There is a soap bubble of radius 2.4 × 10 –4 m in air cylinder which is originally at the pressure of 10 5 Nm –2 . The air in the cylinder is now compressed isothermally until the radius of the bubble is halved. Calculate now the pressure of air in the cylinder. The surface tension of the soap film is 0.08 Nm –1 .
Text Solution
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Initial pressure inside the bubble, 
When the air in the cylinder is compressed isothermally, final pressure inside the bubble
Initial volume 
Since number of moles in bubble remains same,
Final pressure outside the bubble.
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