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fluidistic
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Homework Statement
Demonstrate that [itex]C_{Y,N}=\left ( \frac{ \partial H}{\partial T } \right ) _{Y,N}[/itex] where H is the enthalpy and Y is an intensive variable.
Homework Equations
(1) [itex]C_{Y,N}=\frac{T}{N} \left ( \frac{ \partial S}{\partial T } \right ) _{Y,N}[/itex]
(2) [itex]T= \left ( \frac{ \partial U}{\partial S } \right ) _{X,N}[/itex] where X is an extensive variable.
The Attempt at a Solution
Using (1) and (2) I reach that [itex]C_{Y,N}=T \left ( \frac{ \partial S}{\partial T } \right ) _{Y,N}+ P \left ( \frac{ \partial V}{\partial T } \right ) _{Y,N}[/itex]. I don't know how to proceed further, I'm really stuck here.
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