Question
The density of a solid whose temperature coefficient of cubical expansion is γ is ρ0 at 0°C. What will be its density if it is heated to 6°C?
Solution
Let, the mass of the solid be m.
If V0 is the volume of solid and ρ0 is density at 0°C, then
...(1)
If we increase the temperature then the volume will increase.
Density will decrease because mass remains constant.
Let V be the volume and ρ be the density of the same mass of solid at temperature θ°C.
...(2)
From (1) and (2), we have
If γ is the temperature coefficient of volume expansion of solid then,
Thus,
If V0 is the volume of solid and ρ0 is density at 0°C, then
...(1) If we increase the temperature then the volume will increase.
Density will decrease because mass remains constant.
Let V be the volume and ρ be the density of the same mass of solid at temperature θ°C.
...(2) From (1) and (2), we have
If γ is the temperature coefficient of volume expansion of solid then,
Thus,
