The gas inside a spherical bubble expands uniformly and slowly so that its radius increases from R to 2 R . The atmospheric pressure is P 0 and surface tension is s . The work done by the gas in the process is

Question

The gas inside a spherical bubble expands uniformly and slowly so that its radius increases from R to 2 R . The atmospheric pressure is P 0 and surface tension is s . The work done by the gas in the process is, 28 π R 3 P 0 3 + 24 π s R 2, 25 π R 3 P 0 3 + 24 π s R 2, 25 π R 3 P 0 3 + 23 π s R 2 2, 23 π s R 2

MARKS App · Accepted Answer

W g a s = ∫ R 2 R P 0 + 4 s R 4 π r 2 d r = 28 π R 3 P 0 3 + 24 π R 2 s

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