A small metal bar, whose initial temperature was 20 degrees C is dropped into a large container of boiling water. How long will it take the bar to reach 90 degrees C if it is known that its temperature increases 2 degrees in 1 second. How long will it take the bar to reach 98 degrees C?
(the back of the book gives 82.1 seconds and 145.7 seconds)
where [tex]T_m[/tex] is the temperature of the surroundings.
The Attempt at a Solution
I'm given the points [tex]T(0)=20[/tex] and [tex]T(1)=T(0)+2=22[/tex]
The problem is that this give two equations and three unknowns:
I'm given that the water is boiling, but that only gives a minimum temperature of 100 degrees celsius.