Why thermal conductivity of water is higher than organic liquids?
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So when water gets hot, it expands and its particles are further apart and influence each other less. Thus making it a poorer conductor. I know thermal expansion is not a lot and the drop on conductivity is most probably insignificant.
On the other hand, i am suspecting the question to be based on an incorrect observation. If OP noticed that if we plot temperature against time when heating water, the graph will get less steep as time goes on (as temperature goes up). This phenomenon is due to transfer of heat by conduction is proportional to the difference in temperature. Water gets heated up slower because the difference in temperature between water and whatever is heating it becomes less, not because hot water is a poor conductor. Also the water losing heat to the surroundings is also a major factor. As the water gets hot, it starts losing heat at an increasing rate because the difference in temperature between the water and the surrounding air is greater.
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