Explore BrainMass
Share

# Newton's Law of Cooling : Average Temperature

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

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?

© BrainMass Inc. brainmass.com March 21, 2019, 11:15 am ad1c9bdddf
https://brainmass.com/math/integrals/newtons-law-cooling-average-temperature-38981

#### Solution Preview

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 ...

#### Solution Summary

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.

\$2.19