All Problems

Liquids. Capillary effects

Problem 2.165

2.165.2.165 . Find the difference in height of mercury columns in two communicating vertical capillaries whose diameters are d1d_{1} =0.50 mm=0.50 \mathrm{~mm} and d2=1.00 mm,d_{2}=1.00 \mathrm{~mm}, if the contact angle θ=138.\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}