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There is a positive correlation between the ability to conduct thermal energy and what other energy, as exemplified by metals?

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electricity

Your feet feel cold as you walk barefoot across the living room carpet in your cold house and then step onto the kitchen tile floor. This result is intriguing, since the carpet and tile floor are both at the same temperature. The different sensation you feel is explained by the different rates of heat transfer: the heat loss during the same time interval is greater for skin in contact with the tiles than with the carpet, so the temperature drop is greater on the tiles. Some materials conduct thermal energy faster than others. In general, good conductors of electricity  metals like copper, aluminum, gold, and silver  are also good heat conductors, whereas insulators of electricity  wood, plastic, and rubber  are poor.

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