Dishwashing liquid dissolved in water forms an aqueous solution containing bubbles (the suds) that are soap-film spheres

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Dishwashing liquid dissolved in water forms an aqueous solution containing bubbles (the "suds") that are soap-film spheres filled with air. How does the pressure difference across the surface of one of these bubbles in the solution compare with the pressure difference across the surface of a bubble of the same size that escapes from the solution and floats in the air?

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