CP DT automatically turns out to be because DS is D H by T, so you can see that Y s is nothing but integral CP DT by T ok, so these are the...
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