Question

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.

Answer 1

Given:

Capillary rise = 29.7 mm

Diameter of capillary = 0.04862 mm

Flued density = 1053 kg/m^3

Solution:

We have to compute surface tension of given flued.

Surface tension is nothing but force per unit length.

We know force = m x a

m is mass in kg we can write above formula in terms of gravity and weight

force = m g h

here m is weight of the flued , g is gravity constant, and h is height.

Significance : we used h as a height since the force increase as the height increase. And the force is due to gravity pull so we use weight and g product to show the actual mass of the flued.

Surface tension = h gd / 4 cos q

h is height , g is gravitation constant , d is diameter. And theta is an angle relative to capillary.

Lets convert height and diameter into meter.

h = capillary rise = 29.7 E -3 m

diameter = 0.04862 E-3 m

Lets plug all the value.

Surface tenstion = 29.7 E-3 x 9.812 x 0.04862 E-2 / 4 x cos (11)

= 8.0 E-4 N/m