calculate the approximate rise of a liquid of density 10^3 kgm^-3 in a capillary tube of length 0.05m and radius 0.2 * 10^-3m. given surface tension of the liquid for the material of that capillary is 7.27*10^-2Nm^-1.
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Given info : a liquid of density 10³ kg/m³ in a capillary tube of length 0.05 m and radius 0.2 × 10¯³ m. surface tension of the liquid for the material of the capillary is 7.27 × 10¯² N/m
To find : The rise of the liquid in the capillary tube is...
solution : The formula for capillary rise is given by, h = 2S/ρrg
where S is surface tension,
ρ is density of the liquid,
r is the radius of tube and
g is acceleration due to gravity.
here, S = 7.27 × 10¯² N/m, ρ = 10³ kg/m³ , r = 0.05 m and g = 10 m/s²
so, h = (2 × 7.27 × 10¯²)/(10³ × 0.05 × 10)
= 14.54 × 10¯²/500
= 2.908 × 10¯⁴ m
= 0.2908 mm ≈ 0.3 mm
Therefore the rise of a liquid in the capillary tube is 0.3 mm(approx)
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