An aluminum cylinder of mass is heated to and quickly submerged in of water at…

PHYSICS · Subjective · AP · Physics 2: Algebra-based · Thermodynamics · Thermodynamics

Problem

An aluminum cylinder of mass 0.050 kg0.050\,\text{kg} is heated to 120 ∘C120\,^{\circ}\text{C} and quickly submerged in 0.200 kg0.200\,\text{kg} of water at 25 ∘C25\,^{\circ}\text{C} contained in a thermally insulated cup. Assuming no energy is lost to the surroundings and no phase changes occur, determine the equilibrium temperature of the system. (Specific heats: water 4186 J kg−1 ∘C−14186\,\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}.)

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