How do the pressure and the number of molecules inside the

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A bubble of air is suspended in clean water at ambient pressure and temperature.

a) How do the pressure and the number of molecules inside the bubble scale with the radius R of the bubble? Assume the surface tension \gamma is known and you can model the bubble/air as an ideal gas.

b) Find the minimum radius of the bubble so that the ideal gas law is valid? (hint: the volume fraction of the atoms inside the bubble has to be << 1)

c) If we add surfactant to water to lower the surface tension to 0.5* \gamma, identify the minimum radius of the bubble in part (b)

Reference no: EM13635518

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