When a liquid is placed in a tube with a small inside diameter, the surface tens

Question

When a liquid is placed in a tube with a small inside diameter, the surface tension in the liquid will cause the liquid to rise in the tube. The height (H) to which it will rise:

H=4Dg

Here, is the surface tension, the fluid density, D the tube inner diameter, and g the acceleration of gravity. Mercury has a surface tension of 487 millinewtons per meter and a specific gravity of 13.6. How high will the liquid rise in a tube with inside diameter of 0.25 inches? Express your answer in units of centimeters.

Explanation / Answer

The height rised by the liquid in tube is calculated as follows:

H = 4Dg = 4*487x10-3*[0.25*0.0254]*[13.6]*[9.8] = 1.65 m

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