Why doesn't oil and water mix?

[JordanGo]

Homework Statement

Explain why water and oil doesn't mix at room temperature using the entropy and free energy that you found to explain.

Homework Equations

The entropy that I found is -(Kb)ln(2) and the free energy is (Kb)(T)ln(2).

The Attempt at a Solution

Can someone direct me in the right path how to go about this question. I'm thinking it might be do to endothermic and exothermic reactions but I'm not sure.

 

[HallsofIvy]

You found the entropy and free energy of what?

 

[JordanGo]

I found it for water molecules around a hydrophobic molecule when multiplicity is reduced from 6 to 3