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Need help understanding this thermo. derivation

  1. Apr 6, 2013 #1
    Im trying to understand this concept of deriving an expression for ([itex]\frac{\partial T}{\partial P}[/itex])s in terms of T, V, Cp, [itex]\alpha[/itex], and [itex]\kappa[/itex]T

    ([itex]\frac{\partial T}{\partial P}[/itex])s is evaluated by measuring the temperature change and the specific volume change accompanying a small pressure change in a reversible adiabatic process.

    I attached the derivation that the book does, but I cannot follow it. Any help would be greatly appreciated!

    Thanks
     

    Attached Files:

  2. jcsd
  3. Apr 7, 2013 #2
    There are a lot of steps in that simple looking derivation. Where are you lost?
     
  4. Apr 7, 2013 #3

    Philip Wood

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    Gold Member

    Don't understand the notation in your thumbnail, but append my derivation, expressed in ordinary partial derivative notation.
     

    Attached Files:

  5. Apr 7, 2013 #4
    Thanks dude, I was getting lost with the notation as well. This helps out big time.. Not sure what the book was doing lol.
     
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