What is the relation between surface tension and pressure ? are they

[phymatter]

what is the relation between surface tension and pressure ? are they same dimensionally? can they be equated?

 

[Bill_K]

Pressure is Force per unit Area, while surface tension is Force per unit Length. Pressure represents a force applied perpendicular to the surface, distributed over the surface.

Surface tension is less familiar. It represents a force parallel to the surface. Imagine the surface is the surface of a stretched balloon, and cut a small slit in it. The edge of the slit must be *pulled* sideways to keep it from moving, and this force becomes greater as you make the slit longer. So it is force per unit length of the slit.