All Problems

Liquids. Capillary effects

Problem 2.165

\(2.165 .\) Find the difference in height of mercury columns in two communicating vertical capillaries whose diameters are \(d_{1}\) \(=0.50 \mathrm{~mm}\) and \(d_{2}=1.00 \mathrm{~mm},\) if the contact angle \(\theta=138^{\circ} .\)

Reveal Answer
Δh=4αcosθ(d2d1)/d1d2ρg=11 mm\Delta h=4 \alpha|\cos \theta|\left(d_{2}-d_{1}\right) / d_{1} d_{2} \rho g=11 \mathrm{~mm}