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Nutrients dissolved in water are carried to upper parts of plants by tiny tubes partlybecause of the capillary effect. determine how high the water solution will rise in atree in a 0.0026-mm-diameter tube as a result of the capillary effect. treat the solutionas water at 20◦c with a contact angle of 15◦c.

Answer :

meerkat18
The formula for the capillary rise is

h = 2λcosθ/ρgR
where
λ = 0.0728 N/m (surface tension of water)
θ = 15°
ρ = 1000 kg/m³ (density of water)
g = 9.81 m/s²
R = (0.0026 mm/2)(1m/1000 mm) = 1.3×10⁻⁶ m

h = 2(0.0728 N/m)cos15°/(1000 kg/m³)(9.81 m/s²)(1.3×10⁻⁶ m)
h = 11.03 m

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