What is the diameter of a capillary tube holding methanol, if the methanol rises to the same height as water in a 1 mm diameter tube? (Take 0° for contact angles, surface tension for water ó_H2O= 0.073 N/m, and of methanol ó_methanol = 0.023 N/m. Density of water is ñ_H2O = 1000 kg/m³, and of methanol ñ_methanol = 792 kg/m³.) A)0.2 mm B)0.4 mm C)2.0 mm D)4.0 mm

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Quizplus · Accepted Answer

The capillary rise is inversely proportional to the diameter and directly proportional to the surface tension. Since methanol has a lower surface tension than water, the diameter of the tube for methanol must be smaller to achieve the same capillary rise. Calculating using the formula for capillary rise, the diameter for methanol is approximately 0.4 mm.

What Is the Diameter of a Capillary Tube Holding Methanol