QUESTION 1 Why water droplets and soap bubbles are spherical in shape?
How water spiders and water striders can easily walk on water surface without sinking? QUESTION 2
Despite being denser than water, how steel needle and paperclip float on water? QUESTION 3
Jumping Sheet An example of stretched elastic membrane
The property by virtue of which the free surface of a liquid behaves like a stretched elastic membrane tending to contract so as to occupy minimum surface area. Definition of Surface Tension
MATHEMATICAL DEFINITION The force acting per unit length of an imaginary line drawn on the free surface.
COHESION & ADHESION Cohesion is the force of attraction between the molecules of the same substance. Adhesion is the force of attraction between the molecules of two different substances. WATER Air BEAKER
EXAMPLES OF COHESION Fixed shape and size of solids Two liquid drops merge into one Mercury does not wets the glass EXAMPLES OF ADHESION Ink sticks to the paper Sunmica sticks to the plywood Water wets the glass
MOLECULAR RANGE Maximum distance upto which a molecule can exert a force of attraction on other molecules. For solids and liquids :
SPHERE OF INFLUENCE Imaginary sphere drawn around a molecule as centre and molecular range as a radius R
MOLECULAR BASIS OF SURFACE TENSION
PQ is the free surface of a liquid. P’Q’ is an imaginary plane at a distance equal to molecular range and parallel to free surface. The liquid enclosed between PQ and P’Q’ form a surface film. A molecule below the surface film is surrounded by similar molecules from all sides. (A & B) Therefore, the net force acting on such a molecule is zero. But a molecule within a surface film is surrounded by air molecules from above and water molecules from below. (C & D) Therefore, the net force is acting downward on such a molecule. Due to the downward force, the molecules of surface film accelerate towards bulk liquid. As a result, the density of surface film decreases, and pressure becomes negative in that region. Negative pressure develops tension force in the surface film. Due to which, free surface of liquid behaves like stretched elastic membrane and shows property of surface tension.
SURFACE ENERGY Liquid Air
The interaction of a molecule with its nearest neighbors leads to a reduction of its potential energy. A molecule at the surface region of a liquid has a smaller no of nearest neighbors. Therefore, the potential energy of surface molecules is not decreased as much as the interior molecules. Clearly, the surface molecules possess extra potential energy as compared to the molecules inside the liquid. The potential energy of surface molecules per unit area of the surface is called surface energy.
SURFACE ENERGY
Consider a liquid drop having some surface area. If we distort a liquid drop its surface area increases. This increase in surface area is caused by the rise of molecules from the interior to the surface. As these molecules reach the surface film, work has to be done against inward cohesive force. This work is stored as the potential energy of the molecules on the surface.
RELATION BETWEEN T & SE
EFFECT OF TEMPERATURE ON SURFACE TENSION Temperature Kinetic energy Intermolecular distance Intermolecular force Surface tension Increases Increases Increases Decreases Decreases Decreases Decreases Decreases Increases Increases The variation of surface tension with temperature is given by The temperature at which surface tension of liquid becomes zero is called the critical temperature of the liquid.
EFFECT OF IMPURITIES ON SURFACE TENSION Type Impurity Intermolecular Force Surface Tension Soluble Table S ugar Increases Increases Alcohol & Phenol Decreases Decreases Common Salt Increases Increases Soaps & Detergents Decreases Decreases Insoluble Oil & Grease ( ) Decreases Decreases Tar & Mercury ( ) Unaffected Unaffected Type Impurity Intermolecular Force Surface Tension Soluble Table S ugar Increases Increases Alcohol & Phenol Decreases Decreases Common Salt Increases Increases Soaps & Detergents Decreases Decreases Insoluble Decreases Decreases Unaffected Unaffected
WATER
TABLE SUGAR
ALCOHOL & PHENOL
COMMON SALT
SOAPS & DETERGENTS
REDUCTION OF SURFACE TENSION BY OIL
WETTING Wetting refers to the study of how a liquid deposited on a solid substrate spreads out. Understanding of wetting enables us to explain why liquids spread readily on some solids but not on others.
CONTACT LINE The location where the three phases (solid, liquid and air) meet.
CONTACT ANGLE The angle between tangent to the liquid-air interface at contact line and the solid-liquid interface.
YOUNG’S EQUATION
CASE-1 OF WETTING If and is acute ( ) Wetting condition ( Normal water on glass )
CASE-2 OF WETTING If and is obtuse ( ) Non-wetting condition ( Normal water on wax )
CASE-3 OF WETTING If and Contact angle is impossible and liquid spread over the surface Perfect-wetting condition ( Distilled water on clean glass )
For given solid-liquid pair, the angle of contact is constant. The value of angle of contact depends upon nature of liquid and solid in contact. It depends upon the medium which exists above the free surface of liquid. The angle of contact changes due to impurity. The angle of contact changes with temperature. Characteristics of Contact Angle
APPLICATIONS OF WETTING
APPLICATIONS OF WETTING
APPLICATIONS OF WETTING
APPLICATIONS OF WETTING
APPLICATIONS OF WETTING
EXCESS PRESSURE INSIDE LIQUID DROP
EXCESS PRESSURE INSIDE LIQUID DROP
EXCESS PRESSURE INSIDE SOAP BUBBLE
PRESSURE ACROSS FREE SURFACE The pressure on concave side is greater than pressure on convex side.
PRESSURE ACROSS SURFACE
Capillarity is the tendency of a liquid to flow in narrow spaces as a result of interfacial tensions. CAPILLARITY
Water Mercury LIQUID SURFACE NEAR THE CONTACT IS CURVED ( ) ( ) ( Concave ) ( Convex )
CONCAVE SURFACE
CONVEX SURFACE
Capillary Tube A glass tube having a very fine bore
RISE & FALL OF LIQUID IN A CAPILLARY TUBE Water Mercury
REASON FOR CAPILLARY ACTION . . . . C A B D . . . . C A B D