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 185 degrees Fahrenheit when freshly poured, and 2 minutes later has cooled to 170 degrees in a room at 72 degrees, determine when the coffee reaches a temperature of 130 degrees. The coffee will reach a temperature of 130 degrees in ? 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 185 degrees Fahrenheit when freshly poured, and 2 minutes later has cooled to 170 degrees in a room at 72 degrees, determine when the coffee reaches a temperature of 130 degrees. The coffee will reach a temperature of 130 degrees in ? minutes
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter21: Heat And The First Law Of Thermodynamics
Section: Chapter Questions
Problem 71PQ
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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 185 degrees Fahrenheit when freshly poured, and 2 minutes later has cooled to 170 degrees in a room at 72 degrees, determine when the coffee reaches a temperature of 130 degrees.
The coffee will reach a temperature of 130 degrees in ? minutes
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