A 99.8-g aluminum calorimeter contains 258 g of water. The aluminum and water are initially in thermal equilibrium at a temperature of 9.5°C. Two solid objects are then placed in the water. One is a 48.3-g piece of copper with a specific heat of 390 J/(kg⋅°C) and an initial temperature of 80.5°C. The other is of unknown material with a mass of 68 g and an initial temperature of 100°C. The entire system reaches thermal

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A 99.8-g aluminum calorimeter contains 258 g of water. The aluminum and water are initially in thermal equilibrium at a temperature of 9.5°C. Two solid objects are then placed in the water. One is a 48.3-g piece of copper with a specific heat of 390 J/(kg⋅°C) and an initial temperature of 80.5°C. The other is of unknown material with a mass of 68 g and an initial temperature of 100°C. The entire system reaches thermal equilibrium at a temperature of 20.2°C. The specific heats of aluminum and water are 910 J/(kg⋅°C) and 4186 J/(kg⋅°C), respectively.

 -Find the specific heat of the unknown material, in units of J/(kg⋅°C). 

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