Question

What should be the internal diameter of a glass tube if capillary rise is not exceed 2.0 mm?

Answer 1

Answer:

diameter is 14.83 mm

Explanation:

given data

height = 2 mm

to find out

internal diameter

solution

we consider here material is glass and liquid is water and angle is zero if no capillary rise

we apply here capillary rise formula that is

Capillary rise h = 2T / [ r×ρ×g ]     ....................1

put here r is radius and  ρ = 1000 kg/m³, T  = 72.7 ×$10^{-3}$ N/m all value in equation 1

Capillary rise h = 2T / [ r×ρ×g ]  

r = 2T / [ h×ρ×g ]

d/2 = 2T / [ h×ρ×g ]

d/2 = 2( 72.7 ×$10^{-3}$) / [ 2×$10^{-3}$×1000×9.8 ]

d = 0.0148336 m

so diameter is 14.83 mm