tea cools very easily in a metal cup
it will cool faster in a metal cup. - the others retain heat better.
Tea in a metal cup would cool down relatively quickly, since the metal cup wall conducts heat very well.
clay
That depends on what the cup is made of. If it's a metal cup, then it's an electrical conductor. If it's a glass, clay, wood, or ceramic cup, then it's an electrical insulator.
Styrofoam is indeed lightweight compared to other substances from which cups are made such as clay, metal or glass.
choices are: The cold will flow from the metal into the hot water, causing the hot water to warm up and the metal to cool down. b. The energy from the hot water will flow into the cold metal, cooling the water down and heating up the metal. c. The cold will flow from the metal into the hot water, causing the hot water to cool down and the metal to warm up. d. The metal will cool down because the specific heat of water is high.
Yes it would, the metal conducts the heat quickly
It depends on which one radiates heat fastest. Since plastics are generally poor heat conductors, you'd expect the plastic cup to cool more slowly. But a thin plasic cup, painted black, may radiate more heat than a very shiny metal cup.
A plastic cup holds more heat because plastic can't take out heat. Glass conducts heat away.
If the mug is made of glass, it will allow the water to cool faster. A thick styrofoam cup is better than a paper cup, even though the insulating properties of the materials are similar.
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Heat can easily penetrate single items. When cream is added to coffee then there is more matter to penetrate before the coffee is cooled.