A 76.4 g piece of metal at 82.0°C is placed in 119 g of water at 20.0°C contained in a calorimeter. The metal and water come to the same temperature at 23.4°C. How much heat (in J) did the metal give up to the water? (Assume the specific heat of water is 4.18 J/g·°C across the temperature range.)
What is the specific heat (in J/g·°C) of the metal?