Newton's Law of Cooling states that the rate of change of the temperature of an object,...

 

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Newton's Law of Cooling states that the rate of change of the temperature of an object, T, is proportional to the difference of T and the temperature of its surrounding environment. A pot of chili with temperature 26C is placed into a -13C freezer. After 2 hours, the temperature of the chili is 8C. Part A: Assuming the temperature T of the chili follows Newton's Law of Cooling, write a differential equation for T. (10 points) Part B: What is the temperature of the chili after 4 hours? (20 points) Part C: At what time, t, will the chili's temperature be -5C? (10 points) Newton's Law of Cooling states that the rate of change of the temperature of an object, T, is proportional to the difference of T and the temperature of its surrounding environment. A pot of chili with temperature 26C is placed into a -13C freezer. After 2 hours, the temperature of the chili is 8C. Part A: Assuming the temperature T of the chili follows Newton's Law of Cooling, write a differential equation for T. (10 points) Part B: What is the temperature of the chili after 4 hours? (20 points) Part C: At what time, t, will the chili's temperature be -5C? (10 points)

Answer rating: 100% (QA)

Part A Let Tt be the temperature of the chili at time t According to Newtons Law of Cooling the rate ... View the full answer