A copper block ( ) at is dropped into of water at contained in a aluminum calorimeter ( )

PHYSICS · Single correct · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

A 0.10 kg0.10\,\text{kg} copper block (c=390 J kg−1 ⁣K−1c = 390\,\text{J\,kg}^{-1}\!\text{K}^{-1}) at 450 K450\,\text{K} is dropped into 0.20 kg0.20\,\text{kg} of water at 300 K300\,\text{K} contained in a 0.05 kg0.05\,\text{kg} aluminum calorimeter (c=900 J kg−1 ⁣K−1c = 900\,\text{J\,kg}^{-1}\!\text{K}^{-1}). The system is well insulated from the surroundings. After equilibrium is reached, the entire block–water–calorimeter system is quickly transferred (with no energy loss) into 0.50 kg0.50\,\text{kg} of oil at 310 K310\,\text{K} in a second perfectly insulated vessel. The specific heat of the oil is 2000 J kg−1 ⁣K−12000\,\text{J\,kg}^{-1}\!\text{K}^{-1}. What is the final common temperature of all components? (a) 310 K310\,\text{K} (b) 312 K312\,\text{K} (c) 308 K308\,\text{K} (d) 307 K307\,\text{K}

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