The mass flux of a species can be written using the chemical potential as a driving force. Consider the simple case of binary diffusion in an ideal mixture of liquids. If the chemical potential is...

The mass flux of a species can be written using the chemical potential as a driving force. Consider the simple case of binary diffusion in an ideal mixture of liquids. If the chemical potential is given by:

prove that the total flux ja + jb = 0. What must hold true if the chemical potentials are given by the equation below and the sum of the fluxes is to be zero?