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It will tend to increase, but this is not the case for all liquids.

The reason this happens is because as the liquid's molecules gain energy they exert force on their neighbouring molecules, which leads to the molecules becoming spread apart as the temperature increases. Conversely, when the molecules get colder and lose energy they exert less force on neighbouring molecules and so they get closer and the density increases.

However, in water this trend is true for all temperatures above 4oC, but not below 4oC. When water goes below 4oC the density starts to decrease. This is due the the oxygen being very electronegative, giving the water molecules a slight charge bias (the cause of effects like water tension) which makes them like little bar magnets. As the temperature drops the molecules become less able to overcome this slight charge bias, which pulls the water molecules into a shape like that of ice (which we know has a lower density than liquid water.

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