This equation can be derived by first taking Legendre transforms of internal energy, then using Euler's homogenous function theorem, and then taking a differential. It can also be derived by substituting Maxwell's thermodynamic relations after taking the full differential of a certain quantity. One side of this equation is 
This equation can be derived by first taking Legendre transforms of internal energy, then using Euler's homogenous function theorem, and then taking a differential. It can also be derived by substituting Maxwell's thermodynamic relations after taking the full differential of a certain quantity. One side of this equation is written as a series of the number of components in the system and for a binary, isochoric and isothermic system, this equation reduces to a relationship between the number of moles of each component. For 10 points, identify this equation that relates the change in chemical potential to changes in pressure and temperature, named for a French physicist and chemist from Yale.
This equation can be derived by first taking Legendre transforms of internal energy, then using Euler's homogenous function theorem, and then taking a differential.
{Gibbs-Duhem} equation