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QUESTION

Total differentials Given that d6 = -$dT+VdP derive the expression: _ dP d_P , dGV(E)TdV+[V(dT)V S]dT G = Gibb's free energy 3 = entropy V:

I am having issues finding the derivation of the given equation to match that of the final derivation given. I know we need to do partial derivations, but I am lost as to how to begin and end.  We need to start with the general definition of dG with respect to T and V. Then, differentiate the first given equation for dG with respect to T and V. Essentially, we need to differentiate to solve for (dG/dT)subV and (dG/dV)subT.

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