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Homework Statement
The Helmholtz free energy is written as:
[tex] dA=-SdT-pdV-VMdH [/tex]
when an incompressible liquid is placed in a magnetic field H. Thus, the free energy can be written as since [tex]-pdV=0[/tex]:
[tex] dA=-SdT-VMdH [/tex]
The two heat capacities can be defined as:
[tex]C_H = T (dS/dT)_H [/tex] and [tex]C_M = T (dS/dT)_M [/tex]
Where one is at constant H field and the other is at constant magnetization.
I need to find the relation for [tex] C_H - C_M [/tex]
I'm really not sure where to begin for this problem, any advice would be really helpful. Thank you.