5. Two identical bodies are used as heat reservoirs for a heat engine. Their heat capacity...

 

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5. Two identical bodies are used as heat reservoirs for a heat engine. Their heat capacity at constant pressure is C, which is independent of temperature. The bodies undergo no change of phase and remain at constant pressure. Initially, their temperatures are T₁ and T2, respectively. As a result of the operation of the heat engine, the bodies will reach a common final temperature T₁. (a) What is the total amount of work done by the engine? (Determine in terms of C, T₁, T₂, and T₁f.) (b) Derive an inequality that relates T₁ to the initial temperatures T₁ and T₂. (c) What is the maximum amount of work that can be extracted from the engine? 5. Two identical bodies are used as heat reservoirs for a heat engine. Their heat capacity at constant pressure is C, which is independent of temperature. The bodies undergo no change of phase and remain at constant pressure. Initially, their temperatures are T₁ and T2, respectively. As a result of the operation of the heat engine, the bodies will reach a common final temperature T₁. (a) What is the total amount of work done by the engine? (Determine in terms of C, T₁, T₂, and T₁f.) (b) Derive an inequality that relates T₁ to the initial temperatures T₁ and T₂. (c) What is the maximum amount of work that can be extracted from the engine?

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