- #1
Silviu
- 624
- 11
Hello! I encountered in a problem the terms heat capacity at constant volume and density (##n##) and heat capacity at constant chemical potential (##\mu##) and volume and I need to prove a relation between them. What is their definition? I thought that for the first one it would be ##C_n=\frac{\partial U}{\partial T}|_{n,V}## and for the second one ##C_\mu=\frac{\partial U}{\partial T}|_{\mu,V}## and I can take ##U## from ##U=TS+\mu N-pV## and derive each term with respect to temperature, keeping the corresponding variables fixed. Is this logic correct?