A 0.820-kg piece of solid lead at 20.0°C is placed into an insulated container holding 0.980 kg of liquid lead at 420°C. The system comes to an equilibrium temperature with no loss of heat to the environment. Ignore the heat capacity of the container. The melting point of lead is 327°C and its heat of fusion is 22.9 kJ/kg and the specific heat of lead is 0.130 kJ/kg·K.
What is the final temperature of the system?