Calculate the capillary tube rise h in a glass tube of 3mm diameter when immersed in water at 20°C.Take surface tension of water at 20°C as 0.75 N/m. What will be the percentage increase in the value of h of the diameter of the glass tube is 2mm.
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Given: Rise in the tube = h = 7 cm = 7× 10-2 m, Surface tension = T = 70 dynes/cm = 70 × 10-3 N/m, Acceleration due to gravity = g = 9.8 m/s2, Density of water = ρ = 1 ×10³ kg/m³, Angle of contact = θ = 0°
To Find: Radius of the tube = r =?
Solution:
The rise in the tube is given by
Capillary Action 01
∴ r = (2 × 70 × 10-3 × cos 0°) / (7× 10-2 × 1 ×10³ × 9.8)
∴ r = 2 × 10-4 m = 0.2 × 10-3 m = 0.2 mm
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