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Yes. But there are two different qualities of heat transfer. When you talk about the rate of heat transfer, you may be talking about the speed the pot changes temperature or how well it spreads heat.

The rate of temperature change is called thermal diffusivity. A copper pot would change temperature about 1.3X faster than an aluminum pot, and 10X faster than an iron pot.

How well it spreads the heat is called thermal conductivity. A copper pot would spread the heat about 2X better than an aluminum pot and about 8X better than an iron pot. This is assuming the thickness of each pot is the same. The ability of heat to pass through the pot, is also thermal conductivity.

For some things you'd want a pot that transfers heat evenly and quickly, copper. For other things you'd want a pot that holds the heat, iron.

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