Glass Tube
Glass Tube
What must be the radius of the glass capillary tube?
15.The surface tension of mercury at 0C is 480.3 dynes/cm while the density is 13.595 g/cc. What must be the radius of the glass capillary tube for Hg to exhibit a fall in height of 10.0 cm?
The change in height due to capillary action is:
Δh = 2·γ·cos(θ) / (ρ·g·r)
(γ surface tension, θ contact angle, ρ density, g acceleration due to gravity, r radius of capillary)
The contact angle is not given in problem. I found in wikipedia:
θ = 140° for mercury/glass
The required radius is:
r = 2·γ·cos(θ) / (ρ·g·Δh)
= 2 · 0.4803N/m · cos(140°) / ( 13595kg/m³ · 9.81m/s² · (-0.1m)
= 5.52×10-5m
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