What is the work done in blowing a soap bubble of radius r and surface tension S?

Explanation

To find the work done in blowing a soap bubble of radius \( r \) and surface tension \( S \), we can follow these steps:

### Step 1: Understand the Concept of Surface Tension
Surface tension (\( S \)) is defined as the force per unit length acting along the surface of a liquid. For a soap bubble, which has two surfaces (inside and outside), the effective surface tension is doubled.

### Step 2: Calculate the Surface Area of the Soap Bubble
The surface area (\( A \)) of a sphere (which is the shape of a soap bubble) is given by the formula:
\[
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