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Question

A soap bubble of radius r is blown up to form a bubble of radius 2r under isothermal conditions. If σ is the surface tension of soap solution, the energy spent in doing so is


A

3πσr2

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B

6πσr2

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C

12πσr2

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D

24πσr2

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Solution

The correct option is D

24πσr2


Surface area of bubble of radius r=4πr2
Surface area of bubble of radius 2r=4π(2r)2=16πr2
Therefore, increase in surface area =16πr24πr2=12πr2
Since a bubble has two surfaces, the total increase in surface area =24πr2
Energy spent = work done =24πσr2
Hence, the correct choice is (d).


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