Answered: After sitting on a shelf for a while, a…

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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After sitting on a shelf for a while, a can of soda at a room temperature (73∘73∘F) is placed inside a refrigerator and slowly cools. The temperature of the refrigerator is 37∘37∘F. Newton's Law of Cooling explains that the temperature of the can of soda will decrease proportionally to the difference between the temperature of the can of soda and the temperature of the refrigerator, as given by the formula below:

�=��+(�0−��)�−��T=Ta+(T0−Ta)e−kt

��=Ta= the temperature surrounding the object
�0=T0= the initial temperature of the object
�=t= the time in minutes
�=T= the temperature of the object after �t minutes
�=k= decay constant

The can of soda reaches the temperature of 53∘53∘F after 30 minutes. Using this information, find the value of �k, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the can of soda, to the nearest degree, after 60 minutes.

Enter only the final temperature into the input box.

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