Find thermal capacity of a Van der Waals gas

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MatinSAR said:
So for showing that ##[\frac {\partial C_V} {\partial V}]_T=0## I can use the link you've sahred ...
So do you see any other problem in my final answer?
Your argument goes like this:
  1. Assume (or prove) that ##C_V## does not depend on the volume
  2. Use the equation of state to derive the rhs of Mayer's relation
  3. Assume ##C_V=\frac32nR##
  4. Insert (3) in Mayer's relation
However step 1 was not needed.
 
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pines-demon said:
Your argument goes like this:
  1. Assume (or prove) that ##C_V## does not depend on the volume
  2. Use the equation of state to derive the rhs of Mayer's relation
  3. Assume ##C_V=\frac32nR##
  4. Insert (3) in Mayer's relation
However step 1 was not needed.
Thanks again for your time @pines-demon ...