A small metal bar whose initial temperature was 20 degrees Celsius is dropped into a large container of boiling water. How long will it take the bar to reach 90 degrees Celsius if it is known that its temperature increases 2 degrees C in 1 second. How long will it ake the bar to reach 98 C?
Below is the answer. I hope it help. T ( t ) = C e k t + T m where Tm is the temperature of the surroundings T ( t ) = C e k t + T m T ( 0 ) = 20 T ( 1 ) = T ( 0 ) + 2 = 22 C + T m = 20 C+Tm=20 C e k + T m = 22