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I was showing my students Newton's Law of cooling (precalc class) and one of my students pointed out that this doesn't really model the cooling of an object, he said that he had recently learned in chemistry that the temperature of the object that is cooling actually dips down below the "room temperature" and then asymptotically approaches it from below.

I admitted ignorance, its not my area but am curious to learn about this, if this is the chase. So my question: Given a cup of coffee at 110 degrees (for example) in a room at 65 degrees will the coffee ever have a temperature lower than 65 degrees.

Thanks,

Kevin

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# Newton's Law of Cooling model

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