I E Irodov Solutions for Chapter: THERMODYNAMICS AND MOLECULAR PHYSICS, Exercise 5: LIQUIDS, CAPILLARY EFFECTS

Find the difference in height of mercury columns in two communicating vertical capillaries, whose diameters are $d_1=0.50 \mathrm{mm}$ and $d_2=1.00 \mathrm{mm}$, if the contact angle, $\mathrm{\theta }=138°$.

A vertical capillary with inside diameter $0.50 \mathrm{mm}$, is submerged into water so that, the length of its part protruding over the water surface is equal to $h=25 \mathrm{mm}.$ Find the curvature radius of the meniscus.

A glass capillary, of length, $l=110 \mathrm{mm}$ and inside diameter, $d=20 \mathrm{\mu m}$, is submerged vertically into water. The upper end of the capillary is sealed. The outside pressure is standard. To what length $x$, has the capillary to be submerged to make the water levels inside and outside the capillary coincide?

When a vertical capillary of length $l$, with the sealed upper end, was brought in contact with the surface of a liquid, the level of this liquid rose to the height $h$. The liquid density is $\rho$, the inside diameter of the capillary is $d$, the contact angle is $\mathrm{\theta }$ and the atmospheric pressure is $p_0$. Find the surface tension of the liquid.

A glass rod, of diameter $d_1=1.5 \mathrm{mm}$, is inserted symmetrically into a glass capillary, with inside diameter $d_2=2.0 \mathrm{mm}$. Then, the whole arrangement is vertically oriented and brought in contact with the surface of water. To what height will the water rise in the capillary?

Two vertical plates, submerged partially in a wetting liquid, form a wedge with a very small angle $\delta \phi$. The edge of this wedge is vertical. The density of the liquid is $\rho$, its surface tension is $\alpha$ and the contact angle is $\mathrm{\theta }$. Find the height $h$, to which the liquid rises, as a function of the distance $x$, from the edge.

A vertical water jet flows out of a round hole. One of the horizontal sections of the jet has a diameter $d=2.0 \mathrm{mm}$, while the other section, located $l=20 \mathrm{mm}$ lower, has the diameter which is $n=1.5$ times less. Find the volume of the water flowing from the hole, each second.

A water drop falls in air, with a uniform velocity. Find the difference between the curvature radii of the drop's surface, at the upper and lower points of the drop, separated by the distance, $h=2.3 \mathrm{mm}$.