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- Homework Statement
- For a pure Paramagnetic substance write down the differential form of first law of thermodynamics and show that C(B)-C(M)=kB^2/T^2

where C(B)=delta (Q)/delta(T) at B constant while C(M)=delta (Q)/delta (T) at M constant.

- Relevant Equations
- dU= delta (Q) + PdV

For the first part, I have expressed it in the following differential form- dU= delta (Q) + BdM

Now for the second part I am having major confusion. I know that B corresponds to P and M corresponds to V as generalised force and generalised displacement respectively for a Paramagnetic substance.

However I am unsure how to use the differential form as well as the possible equation M=nRT/B (from PV=nRT) in order to obtain the asked relationship. Would be indebted if someone would guide me or highlight my errors above, if any.

Now for the second part I am having major confusion. I know that B corresponds to P and M corresponds to V as generalised force and generalised displacement respectively for a Paramagnetic substance.

However I am unsure how to use the differential form as well as the possible equation M=nRT/B (from PV=nRT) in order to obtain the asked relationship. Would be indebted if someone would guide me or highlight my errors above, if any.