Concept:
Physics (Mechanical Properties of Fluids) - Surface Energy.
Step 1: Analyze the forces on a molecule inside the liquid.
A molecule inside the bulk of a liquid is completely surrounded by other molecules. It experiences attractive cohesive forces from all directions, resulting in a net force of zero.
Step 2: Analyze the forces on a surface molecule.
A molecule on the surface is not surrounded by as many neighboring molecules. It experiences a net inward pull because there are no liquid molecules above it to balance the downward attractions.
Step 3: Relate work done to potential energy.
To bring a molecule from the interior to the surface, work must be done against this inward cohesive pull. This work is stored as additional potential energy in the surface molecules.
Step 4: Conclusion.
Consequently, surface molecules possess more potential energy than those in the interior.
$$
\therefore \text{The potential energy on the surface is large compared to the inside.}
$$