Chapter 22, Problem 22.16E

Interpretation Introduction

Interpretation:

The reason as to why the same expression is not obtained when the Laplace-Young equation is derived in a different and incorrect way by writing the area of a sphere in terms of volume and then evaluating $\raisebox{1ex}{$\partial A$}\!\left/ \!\raisebox{-1ex}{$\partial V$}\right.$ is to be stated.

Concept introduction:

Laplace-Young equation is a fundamental equation for the behavior of an interface. This equation relates the pressure difference on either side of an interface with the surface tension and the area of the liquid changes with volume. The Laplace-Young equation is shown below.

$\left(p_{\text{I}}-p_{\text{II}}\right)=\gamma \left(\frac{\partial A}{\partial V_{\text{I}}}\right)$