Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its temperature and that of its surroundings. Suppose that the temperature of a cup of coffee obeys Newton's law of cooling. If the coffee has a temperature of 190 degrees Fahrenheit when freshly poured, and 1.5 minutes later has cooled to 180 degrees in a room at 74 degrees, determine when the coffee reaches a temperature of 140 degrees. The coffee will reach a temperature of 140 degrees in 2.064 minutes.
Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its temperature and that of its surroundings. Suppose that the temperature of a cup of coffee obeys Newton's law of cooling. If the coffee has a temperature of 190 degrees Fahrenheit when freshly poured, and 1.5 minutes later has cooled to 180 degrees in a room at 74 degrees, determine when the coffee reaches a temperature of 140 degrees. The coffee will reach a temperature of 140 degrees in 2.064 minutes.
Chapter1: Temperature And Heat
Section: Chapter Questions
Problem 48P: A person taking a reading of the temperature in a freezer in Celsius makes two mistakes: first...
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