At coffee house with constant temperature A = 90°F, I got a cup of coffee whose temperature was To = 210°F. I waited for 15 minutes, and the coffee's temperature dropped to T15 = 150°F. If I want to drink it at precisely Tx = 105°F, how much longer should I wait?

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At coffee house with constant temperature A 90°F, I got a cup of
coffee whose temperature was To = 210°F. I waited for 15 minutes, and the coffee's
temperature dropped to T15 150°F. If I want to drink it at precisely Tx = 105°F, how
much longer should I wait?
=
Transcribed Image Text:= At coffee house with constant temperature A 90°F, I got a cup of coffee whose temperature was To = 210°F. I waited for 15 minutes, and the coffee's temperature dropped to T15 150°F. If I want to drink it at precisely Tx = 105°F, how much longer should I wait? =
Expert Solution
Step 1

Given:- 

The initial temperature of the coffee is T = 210 oF = 372 K 

the time t = 15 minutes the temperature of the coffee is T15 = 150 oF = 338.7 K 

Find:- 

The time when the temperature of the coffee is Tx = 105 oF = 313.7 K

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