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Liquids. Capillary effects

Problem 2.164

The diameter of a gas bubble formed at the bottom of a pond is d=4.0μm.d=4.0 \mu \mathrm{m} . When the bubble rises to the surface its diameter increases n=1.1n=1.1 times. Find how deep is the pond at that spot. The atmospheric pressure is standard, the gas expansion is assumed to be isothermal.

Reveal Answer
h=[p0(n8−1)+4α(n2−1)/d]/ρg=5 mh=\left[p_{0}\left(n^{8}-1\right)+4 \alpha\left(n^{2}-1\right) / d\right] / \rho g=5 \mathrm{~m}
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