Answer:
480 J/kg/°C
Step-by-step explanation:
To find the heat capacity of the metal, we must first find the heat lost by the metal, which means we must find the heat gained by the water.
Heat gained by water:
q = mCΔT
q = (0.150 kg) (4200 J/kg/°C) (20°C - 15°C)
q = 3150 J
Heat lost by metal:
q = mCΔT
-3150 J = (0.100 kg) C (15°C - 80°C)
C ≈ 480 J/kg/°C