Surface energy per unit area =Surface tension
That's why both equations are shown
I will theoritically explain relation b/w surface energy and surface tension
Surface energy and surface tension are two interconnected concepts. The molecules on the surface of a liquid are packed due to unbalanced intermolecular forces than the molecules at the center. This means there is a high energy density at the surface of a liquid.
Surface energy can be defined as the energy difference between the bulk of the material and the surface of the material. Surface energy is defined as the surface energy per unit surface area. The surface energy per unit area is identical to the surface tension measured. The units of surface energy are Jm
. When the surface energy is provided by an external source, the liquid is said to be bubbling.
Surface Tension vs Surface Energy