The air pressure inside a soap bubble of diameter 3.5 mm is 8 mm of water above the atmosphere. Calculate the surface tension of soap solution.
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Answer:
0.035N/m
Explanation:
Diameter of soap bubble (D) = 3.5mm (Given)
Height of water (H) = 8mm = 8 × 10^-3 m (Given)
Radius of soap bubble, (R) = 3.5mm/2
= 1.75mm = 1.75 × 10^-3 m
Density of water, = 1000 kg/m³
Thus, the pressure due to 8mm of column will be = 1000 × 10 × 8 × 10^-3 = 80 Pa.
The surface tension of soap solution (S) is = Pr/4
where P is the pressure at 8 mm column
Therefore, S = 80 × 1.75 × 10^-3/4
= 20 × 1.75 × 10^-3
= 35 × 10^-3
= 0.035N/m
Hence, the surface tension of soap solution is 0.035N/m
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