THERMAL EXPANSION



Objects undergo changes in dimension when they are heated. This change in length or area or volume is called “Thermal Expansion”. 
WHY BODIES EXPAND ON HEATING


At a given temperature, intermolecular distances are definite. When a body is heated it’s molecules vibrate more energetically against the action of intermolecular forces and the displacement of molecules is increased. Since the average distance between the molecules increases, the dimension of the body increases. Consequently body expands. 
TYPES OF THERMAL EXPANSION


There are three types of thermal expansion: (1) Linear Expansion (2) Superficial Expansion
(3) Volumetric Expansion 
LINEAR EXPANSION


Expansion in length of solid bodies on heating is called linear expansion. 
FACTORS ON WHICH LINEAR EXPANSION DEPENDS


Consider a metallic bar of length “L_{1}” at temperature “T_{1}” k .Let the bar is heated to “T_{2}” k. 

From experiments it is observed that linear expansion depends on two factors: 1. The increase in length of a solid bar is directly proportional to its original length 

2. The increase in length is directly proportional to the change in temperature. 


Combining (1) and (2) 
……………..

OR

…………

…..

Where = Coefficient of linear expansion of solid. 
FINAL LENGTH OF BAR



From figure: 
………………..

Putting the value of L 
L_{2} = L1 + L1 T………… L_{2} = L1 (1+ T)…………… L_{2} = L1 {1+ (T2 – T1)}……

Where [T= T2 – T1]


COEFFICIENT OF LINEAR EXPANSION


It is a characteristic property of a material of solid and is defined as ” increase in length per unit original length per Kelvin rise in temperature is known as coefficient of linear expansion”. It is denoted by ““(alpha). Value of is constant for a given material but different for different materials. It is independent of mass & dimensions of body . coefficient of linear expansion depends on the nature of material. 
UNIT OF : 

