Question: Newton's Law of Cooling states that when a hot liquid is placed in a cool room, each minute the decrease in the temperature is approximately

Newton's Law of Cooling states that when a hot liquid is placed in a cool room, each minute the decrease in the temperature is approximately proportional to the difference between the liquid's temperature and the room's temperature. That is, there is a constant k such that each minute the temperature loss is k + (liquid's temperature room's temperature). Suppose a cup of 212F coffee is placed in a 70F room and that k = .079. Determine the number of minutes required for the coffee to cool to below 150F. See Fig. 3.42. The coffee will cool to below

150 degrees in 7 minutes.

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