An insulated calorimeter contains of water at

PHYSICS · Multi-part · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

An insulated calorimeter contains

0.300\,\text{kg}

of water at

25^{\circ}\text{C}

. A

0.200\,\text{kg}

cylinder of aluminum, initially at

150^{\circ}\text{C}

, is carefully submerged in the water without splashing. The specific heat of aluminum is

900\,\text{J}\,\text{kg}^{-1}\,\text{K}^{-1}

, and the specific heat of water is

4.18\times10^{3}\,\text{J}\,\text{kg}^{-1}\,\text{K}^{-1}

. Assume the calorimeter itself absorbs no significant energy and that no energy escapes to the surroundings. (1) Calculate the final equilibrium temperature of the water–aluminum system. Show all steps in your calculation and state your final answer with an appropriate number of significant figures and units. (2) Indicate which substance undergoes cooling and which undergoes warming during the process. Justify your answer based on the initial and final temperatures you obtained.

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