Question

Consider a system containing permanent electric dipoles Pe. The infinitesimal work done on the system in increasing an applied electric field Ee is given as dW = -VP.DE , where V is the volume of the system (assuming V keeps constant). (a) Analogy with the magnetic systems, please obtain the fundamental relation for such system of electric dipoles from the first law. (b) Use this fundamental relation to determine the infinitesimal changes of thermodynamic potentials, i.e., dE, DH, DF, and dG. (c) Derive the corresponding four Maxwell relations for this case by analogy with the magnetic systems. (d) Find the difference in heat capacities Cp. - Ce

I need help with part C, deriving maxwell's relations. I know the relation dz = Mdx + Ndy => partial(M)/partial(y) = partial(N)/partial(x). But all of the equations (dE, dF, dG, dH) I have some function for 'N' that isn't a single variable: Ex: I got dE to be dE = TdS + (munought)*HVdM

Answer 1

part B and C both are solved for your convenience.