All Problems

Liquids. Capillary effects

Problem 2.179

Find the free energy of the surface layer of (a) a mercury droplet of diameter \(d=1.4 \mathrm{~mm}\) (b) a soap bubble of diameter \(d=6.0 \mathrm{~mm}\) if the surface tension of the soap water solution is equal to \(\alpha=45 \mathrm{mN} / \mathrm{m}\).

Reveal Answer
 (a) F=παd2=3μJ (b) F=2παd2=10μJ . \text { (a) } F=\pi \alpha d^{2}=3 \mu \mathrm{J} \text { (b) } F=2 \pi \alpha d^{2}=10 \mu \mathrm{J} \text { . }