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Advanced PhysicsQ&A LibraryProblem 1: Maxwell relationsa) Functions encountered in physics are generally well enough behaved that their mixed partialderivatives do not depend on which derivative is taken first. For instance,-P =aslvNS,NUsing the smoothness assumption, we findд гди-where eachavis taken with S fixed, eachis taken with V fixed, and N is always held fixed.From the thermodynamic identity (for U) you can evaluate the partial derivatives in parenthesesa nontrivial identity called a Maxwell relation. Go through the derivation of this relation stepby step.Derive each Maxwell relation for the thermodynamic identities discussed in the text (forU,H,F,G, not necessarily in this order), as shown below:a)lavS,Nas/y.Nb)s/ P.NN*()d) - (),c)ат/уavат/ р NYou might find the following equations helpful:dU = TdS – PdV + µdNdF = -SdT – PdV + µdNdG = -SdT + VdP + µdNdH = TdS + VdP + µdNQuestion

Asked Mar 22, 2020

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