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Physics · Ch 7 — Properties of Matter

Intermolecular forces

7.5.1

Intermolecular forces

The molecules of a liquid, unlike those of a solid, are not rigidly fixed in place -- they are free to move about relative to one another. The attractive force between LIKE molecules (molecules of the same substance) that holds a liquid together as a coherent body is called the COHESIVE FORCE; when the liquid is in contact with a solid, the attractive force between the molecules of the solid and the molecules of the liquid is called the ADHESIVE FORCE. Both of these intermolecular forces act only over a very short range -- roughly 10−910^{-9} m (10 angstrom) -- called the SPHERE OF INFLUENCE of a molecule; forces from molecules lying outside this sphere are negligible. Consider three molecules A, B, and C at different depths in a liquid. Molecule A, well inside the liquid, has its entire sphere of influence filled with other liquid molecules on every side, so the net force it experiences from all directions cancels out to zero. Molecule B, positioned so that about three-quarters of its sphere of influence lies below the liquid surface and only one-quarter lies in the air above, has more neighbouring molecules pulling it downward than upward, so it experiences a net DOWNWARD force. Molecule C, sitting exactly on the free surface (roughly half its sphere of influence in the liquid, half in the air), experiences the LARGEST net downward force of the three, because it has essentially no upward-pulling neighbours in the air above it to balance the liquid molecules pulling it down. Because EVERY molecule that lies within the surface region of the liquid experiences this same net inward/downward pull, work has to be done AGAINST this cohesive pull to bring any additional molecule up from the interior to the surface -- and this work is stored as extra potential energy in the surface molecules, meaning surface molecules have a higher potential energy than molecules in the bulk of the liquid. Since a system in stable equilibrium always seeks to MINIMIZE its potential energy, a liquid surface always tends to have the smallest possible number of molecules on it, i.e., the liquid tends to occupy the SMALLEST possible surface area for a given volume -- this tendency of a liquid surface to contract to the minimum possible area is exactly what is called SURFACE TENSION. Everyday demonstrations of surface tension include: water striders and other insects walking on top of a water surface, which behaves like a stretched, springy membrane strong enough to support their small weight; the bristles of a wet paintbrush clinging together in a single point, because the thin water film between adjacent bristles contracts to the smallest possible area, pulling every bristle in toward its neighbours; a greased steel needle floating on a water surface (causing a visible dimple) despi …

Figure 7.20Molecules at different levels of a liquid

What this figure shows. Three molecules A, B and C are marked at three different depths within a container of liquid. Molecule A lies well below the surface, entirely surrounded by other molecules within its sphere of influence in every direction, so the net force on it is zero. Molecule B lies close to the surface with about three-quarters of its sphere of influence still inside the liquid and only one-quarter in the air above, so it experiences a net downward force. Molecule C sits exactly on the free surface, with its sphere of influence split roughly half in liquid and half in air, so it too experiences a maximum net inward (downward) force -- this figure is the standard picture used to explain why surfa …

Figure 7.21Water striders walking on water

What this figure shows. A water strider (an insect with long, thin legs) is shown resting and walking on top of an undisturbed water surface without breaking through it, its legs creating small dimples in the surface rather than sinking in. This is presented as a direct everyday demonstration that the stretched, springy surface of water -- held together by surface tension -- can support a small enough weight distributed over a small enough contact area, just l …

Figure 7.22Painting brush hairs clinging together

What this figure shows. A paintbrush is shown with its bristles spread apart and separate while dry, and then shown again with its bristles pulled tightly together into a single pointed clump once the brush has been dipped in water and lifted out. The thin water film trapped between adjacent bristles contracts to the smallest possible surface area under surface tension, pulling every bristle inward against its neighbours -- a common household demonstration of a liquid film's tendency t …

Figure 7.23Floating needle

What this figure shows. A greased steel needle is shown resting on top of a water surface, causing a small visible depression or dimple in the surface around it rather than sinking, with the surface-tension forces Fs drawn along the depressed, curved surface on either side of the needle and their vertical components together shown supporting the needle's weight Fw. The figure is the free-body diagram behind the classic 'floating needle' demonstration, and the accompanying note records that adding liquid soap to the wa …

Figure 7.24Camphor boat

What this figure shows. A small plastic boat shape, tapered and smooth at the front with a notch cut into its back, carries a piece of camphor lodged in that back notch and floats on a water surface. As the camphor dissolves it locally lowers the surface tension of the water right behind the boat, creating a surface-tension difference between the front and back of the boat that drags water away from the back and propels the little boat forward -- a hands-on activity demonstrating that …