A 96.4-g aluminum calorimeter contains 260 g of water. The aluminum and water are initially in thermal equilibrium at a temperature of 10.1°C. Two solid objects are then placed in the water. One is a 51.6-g piece of copper with a specific heat of 390 J/(kg⋅°C) and an initial temperature of 80.8°C. The other is of unknown material with a mass of 70.1 g and an initial temperature of 100°C. The entire system reaches thermal equilibrium at a temperature of 19.9°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).