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

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter20: The First Law Of Thermodynamics

Section: Chapter Questions

Problem 20.8OQ: Beryllium has roughly one-half the specific heat of water (H2O). Rank the quantities of energy input...

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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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