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.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

To 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.

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