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Q.

The gas inside a spherical bubble expands uniformly and slowly so that its radius increases from R to 2R. Let the atmospheric pressure be p0 and surface tension be S. The work done by the gas in the process is

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a

28πp0R33+24πSR2

b

25πp0R33+24πSR2

c

25πp0R33+23πSR22

d

None of these

answer is A.

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Detailed Solution

W=∫R2R p0+4Sr4πr2dr=4πp0×7R33+(4π)(4S)×3R22
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