All Problems

Liquids. Capillary effects

Problem 2.168

When a vertical capillary of length ll with the sealed upper end was brought in contact with the surface of a liquid, the level of this liquid rose to the height hh. The liquid density is ρ,\rho, the inside diameter of the capillary is d,d, the contact angle is θ,\theta, the atmospheric pressure is p0.p_{0} . Find the surface tension of the liquid.

Reveal Answer
α=[ρgh+p0l/(lh)]d/4cosθ\alpha=\left[\rho g h+p_{0} l /(l-h)\right] d / 4 \cos \theta