Question
What is temperature coefficient of cubical expansion? Find the volume of a cube when it is heated through θ°C.
Solution
The ratio of the increase in volume per unit original volume per unit rise in temperature is defined as the temperature coefficient of cubical expansion.
It is represented by γ.
Consider a cube of volume V0 at 0°C.
If the temperature of cube is increased by θ°C, it will expand.
The increase in the volume of cube is,
(i) proportional to the original volume
(ii) proportional to rise in temperature,
i.e.
The volume of cube at temperature is,