Question

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}.

Answer #1

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/m^{3}

Substituting in the above equation,

Solving,

**Case 2**

Given,

Density = 13.6*1000 = 13600 kg/m^{3}

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

Angle = 136^{o}

Using the formula

A tube is placed vertically in a breaker of salt water with
specific gravity of 1.15. The inter facial tension between air and
water is 32 m N/m and contact angle degree is 30 degree.
Calculate:
1) capillary pressure in psi if tube diameter is 0.0004 cm
2) capillary rise in ft
3) radius in inches of largest pore if displacement pressure is
25 kpa.

Determine the surface tension of the fluid (N/m) given the
following information about the capillary rise. Angle relative to
capillary tube is 11 degrees, capillary rise is 29.7 mm, capillary
diameter is 0.04862 mm, fluid density is 1,053 kg/m^3.

A given liquid has a contact angle of 130° on a glass material.
A tube of the same material with a radius of 3 mm, is dipped in the
liquid. Will the surface of the liquid inside the tube be above or
below the liquid surface outside? Mathematically quantify it. What
is the physical reason of the observed behavior of the liquid?
Surface tension and density of the liquid are 0.56 N m-1 and 13.9 ×
103 kg m-3, respectively.

a) i. Explain the difference between elastic and plastic
behaviour. [2 marks] ii. Explain how stretching an object gives
rise to internal shear. [3 marks] iii. What is meant when a
material is described as having non-isotropic properties? [1
mark]
b) Water circulates throughout a house in a hot water heating
system. The water is pumped at a speed of 0.50 ms–1 through a 4.0
cm diameter pipe in the basement at a pressure of 3.0 x 105 Pa.
What...

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