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Air is introduced through a nozzle into a tank of water to form a stream of bubbles. If the bubbles are intended to have a diameter of 2 mm, calculate by how much the pressure of the air at the nozzle must exceed that of the surrounding water. Assume that σ = 72.7 × 10−3 N m−1. |
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Answer» Surface tension (\(\sigma\)) = 72.7 x 10-3 N/m Radius of bubble (r) = 1 Formula: \(\Delta\)p = 2\(\sigma\)/r Calculations: \(\Delta\)p = 2 x 72.7 x 10-3 / 1 = 145.4 N/m2 That is, the pressure of the air at the tip of nozzle must exceed the pressure of surrounding water by 145.4 N/m2 |
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