1. (50 pts) Glass capillary tubes of various diameters are inserted vertically through the surface of...

 

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1. (50 pts) Glass capillary tubes of various diameters are inserted vertically through the surface of tap water at 20°C. The contact angle between the water and the glass is 11.5°. Use the surface tension value given in the textbook for pure water. Plot capillary rise h as a function of capillary tube diameter D in the range 1.0 mm <D<30.0 mm. For consistency, use a log-log plot, and plot h in meters versus D in millimeters. Comment about the shape of the curve on your log-log plot. Then, on the same plot, plot R, the radius of the capillary tube, as a function of D and compare h to R. As a "ballpark" estimate, let's assume that capillary effects are negligible when h is less than R. At what tube diameter does h = R? Is this ballpark estimate in line with the rule of thumb given in the textbook for the tube diameter beyond which capillary effects can be ignored in practice? 1. (50 pts) Glass capillary tubes of various diameters are inserted vertically through the surface of tap water at 20°C. The contact angle between the water and the glass is 11.5°. Use the surface tension value given in the textbook for pure water. Plot capillary rise h as a function of capillary tube diameter D in the range 1.0 mm <D<30.0 mm. For consistency, use a log-log plot, and plot h in meters versus D in millimeters. Comment about the shape of the curve on your log-log plot. Then, on the same plot, plot R, the radius of the capillary tube, as a function of D and compare h to R. As a "ballpark" estimate, let's assume that capillary effects are negligible when h is less than R. At what tube diameter does h = R? Is this ballpark estimate in line with the rule of thumb given in the textbook for the tube diameter beyond which capillary effects can be ignored in practice?

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