# Newton's Law of Cooling : Average Temperature

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If a cup of coffee has temperature 95 degrees Celsius in a room where the temperature is 20 degrees Celsius, then according to Newton's Law of Cooling, the temperature of the coffee after t minutes is T(t)=20+75e^(-t/50). What is the average temperature of the coffee during the first half hour?

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Newton's Law of Cooling is applied to finding an average temperature. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.

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The final temperature of the coffee is 20 + 75 exp(-30/50) = 61.161 C

The rate of cooling is dT(t)/dt= -75/50exp(-t/50) The change in temperature of the ...

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