Proving that Cp/Cv=Kt/Ks

Here is the thermodynamic proof that Cp/Cv=Kt/Ks.  It is pretty straight forward if you use the cyclic chain rule.


I hope this helps some of you. I know this is a common question that is often asked in Physical Chemistry (P-Chem). If this is helpful and you would like to see the proof for another thermodynamic identity, leave me a comment and let me know!


  1. This comment has been removed by the author.

  2. Those busy students and working professionals who want to continue their studies now they have a chance to enroll in life experience degree programs and boost their career opportunities.

  3. Can you prove Kt (cp-cv) = TV*alpha^2