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Q.

The gas inside a soap bubble expands uniformly and slowly so that its radius increases from R to 2R. The atmospheric pressure is Po and surface tension is s. The work done by the gas in the process is

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a

28πR3Po3+24πsR2

b

25πR3Po3+24πsR2

c

25πR3Po3+23πsR22

d

23πsR2

answer is A.

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Detailed Solution

Wgas=∫R2R(Po+4sr)4πr2dr=28πR3Po3+24πR2s
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