#### 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)