3. Expansion of Gases There are two types of coefficient of expansion in gases
( i) Volume Coefficient(& gamma; v) At constant pressure, the change in volume per unit volume per degree celsius is called volume coefficient.
where V0, V1, and V2 are volumes of the gas at 0 ° C, t1 ° C and t2 ° C.
( ii) Pressure Coefficient( γp) At constant volume, the change in pressure per unit pressure per degree celsius is called pressure coefficient.
where p0, p1 and p2 are pressure of the gas at 0 ° C, t1 ° C and t2 ° C. Practical Applications of Expansion
1. When rails are laid down on the ground, space is left between the end of two rails.
2. The transmission cables are not tightly fixed to the poles.
3. The iron rim to be put on a cart wheel is always of slightly smaller diameter than that of wheel.
4. A glass stopper jammed in the neck of a glass bottle can be taken out by warming the neck of the bottles.
Important Points
Due to increment in its time period a pendulum clock becomes slow in summer and will lose time.
Loss of time in a time period ΔT =( 1 / 2) α ΔθT ∴ Loss of time in any given time interval t can be given by ΔT =( 1 / 2) α Δθt