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)

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter2: The Kinetic Theory Of Gases

Section: Chapter Questions

Problem 12CQ: Experimentally it appears that many polyatomic molecules' vibrational degrees of freedom can...

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