# Need help understanding this thermo. derivation

1. Apr 6, 2013

### mdawg467

Im trying to understand this concept of deriving an expression for ($\frac{\partial T}{\partial P}$)s in terms of T, V, Cp, $\alpha$, and $\kappa$T

($\frac{\partial T}{\partial P}$)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

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2. Apr 7, 2013

### qbert

There are a lot of steps in that simple looking derivation. Where are you lost?

3. Apr 7, 2013

### Philip Wood

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

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4. Apr 7, 2013

### mdawg467

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