At 25 °C, how high will water rise in a glass capillary tube with an inner diameter of 0.25 mm? For water, T = 71.99 mN/m and ρ = 1.0 g/cm3. (Ans. 0.12 m)
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given T = 25°c
diameter = d = 0.25mm
for water ,
T = 71.99mN/m
ρ = 1.0g/cm³
to find = how high will water rise , i.e. h =?
solution = h = 2Tcosθ / rρg
were h = height of cappilary
Cosθ = angle
r = radius
ρ = density
g= gravitational cobnstant .
θ = 0°, so cosθ = 1.
The diameter of the tube in meters is 0.00025 m, so the radius is 0.000125 m
put the values in given formula,
=
= 0.12m
= 12 cm
so,the final answer ,the 0.12m high will water rise in a glass capillary tube.
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