The can of soda reaches the temperature of 50°F after 25 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.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter15: Fluids
Section: Chapter Questions
Problem 56PQ
icon
Related questions
Question
Jon 15, 2:35:12 PM
After sitting on a shelf for a while, a can of soda at a room temperature (69°F) is
placed inside a refrigerator and slowly cools. The temperature of the refrigerator is
34°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:
T = Ta + (To – Ta)e
kt
Ta =the temperature surrounding the object
To =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 50°F after 25 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.
Transcribed Image Text:Jon 15, 2:35:12 PM After sitting on a shelf for a while, a can of soda at a room temperature (69°F) is placed inside a refrigerator and slowly cools. The temperature of the refrigerator is 34°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: T = Ta + (To – Ta)e kt Ta =the temperature surrounding the object To =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 50°F after 25 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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Gibbs free Energy
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning