Chapter 1, Problem 1.31P

Interpretation Introduction

Interpretation:

The deviation in the height of the fluid column in the tube is to be determined.

Concept Introduction:

When a capillary tube is inserted in a pool of fluid, there is deviation in the height of the fluid in the tube.

The formula used to calculate this height ( h ) is:

  $h=\frac{2\sigma \cos \theta }{\rho gr}$ ........(1)

Here, $\sigma$ is the surface tension, $\theta$ is the contact angle, $\rho$ is the density of the liquid, g is the acceleration due to gravity, and r is the radius of the tube.

Formula that relates surface tension $\sigma$ of a hemispherical bubble and pressure difference between the interface of the surface $\Delta P$ is:

  $\Delta P=\frac{2\sigma }{r_b}$ ........(2)

Here, $r_b$ is the radius of the bubble formed.