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A glass capillary tube is 0.2 mm in diameter. The surface tension is 0.0735 N/m. What is the pressure in the capillary water just under the meniscus, in kN/m²?

Answer :

The pressure in the capillary water just under the meniscus will be 1.47 × 10³ N/m².

Diameter of the glass capillary tube = 0.2 mm Surface tension = 0.0735 N/m Formula used is the Young-Laplace equation: P = 2T/r Where, P = Pressure T = Surface tension r = radius of curvature of the meniscus The radius of curvature of the meniscus can be calculated by: R = D/2where,R = radius of curvature of the meniscus D = diameter of the glass capillary tube Therefore, R = 0.2/2 mm = 0.1 mm = 0.1 × 10⁻³ m Now, P = 2 × 0.0735 / 0.1 × 10⁻³ N/m² = 1.47 × 10³ N/m²Hence, the main answer to the given problem is 1.47 × 10³ N/m².

The pressure in the capillary water just under the meniscus will be 1.47 × 10³ N/m².

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