Answered: The turkey reaches the temperature of…

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 out of a refrigerator for a while, a turkey at room temperature (72^\circ72∘F) is placed into an oven. The oven temperature is 315^\circ315∘F. Newton's Law of Heating explains that the temperature of the turkey will increase proportionally to the difference between the temperature of the turkey and the temperature of the oven, as given by the formula below:

T=T_a+(T_0-T_a)e^{-kt}T=Ta+(T0−Ta)e−kt

T_a=Ta= the temperature surrounding the object
T_0=T0= the initial temperature of the object
t=t= the time in hours
T=T= the temperature of the object after tt hours
k=k= decay constant

The turkey reaches the temperature of 136^\circ136∘F after 2 hours. Using this information, find the value of kk, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the turkey, to the nearest degree, after 6 hours.

Enter only the final temperature into the input box.

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