A liquid expands on heating. Explain briefly how its density will change with rise in temperature
When a liquid is heated, its molecules gain kinetic energy and move faster, which causes them to spread out and take up more space. As a result, the volume of the liquid increases while its mass remains constant.
Density is defined as mass divided by volume. Since the mass of the liquid doesn't change, while the volume increases, this means that the density of the liquid decreases as it expands on heating.
To calculate the change in density with a rise in temperature, you would need to know the initial density of the liquid and the coefficient of volume expansion (β) of the substance, which measures how much the volume of the liquid changes per degree of temperature change. The formula to calculate the change in density is:
Δρ = ρ * β * ΔT
Where:
- Δρ is the change in density
- ρ is the initial density
- β is the coefficient of volume expansion
- ΔT is the change in temperature
By plugging in the values of the initial density, coefficient of volume expansion, and the change in temperature, you can calculate the change in density of the liquid.