Three samples— of iron at

PHYSICS · Subjective · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

Three samples—0.150 kg0.150\,\text{kg} of iron at 90 ∘C90\,^{\circ}\text{C}, 0.100 kg0.100\,\text{kg} of aluminum at 10 ∘C10\,^{\circ}\text{C}, and 0.200 kg0.200\,\text{kg} of water at 25 ∘C25\,^{\circ}\text{C}—are quickly combined in an insulated beaker. Assuming no energy is exchanged with the surroundings and no phase changes occur, calculate the final equilibrium temperature of the mixture. (Specific heats: iron 450 J kg−1 ∘C−1450\,\text{J}\,\text{kg}^{-1}\,^{\circ}\text{C}^{-1}, aluminum 900 J kg−1 ∘C−1900\,\text{J}\,\text{kg}^{-1}\,^{\circ}\text{C}^{-1}, water 4186 J kg−1 ∘C−14186\,\text{J}\,\text{kg}^{-1}\,^{\circ}\text{C}^{-1}.)

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