Question

At 25⁰C, how high will water rise in a glass capillary tube with an inner diameter of 0.63 mm?

Short answer

At 25°C, water will rise 2.5 cm in a glass capillary tube with an inner diameter of 0.6 mm.

Step-by-step solution

Definition of surface Tension

Surface tension is the tendency of liquid surfaces at relaxation to reduce into the minimal floor location possible. Surface tensionis what lets items with a better density than water, like razor blades or bugs, to drift on a water surfacewithoutsubmerging them.

Determine the height of liquid rise

Calculate the rise of the water as shown:

\({\rm{h = }}\frac{{{\rm{2Tcos\theta }}}}{{{\rm{\rho rg}}}},\) where T is surface tension of the liquid, \({\rm{\rho }}\) is density of the liquid and \({\rm{\theta }}\) is the angle made by the water on the capillary tube.

\(\begin{aligned}{}{\rm{h = }}\frac{{{\rm{2}}\left( {{\rm{0}}{\rm{.0799\;kg/}}{{\rm{s}}^{\rm{2}}}} \right)}}{{{\rm{(0}}{\rm{.00063\;m)}}\left( {{\rm{1000\;kg/}}{{\rm{m}}^{\rm{3}}}} \right)\left( {{\rm{9}}{\rm{.8\;m/}}{{\rm{s}}^{\rm{2}}}} \right)}}\\\;\;{\rm{ = 0}}{\rm{.025\;m}}\\\;\;{\rm{ = 2}}{\rm{.5\;cm}}{\rm{.}}\end{aligned}\)

Hence, the liquid will rise to a height of \({\rm{2}}{\rm{.5\;cm}}{\rm{.}}\)