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------------------------------------------------ Water rises in a glass capillary tube to a height of 17 cm. What is the diameter of the capillary tube?

Answer :

Final Answer:

The diameter of the capillary tube is 0.15 mm.

Explanation:

The height to which water rises in a capillary tube is given by the following equation:

h = 2σ cos θ / ρ g d

where:

h is the height of the water column (cm)

σ is the surface tension of water (N/m)

θ is the contact angle between water and the glass (°)

ρ is the density of water (kg/m³)

g is the acceleration due to gravity (m/s²)

d is the diameter of the capillary tube (m)

We are given that h = 17 cm, σ = 0.0728 N/m, θ = 0°, ρ = 1000 kg/m³, and g = 9.81 m/s².

Substituting these values into the equation, we get:

17 = 2 × 0.0728 × cos(0°) / 1000 × 9.81 × d

d = 0.15 mm

Therefore, the diameter of the capillary tube is 0.15 mm.

Learn more about capillary tube.

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