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Physics
Classical Physics
Thermodynamics
What factors affect the heating time of a water bottle on a radiator?
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[QUOTE="jrmichler, post: 5946290, member: 638574"] At the beginning, the radiator is putting heat into the bottom of the bottle at a rate proportional to the temperature difference between the radiator and the bottle. As the bottle heats up, the radiator puts less heat into it. If the bottle reached the temperature of the radiator, the radiator would no longer be putting heat into the bottle. At the beginning, the sides and top of the bottle are either getting heated by the room (if the water is colder than the room) or not losing any heat (if the water is the same temperature as the room). As the water heats up, the sides and top radiate and convect heat into the room. The amount of heat from the bottle into the room increases as the bottle gets warmer. As the bottle warms, the heat from the radiator into the bottle decreases, while the heat lost from the bottle increases. At some point, the heat added equals the heat lost. At that point, the bottle temperature is stable. It will be less than the radiator temperature (because heat is still going from radiator to bottle) and warmer than the room (because it is losing heat to the room). Less water in the bottle means it will increase temperature faster because the radiator is putting the same amount of heat into less water. [/QUOTE]
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Classical Physics
Thermodynamics
What factors affect the heating time of a water bottle on a radiator?
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