Assume a balloon material with a constant surface tension

Chapter 3, Problem 207HP

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QUESTION:

Problem 207HP

Assume a balloon material with a constant surface tension of s = 2 N/m. What is the work required to stretch a spherical balloon up to a radius of r = 0.5 m? Neglect any effect from atmospheric pressure.

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QUESTION:

Problem 207HP

Assume a balloon material with a constant surface tension of s = 2 N/m. What is the work required to stretch a spherical balloon up to a radius of r = 0.5 m? Neglect any effect from atmospheric pressure.

ANSWER:

Solution  207 HP

Step 1 of 2

We have to find the work required to stretch a spherical balloon up to a radius of r = 0.5 m.

The work required to stretch a spherical balloon up to a radius is given by

 

   

     

     

Where,

Surface tension = 2 N/m

change in the area in m2

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