Newton's law of cooling (and warming) states that the rate of change of temperature of an object is proportional to the temperature difference between the object and its surroundings, where T is the constant temperature of the surroundings. That is,
. Suppose an object at 3°C is placed in a room where the temperature is 25°C. If the temperature of the object is 9°C after 1 hour, how long will it take for the object to reach 14°C? Round your answer to one decimal place.
A) 2.0 hours
B) 2.2 hours
C) 2.5 hours
D) 2.7 hours
E) 3.3 hours
Correct Answer:
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