question on 3u exp growth decay (1 Viewer)

[FD3S-R]

Fitzpatrick Exercise 25(e) q4

A body initially at room temperature 20 degrees, is heated so that its temperature would rise by 5degrees/min if no cooling took place. Cooling does occur in accordance with Newton's Law of Cooling and the maximum temperature the body could attain is 120 degrees. How long would it take to reach a temperature of 100degrees.

tried making my own initial value doenst work ... its something to do with max temperature

anyways please help

 

[rabdog]

I have never heard of Newton's law of cooling, what is it'?

 

[Estel]

T = 20 + 100e^(-kt)
dT/dt = -100ke^(-kt) = 5 when t = 0
etc...

 

[acmilan]

I have never heard of Newton's law of cooling, what is it'?

Its a law that describes how an object cools when placed in an environment of a constant cooler temperature