Originally Posted by **jacs**

Hi, I have tried this many times and just can't seem to figure it out.

A body, initially at room temperature 20C, is heated so that its temperature would rise by 5C/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 120C. How long would it take to reach a temperature of 100C?

using dt/dt = -k(T - P) where T is the current temp and P is the temp of the surrounding medium.

any help wouuld be appreciated, thanks

the answer provided is 32.2 mins