We showed that one of the most often used forms of Fick’s Law for multi-component systems could be written as: Kinetic theory derivations of the flux equation lead to an expression for the gradient in...

We showed that one of the most often used forms of Fick’s Law for multi-component systems could be written as:

Kinetic theory derivations of the flux equation lead to an expression for the gradient in chemical potential, ∇μi , of the form:

Show that these two forms are equivalent representations for the binary case with species i and j. Remember that the chemical potential for species i is given by: