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Exercise · Q10

Q.Describe the anomalous expansion of water between 0 ∘C0\,^\circ\text{C} and 4 ∘C4\,^\circ\text{C}. Explain, using this property, why a pond in a cold climate freezes only at its surface while the water at the bottom remains liquid at about 4 ∘C4\,^\circ\text{C}, allowing aquatic life to survive through the winter.

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As water is cooled towards 0 ∘C0\,^\circ\text{C}, it contracts (density rises) in the usual way only down to 4 ∘C4\,^\circ\text{C}; cooling it further, from 4 ∘C4\,^\circ\text{C} to 0 ∘C0\,^\circ\text{C}, makes it expand again instead, so its density actually falls as it approaches the freezing point. Water is therefore densest at exactly 4 ∘C4\,^\circ\text{C} -- this is the anomalous expansion of water.

In a pond, as air temperature falls, the surface water cools and (while still above 4 ∘C4\,^\circ\text{C}) sinks because it is denser, mixing the pond and cooling it fairly uniformly down to 4 ∘C4\,^\circ\text{C} throughout. Once the whole pond reaches 4 ∘C4\,^\circ\text{C}, further cooling of the surface layer makes that layer less dense than the water below it, so it no longer sinks -- it stays at the top and continues cooling until it freezes into a floating ice sheet. The w …

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