Physics

Physics

Problem

A copper block is removed from a furnace at 150 ∘C150\,^{\circ}\text{C} and immediately placed into 0.300 kg0.300\,\text{kg} of water at 25 ∘C25\,^{\circ}\text{C} in an insulated container. After stirring, the water’s temperature rises to 35 ∘C35\,^{\circ}\text{C}. Assuming 5.0%5.0\% of the thermal energy released by the copper is lost to the surroundings and no phase changes occur, determine the mass of the copper block. (Specific heats: water 4186 J kg−1 ∘C−14186\,\text{J}\,\text{kg}^{-1}\,^{\circ}\text{C}^{-1}, copper 386 J kg−1 ∘C−1386\,\text{J}\,\text{kg}^{-1}\,^{\circ}\text{C}^{-1}.)

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