High School

Explain the rise of liquid in a capillary tube based on the pressure difference.

Answer :

Capillary rise is an interesting phenomenon that occurs due to the interplay between cohesive and adhesive forces.

Adhesive and Cohesive Forces:

  • Adhesive Forces are the forces of attraction between different substances, such as a liquid and the surface of a solid.
  • Cohesive Forces are the forces that hold the molecules of a liquid together.

Interaction in a Capillary Tube:

  • The adhesive forces between the liquid and the tube's surface are stronger than the cohesive forces within the liquid when a narrow tube, or capillary, is submerged in a liquid that wets its surface, such as water in a glass tube.

Rising Liquid:

  • The adhesive forces the liquid to spread along the inner walls of the tube, pulling it upwards.
  • Surface tension, due to cohesive forces, acts to reduce the liquid's surface area but allows it to rise by forming a concave meniscus.

Balancing Forces:

  • The liquid keeps rising until the downward gravitational force acting on the liquid column equalizes the upward adhesive force.
  • At equilibrium, the pressure difference created by the capillary rise equals the hydrostatic pressure of the liquid column.

Height of Rise:

  • The height to which the liquid rises is affected by the diameter of the tube and the properties of the liquid like surface tension. A smaller tube diameter usually means a higher rise.

Role of Pressure Difference:

  • The pressure inside the liquid is lower at the meniscus than at the larger body of the liquid. This pressure difference aids the rise of the liquid in the capillary.