#### Gibbs Free Energy and Phase Separation: Screencast

Shows how liquid-liquid phase separation is related to the Gibbs free energy of mixing.

We suggest you list the important points in this screencast as a way to increase retention.

##### Important Equations:

\[\Delta G^{is} = RT\sum x_ilnx_i\] where \(\Delta G^{is}\) is the change in Gibbs free energy when two components are mixed to form an ideal solution

\(R\) = ideal gas constant

\(T\) = absolute temperature

\(x_i\) = mole fraction of component \(i\)

Excess Gibbs free energy \(G^E\) \[G^E = RT\sum x_iln\gamma_i\] where \(\gamma_i\) = activity coefficient for component \(i\)

Gibbs free energy of mixing \[\Delta G_{mix} = \Delta G^{is} + G^E\] where \(\Delta G_{mix}\) = Gibbs free energy of mixing (Gibbs free energy changes when two components are mixed)