Deriving Newton's Law of Cooling: Explanation & Origins

In summary, Newton's Law of Cooling is a mathematical equation that describes the rate at which an object cools down in a surrounding temperature. It was first derived by Sir Isaac Newton in the 17th century through experiments with heated bodies and the surrounding air. The law is significant in helping us understand and predict the behavior of objects as they cool down and is commonly used in various fields such as physics, chemistry, and engineering. However, there are limitations to the law as it does not consider factors such as air flow, humidity, and radiation. It is also not applicable to objects that undergo phase changes or have varying temperatures across their surface.
  • #1
mprm86
52
0
I know what this law says, but I don´t know where does it comes from. Could somone please help me with the derivation of this law?
Thanks in advance.
 
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  • #2
It's purely a matter of experimental evidence- heat flows from a warmer body to a cooler one at a rate proportional to the difference in temperatures.
 
  • #3
OK Thanks.
 
  • #4
you may derive this law from Stefan's law of black body radiation with the approximation that the temperature difference between the body and surrounding is not much large.
 

1. What is Newton's Law of Cooling?

Newton's Law of Cooling is a mathematical equation that describes the rate at which an object cools down in a surrounding temperature. It states that the rate of change of temperature of an object is directly proportional to the difference between the object's temperature and the temperature of its surroundings.

2. How is Newton's Law of Cooling derived?

The law was first derived by Sir Isaac Newton in the 17th century through experiments with heated bodies and the surrounding air. He observed that the rate of cooling of an object is proportional to the temperature difference between the object and its surroundings.

3. What is the significance of Newton's Law of Cooling?

The law is significant because it helps us understand and predict the behavior of objects as they cool down. It is commonly used in various fields such as physics, chemistry, and engineering to analyze heat transfer and temperature changes.

4. Are there any limitations to Newton's Law of Cooling?

Yes, the law assumes that the object's cooling is solely influenced by the temperature of its surroundings. It does not take into account factors such as air flow, humidity, and radiation, which can affect the cooling rate of an object.

5. Can Newton's Law of Cooling be applied to all objects?

No, the law is only applicable to objects that have a constant temperature difference between their surface and the surrounding environment. It is not suitable for objects that undergo phase changes or have varying temperatures across their surface.

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