Question

A capillary tube with an inside radius of 638 𝑛𝑚 can support a 100 𝑚𝑚 column of

liquid that has a density of 820 𝑘𝑔𝑚-3. The observed contact angle is 12.5°. Find

the surface tension of the liquid for ℎ = 20 𝑐𝑚

Answer 1

According to the Jurin's law

$h=\frac{2\sigma}{(\rho-\rho_0)gr}\cdot\cos\theta\to \sigma=h(\rho-\rho_0)gr/(2\cos\theta)=$

$=0.2\cdot(820-1.29)\cdot9.8\cdot638\cdot10^{-9}/(2\cdot\cos12.5°)=5.24\cdot10^{-4} \ (N/m)$ . Answer