1- How much heat is required to convert solid ice with a mass of 860 g at a temperature of -19.5 °C to liquid water at a temperature of 40.5 °C? The specific heat of ice is cice = 2100 J/kgK, the specific heat of water is cwater = 4186.8 J/kgK, and the heat of fusion for water is Lf = 334 kJ/kg.
2- A large steam pipe is covered with a 4.00 cm thick insulating material with a thermal conductivity of 0.30 W/(m°C). How much energy is lost every second when the temperature of the steam inside the pipe is at 285 °C and the temperature outside of the pipe is 10.0 °C? The pipe has a diameter of 3.60 m and a length of 240 m. Neglect losses through the ends of the pipe.
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