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Mastering Maxwell Relations in Thermodynamics: Derivation & Problem-Solving Tips
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[QUOTE="BobaJ, post: 6000772, member: 641703"] I'm studying Thermodynamics and I'm a little stuck at this problem. [B] 1. Homework Statement [/B] Starting with the first Maxwell relation, derive the remaining three by using only the relations: $$\left(\frac{\partial x}{\partial y}\right) _{z} \left(\frac{\partial y}{\partial z}\right) _{x} \left(\frac{\partial z}{\partial x}\right) _{y} = -1$$ and [LEFT][SIZE=4][COLOR=rgb(5, 5, 5)] $$\left(\frac{\partial x}{\partial y}\right) _{f} \left(\frac{\partial y}{\partial z}\right) _{f} \left(\frac{\partial z}{\partial x}\right) _{f} = 1$$[/COLOR][/SIZE][/LEFT] [h2]Homework Equations[/h2] The Maxwell relations are: $$\left(\frac{\partial T}{\partial V}\right) _{S} = - \left(\frac{\partial P}{\partial S}\right) _{V}$$ $$\left(\frac{\partial T}{\partial P}\right) _{S} = \left(\frac{\partial V}{\partial S}\right) _{P}$$ $$\left(\frac{\partial S}{\partial V}\right) _{T} = \left(\frac{\partial P}{\partial T}\right) _{V}$$ $$\left(\frac{\partial S}{\partial P}\right) _{T} = - \left(\frac{\partial V}{\partial T}\right) _{P}$$[h2]The Attempt at a Solution[/h2] My problem is, that I don't understand the second relation they give me to solve the problem. I'm not quite sure what would be f in this relation. I mean, in the book they define it as a function of x, y, and z, but I can't really use it. I don't know where to start. I'm sure that the problem is quite easy, but I need a little push to get started. Any help would be appreciated [/QUOTE]
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Mastering Maxwell Relations in Thermodynamics: Derivation & Problem-Solving Tips
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