Newton's Law of Cooling says that the rate at which a body cools is proportional to the difference C in temperature between the body and the environment around it. The temperature f(t) of the body at time t in hours after being introduced into an environment having constant temperature To is f(t) = To +Ce-kt, where C and k are constants. A cup of coffee with temperature 135°F is placed in a freezer with temperature 0°F. After 10 minutes, the temperature of the coffee is 60°F. Use Newton's Law of Cooling to find the coffee's temperature after 20 minutes. |°F. After 20 minutes the coffee will have a temperature of (Round to the nearest integer as needed.)

Newton's Law of Cooling says that the rate at which a body cools is proportional to the difference C in temperature between the body and the environment around it. The temperature f(t) of the body at time t in hours after being introduced into an environment having constant temperature To is f(t) = To +Ce-kt, where C and k are constants. A cup of coffee with temperature 135°F is placed in a freezer with temperature 0°F. After 10 minutes, the temperature of the coffee is 60°F. Use Newton's Law of Cooling to find the coffee's temperature after 20 minutes. |°F. After 20 minutes the coffee will have a temperature of (Round to the nearest integer as needed.)

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter19: Temperature, Thermal Expansion And Gas Laws

Section: Chapter Questions

Problem 9PQ: Object A is placed in thermal contact with a very large object B of unknown temperature. Objects A...

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