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Question

Density of water is

This question was previously asked in
NDA I 2016 GAT Previous Year Paper (17-Apr-2016)
The correct answer is

Maximum at 4°C

Understanding the Density of Water

The density of a substance is defined as its mass per unit volume. For most substances, density decreases as temperature increases because the volume expands while the mass remains constant. However, water exhibits an unusual behavior known as the anomalous expansion of water.

Anomalous Expansion of Water

Unlike most liquids, when water is heated from \(0^\circ\text{C}\) to \(4^\circ\text{C}\), it contracts instead of expanding. Its volume decreases, and therefore its density increases. At \(4^\circ\text{C}\), water has its minimum volume and thus its maximum density.

When heated above \(4^\circ\text{C}\), water behaves normally; it expands, and its density decreases as the temperature rises.

Analyzing the Options

  • Maximum at \(10^\circ\text{C}\): Above \(4^\circ\text{C}\), water's density decreases with increasing temperature. So, density at \(10^\circ\text{C}\) is less than that at \(4^\circ\text{C}\). This option is incorrect.
  • Minimum at \(0^\circ\text{C}\): As water freezes at \(0^\circ\text{C}\) or is just above freezing, its density is less than that at \(4^\circ\text{C}\). In fact, the density decreases as it cools from \(4^\circ\text{C}\) to \(0^\circ\text{C}\). So, it's not the minimum density point (ice is less dense than liquid water at \(0^\circ\text{C}\), and water at \(0^\circ\text{C}\) is less dense than at \(4^\circ\text{C}\)). This option is incorrect.
  • Maximum at \(4^\circ\text{C}\): As explained by the anomalous expansion, water's density increases from \(0^\circ\text{C}\) to \(4^\circ\text{C}\), reaching its peak density at \(4^\circ\text{C}\). This option is correct.
  • Minimum at \(-4^\circ\text{C}\): At \(-4^\circ\text{C}\), water would be in solid form (ice). Ice is significantly less dense than liquid water at \(4^\circ\text{C}\). This option is incorrect.

Density of Water vs. Temperature

Here's a simplified look at how the density of water changes with temperature:

Temperature (\(^\circ\text{C}\)) Approximate Density (\(\text{kg/m}^3\))
0 (Solid - Ice) 917
0 (Liquid) 999.84
4 1000.00
10 999.70
20 998.21
100 (Liquid) 958.40
100 (Gas - Steam) ~0.59 (at 1 atm)

The table clearly shows the maximum density occurring around \(4^\circ\text{C}\).

Conclusion

Based on the unique property of water's thermal expansion, its density is maximum at \(4^\circ\text{C}\). This phenomenon is vital for aquatic life in cold climates, as the denser \(4^\circ\text{C}\) water sinks to the bottom, preventing lakes from freezing solid from the bottom up.

Revision Table: Water Density Facts

Temperature Range Density Change Property
Below \(0^\circ\text{C}\) (Ice) Low density Ice floats on water
\(0^\circ\text{C}\) to \(4^\circ\text{C}\) Increases Anomalous expansion/contraction
At \(4^\circ\text{C}\) Maximum density Peak density point
Above \(4^\circ\text{C}\) Decreases Normal thermal expansion

Additional Information: Why Anomalous Expansion Matters

The anomalous expansion of water is crucial for the environment, particularly in colder regions. Because water is densest at \(4^\circ\text{C}\), this layer of water sinks to the bottom of lakes and ponds as winter approaches. The colder, less dense water (near \(0^\circ\text{C}\)) remains at the surface, where it freezes. The layer of ice on top acts as an insulator, protecting the \(4^\circ\text{C}\) water below and allowing aquatic organisms to survive the winter. If water behaved like most liquids and was densest at its freezing point, lakes would freeze from the bottom up, which would be detrimental to aquatic ecosystems.

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