Question

# If the capillary rise in glass tube of 22 mm diameter is 5.6 mm when immersed...

If the capillary rise in glass tube of 22 mm diameter is 5.6 mm when immersed vertically in water the surface tension σ is 72.3 N/mm, calculate the angle of contact.

If the same tube is immersed in mercury that has 13.6 specific gravity and its surface tension σ is 510 N/mm, calculate the capillary rise in mm if the angle of contact is 136 o.

The relation between capillary rise and surface tension is given by the equation

Where h = Capillary rise

= Surface Tension

= Density of fluid

r = Radius of capillary tube

= Angle of contact

Case 1

Given :

r = 22/2 = 11 mm = 0.011 m

h = 5.6 mm = 0.0056 m

Surface tension = 72.3 N/mm = 72300 N/m and Density of water = 1000 kg/m3

Substituting in the above equation,

Solving,

Case 2

Given,

Density = 13.6*1000 = 13600 kg/m3

Surafce tension = 510 N/mm = 510000 N/m

Angle = 136o

Using the formula

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