Calculate the height that water will rise in a capil- lary of diameter 0.05 mm. Assume that the contact angle between the water and the tube is zero. The surface tension of water at experimental conditions is o = 7.73 × 10 ²N/m, and the local accelaration of gravity is g = 9.7 m/s². %3D FIG. 1. Capillary rise The Helmholtz free energy of a liquid column that rises, due to surface tension, inside 'a capillary tube (Figure 1), as a function of the height, h, is given by: pgrr²h? F(h) = 2πστh cos θ, where r is the radius of the tube, g is the local ac- celaration of gravity, o is the surface tension of the liquid, and 0 is the contact angle of the liquid in contact with the wall of the tube. (a) From this expression, obtain the value of h as a function of the other physical parameters at equilibrium. (b)

Calculate the height that water will rise in a capil- lary of diameter 0.05 mm. Assume that the contact angle between the water and the tube is zero. The surface tension of water at experimental conditions is o = 7.73 × 10 ²N/m, and the local accelaration of gravity is g = 9.7 m/s². %3D FIG. 1. Capillary rise The Helmholtz free energy of a liquid column that rises, due to surface tension, inside 'a capillary tube (Figure 1), as a function of the height, h, is given by: pgrr²h? F(h) = 2πστh cos θ, where r is the radius of the tube, g is the local ac- celaration of gravity, o is the surface tension of the liquid, and 0 is the contact angle of the liquid in contact with the wall of the tube. (a) From this expression, obtain the value of h as a function of the other physical parameters at equilibrium. (b)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

Calculate the height that water will rise in a capil-
lary of diameter 0.05 mm. Assume that the contact
angle between the water and the tube is zero. The
surface tension of water at experimental conditions
is o = 7.73 × 10 ²N/m, and the local accelaration
of gravity is g = 9.7 m/s².
%3D
FIG. 1. Capillary rise

The Helmholtz free energy of a liquid
column that rises, due to surface tension, inside
'a capillary tube (Figure 1), as a function of the
height, h, is given by:
pgrr²h?
F(h) =
2πστh cos θ,
where r is the radius of the tube, g is the local ac-
celaration of gravity, o is the surface tension of the
liquid, and 0 is the contact angle of the liquid in
contact with the wall of the tube. (a) From this
expression, obtain the value of h as a function of
the other physical parameters at equilibrium. (b)

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