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The ocean.

Here's why:

Thermal energy is a measure of heat content of a material greater in temperature than absolute zero. At absolute zero there is zero heat energy, even though the material still has a minimum energy state (non thermal energy).

From zero degrees rankine to 492 degrees rankine Ice has an internal thermal heat content of 0.47 btu/pound/degree. That is to say 1 pound of Ice at 32 degrees fahrenheit (492 R) has a heat content of 492 x 0.47 btu or 231 btu/lb.

In order to melt that pound of ice without changing the temperature requires 144 btu. Then to raise the temperature to 212 degrees (the hottest water can get without boiling at atmospheric pressure) another 180 btu are added to the water. so the highest heat content in a pound of hot water is 231 btu + 144 btu + 180 btu or 555 btu total heat content.

A cup of water weighs slightly more than 1/2 pound so the total heat content can only be slightly more than 280 btu.

A cup of cold water will have slightly more than 190 btu. 2 cups of cold water will have about 380 btu total heat content, more than 1 cup hot water. So any volume greater than two cups of cold water will necessarily have a higher heat content (total thermal energy) than any 1 cup of hot water.

**Note: generally in steam engineering the zero for determining heat energy is at 32 degrees fahrenheit, because in a steam cycle ice does not flow through the system, thus this is the minimum practical use of heat in the cycle. Therefor the 231 btu/lb , and the latent heat of fusion of 144 btu is not used in the steam tables and heat entropy charts, (temperature entropy charts do include these values) as this heat energy is unusable in the system. This does not mean it doesn't exist, only that it is practically unusable thus neglected. (if this were used as the zero energy state for your question then any volume of water at 32 degrees F would have zero heat content, thus less heat than a cup of warm water, this isn't the true case though).

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11y ago
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Wiki User

13y ago

Yes, it is fair to say that a cup of hot water contains more heat than a cup of cold water.

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10y ago

Yes. It has higher intermolecular potential energy.

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9y ago

That's going to depend on the actual temperatures.

"Cold" and "hot" is not enough data.

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14y ago

A cup of hot water.

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15y ago

yes indeed i studied this

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13y ago

hot water

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13y ago

hot water

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Anonymous

Lvl 1
3y ago

Yes

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Q: Does a cup of hot water contain more heat than a cup of cold water?
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