Water Volume Change From \(4^{\circ}C\) to \(0^{\circ}C\)
Water shows an unusual property called anomalous expansion. Unlike most substances that contract when cooled, water behaves differently in a specific temperature range.
Anomalous Expansion of Water
The maximum density of water occurs at \(4^{\circ}C\). As water is cooled below this temperature towards \(0^{\circ}C\), its density starts to decrease. This is because the molecular structure begins forming clusters similar to ice, taking up more space.
Volume Change Upon Cooling
Density is defined as mass per unit volume (\(\rho = m/V\)). Since the mass (1 kg) remains constant:
- When density (\(\rho\)) decreases, the volume (\(V\)) must increase to maintain a constant mass (\(m\)).
Therefore, when 1 kg of water is cooled from \(4^{\circ}C\) to \(0^{\circ}C\), its volume increases.
Similar Questions
Greater the value of _______ of a material, the more rapidly it will conduct heat.
Identify the material having low coefficient of volume expansion
Identify the material having high coefficient of volume expansion.
Identify the material having the lowest coefficient of linear expansion.
- The thermal coefficient of linear expansion of a material is \(\alpha\). Then the thermal coefficient of its volume expansion will be
Important Questions from Thermal expansion
Thermal expansion of solids are:
A copper rod and a steel rod are to have lengths LC and LS, such that the difference between their lengths is the same at all ambient temperatures. If the coefficients of linear expansion of copper and steels are αC and αS respectively. The lengths are related to the coefficient of linear expansion as :
How much should the temperature of a brass rod be increased so as to increase its length by 1%?
Given: for brass α = 0.00002/°CA wooden wagon wheel has an outside diameter of 3750 mm. The iron tire for this wheel is deliberately made smaller so that it can be shrunk in place to be a tight fit. If the tire's inside diameter is 3737 mm at 20°C, the temperature to which it must be heated to fit over the wheel? The coefficient of linear expansion of the steel is 1.2 × 10-5/°C.
A cylinder of cross-sectional radius 1 cm and height 4 cm is heated from 0°C to 100°C. If the coefficient of linear expansion α = 4 × 10-4/°C, what will be the increase in the volume of the cylinder?
