A cylindrical container made of insulation material k=0.850 W/m oC and thickness 2.0 cm has 50% of its volume filled with 35.0 oC water (density 1.0 g/cm3). The container's exterior dimensions are: diameter 60.0 cm, height 40.0 cm.
(a) What is the initial rate of heat flow to the surrounding air (50.0 oF)?
(b) How long does it take for the water in the container to drop to 30.0 oC?
(c) After 5.00 kg of -5.0 oC ice (density 0.920 g/cm3) is added to the water (30.0 oC), what would be the final temperature of the mixture?