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Concept explainers
To find: Warming Time of a Beer Stein A beer stein has a temperature of . It is placed in a room with a constant temperature of . After 10 minutes, the temperature of the stein has risen to . What will the temperature of the stein be after 30 minutes? How long will it take the stein to reach a temperature of ?
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Answer to Problem 16AYU
Explanation of Solution
Given:
A beer stein has a temperature of . It is placed in a room with a constant temperature of . After 10 minutes, the temperature of the stein has risen to .
Calculation:
Let us consider the temperature be and the temperature after time will be
where is the surrounding temperature.
Assuming initial temperature is in the surrounding temperature of .
Assuming final temperature is after 10 minutes. Then
Taking log on both sides we get
Then after 5 minutes temperature will be
Then after 10 minutes the temperature will be
Let us consider the final temperature to be .
Then
Chapter 5 Solutions
Precalculus
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