A hot pie is just taken out from an oven with a set temperature of 175°F. It is placed near a window with an ambient temperature of 20°C. After 3minutes, the temperature of the pie is 150°F, determine how long it will take the pie have a temperature of 100°F. Determine also the time when the temperature of the pie is half a degree above the ambient temperature.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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NEWTON’S LAW OF COOLING, JOINT PROPORTIONS

A topic from Differential Calculus

 

Newton's law of cooling formula

u=Ce-kt+T

 

Joint proportions formula

x/(N-x)=CeNkt 

 

Choose if the problem state Newton's law of cooling or Joint Proportions. Thankyou!

A hot pie is just taken out from an oven with a set temperature of 175°F. It is placed near a window with an
ambient temperature of 20°C. After 3minutes, the temperature of the pie is 150°F, determine how long it will
take the pie have a temperature of 100°F. Determine also the time when the temperature of the pie is half a
degree above the ambient temperature.
Transcribed Image Text:A hot pie is just taken out from an oven with a set temperature of 175°F. It is placed near a window with an ambient temperature of 20°C. After 3minutes, the temperature of the pie is 150°F, determine how long it will take the pie have a temperature of 100°F. Determine also the time when the temperature of the pie is half a degree above the ambient temperature.
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