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 26°C is placed into a -13°C freezer. After 2 hours, the temperature of the chili is 8°C. Part A: Assuming the temperature T of the chili follows Newton's Law of Cooling, write a differential equation for T. Part B: What is the temperature of the chili after 4 hours? Part C: At what time, t, will the chili's temperature be -5°C?
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 26°C is placed into a -13°C freezer. After 2 hours, the temperature of the chili is 8°C. Part A: Assuming the temperature T of the chili follows Newton's Law of Cooling, write a differential equation for T. Part B: What is the temperature of the chili after 4 hours? Part C: At what time, t, will the chili's temperature be -5°C?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Transcribed Image Text: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 26°C is placed into a -13°C freezer. After 2 hours, the temperature of the chili is 8°C.
Part A: Assuming the temperature T of the chili follows Newton's Law of Cooling, write a differential equation for T.
Part B: What is the temperature of the chili after 4 hours?
Part C: At what time, t, will the chili's temperature be -5°C?
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