If a cup of coffee has temperature 97degreesC in a room where the ambient air temperature is 19degreesC, then, according to Newton's Law of Cooling, the temperature of the coffee after t minutes is T(t) = 19+78e^(-t/49). What is the average temperature of the coffee during the first 24 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
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If a cup of coffee has temperature 97degreesC in a room where the ambient air temperature is 19degreesC, then, according to Newton's Law of Cooling, the temperature of the coffee after t minutes is T(t) = 19+78e^(-t/49). What is the average temperature of the coffee during the first 24 minutes? 

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