All Problems

Liquids. Capillary effects

Problem 2.162

A vessel filled with air under pressure \(p_{0}\) contains a soap bubble of diameter \(d\). The air pressure having been reduced isothermally \(n\) -fold, the bubble diameter increased \(\eta\) -fold. Find the surface tension of the soap water solution.

Reveal Answer
α=1/8p0d(1η3/n)/(η21)\alpha=1 / 8 p_{0} d\left(1-\eta^{3} / n\right) /\left(\eta^{2}-1\right)