A 0.50 kg block of aluminum and a 0.20 kg block of copper both start at 25 °C

PHYSICS · Single correct · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

A 0.50 kg block of aluminum and a 0.20 kg block of copper both start at 25 °C. Each block individually absorbs 1.50 kJ of energy. Immediately afterward the two blocks are placed in thermal contact inside an insulated container and allowed to reach a common final temperature with no energy lost to the surroundings. Given the specific heats • Aluminum: 900 J kg⁻¹ °C⁻¹ • Copper: 390 J kg⁻¹ °C⁻¹ Which of the following is the best estimate of the final equilibrium temperature of the two-block system? (a) 42 °C42\,\text{°C} (b) 31 °C31\,\text{°C} (c) 29 °C29\,\text{°C} (d) 37 °C37\,\text{°C}

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