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------------------------------------------------ The radius of the tube is 2 mm. The surface tension of water at 20°C is 0.0728 N/m. Compute the capillary height in the tube in mm.

Question

College

Answer :

CastilloManuel CastilloManuel · Answer 1 · 2025-01-22T10:45:35-05:00

The capillary height in the tube is approximately 7.4 mm. Calculate the capillary height in the tube, we can use the following equation.

h = (2 * T) / (ρ * g * r)

Where:

h is the capillary height,

T is the surface tension of water,

ρ is the density of water,

g is the acceleration due to gravity,

r is the radius of the tube.

Given:

T = 0.0728 N/m,

ρ = 1000 kg/m³ (density of water),

g = 9.8 m/s² (acceleration due to gravity),

r = 2 mm

= 0.002 m.

Let's substitute the values into the equation:

h = (2 * 0.0728) / (1000 * 9.8 * 0.002)

h ≈ 0.0074 m

To convert the result to millimeters, we multiply by 1000:

h ≈ 7.4 mm

Therefore, the capillary height in the tube is approximately 7.4 mm.

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