(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Derive the following equation

2. Relevant equations

[tex]TdS = C_{V} \left( \frac{\partial T}{\partial P} \right)_{V}dP + C_{P} \left( \frac{\partial T}{\partial V} \right)_{P}dV [/tex]

3. The attempt at a solution

[tex] dU = \delta Q - \delta W [/tex]

[tex] \delta Q = TdS [/tex] for a closed system

[tex] C_{P} = T \left( \frac{\partial S}{\partial T} \right)_{P} [/tex]

[tex] C_{V} = T \left( \frac{\partial S}{\partial T} \right)_{V} [/tex]

I am not sure where to go from here.

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# Homework Help: Thermal Physics Relation

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