According to Newton's Law of Cooling, if a body with temperature T, is placed in surroundings with temperature To, different from that of T,, the body will either cool or warm to temperature T(t) after t minutes, where T(t) =T, + (T, - Tole - kt. 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 Coling to find the coffee's temperature after 15 minutes. After 15 minutes the coffee will have a temperature of°F. (Round to the nearest integer)

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
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According to Newton's Law of Cooling, if a body with temperature T, is placed in surroundings with temperature To, different from that of T,, the body will either
cool or warm to temperature T(t) after t minutes, where T(t) =T, + (T, - Tole - kt.
1·
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
Coling to find the coffee's temperature after 15 minutes.
After 15 minutes the coffee will have a temperature of°F.
(Round to the nearest integer.)
Transcribed Image Text:According to Newton's Law of Cooling, if a body with temperature T, is placed in surroundings with temperature To, different from that of T,, the body will either cool or warm to temperature T(t) after t minutes, where T(t) =T, + (T, - Tole - kt. 1· 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 Coling to find the coffee's temperature after 15 minutes. After 15 minutes the coffee will have a temperature of°F. (Round to the nearest integer.)
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