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

File size:
17.8 KB
Views:
183
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.

File size:
12.2 KB
Views:
251
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.