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# Surface tension: Angle of contact

Calculate the value of surface tension of soap solution.

Angle of contact

When the free surface of a liquid comes in contact with a solid, then the surface of the liquid becomes curved at the point of contact. Whenever the liquid surface becomes a curve, then the angle between the two medium (solid-liquid interface) comes in the picture. For an example, when a glass plate is dipped in water with sides vertical as shown in figure, we can observe that the water is drawn up to the plate. In the same manner, instead of water the glass plate is dipped in mercury, the surface is curved but now the curve is depressed as shown in Figure 7.29.

The angle between the tangent to the liquid surface at the point of contact and the solid surface inside the liquid is known as the angle of contact between the solid and the liquid. It is denoted by θ (Read it as “theta” which is Greek alphabet small letter).

Its value is different at interfaces of different pairs of solids and liquids. In fact, it is the factor which decides whether a liquid will spread on the surface of a chosen solid or it will form droplets on it.

Let us consider three interfaces such as liquid-air, solid-air and solid-liquid with reference to the point of contact ‘O’ and the interfacial surface tension forces Tsa, Tsl and Tla on the respective interfaces as shown in Figure 7.26. Since the liquid is stable under equilibrium, the surface tension forces between the three interfaces must also be in equilibrium. Therefore, From the above equation, there are three different possibilities which can be discussed as follows.

(i) If Tsa > Tsl and Tsa − Tsl > 0 (water-plastic interface) then the angle of contact θ is acute angle (θ less than 90°) as cosθ is positive.

(ii) If Tsa < Tsl and Tsa − Tsl < 0 (water-leaf interface) then the angle of contact is obtuse angle (θ less than 180°) and as cosθ is negative.

(iii) If Tsa > Tla + Tsl then there will be no equilibrium and liquid will spread over the solid.

Therefore, the concept of angle of contact between the solid-liquid interface leads to some practical applications in real life. For example, soaps and detergents are wetting agents. When they are added to an aqueous solution, they will try to minimize the angle of contact and in turn penetrate well in the cloths and remove the dirt. On the other hand, water proofing paints are coated on the outer side of the building so that it will enhance the angle of contact between the water and the painted surface during the rainfall.

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11th Physics : Properties of Matter : Surface tension: Angle of contact |

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