Question

The Laplace Equation (below) was derived assuming a perfectly spherical surface:

For non-spherical, general surfaces, we must instead use the Young-Laplace Equation:

Derive the Young-Laplace Equation, from first principles, for a general surface. The curvature of these surfaces can usually be described in terms of two principle radii, (R1) and (R2), which are measured in perpendicular directions along a surface.
For full credit, include the following:

- Figure,
- List of assumptions
- Step-by-step algebra, along with an explanation of each math step. Must show all steps.

Answer 1