A proposed heat engine operates between a single thermal reservoir and the…

PHYSICS · Multi-part · A Level · Physics · Engineering physics · Engineering physics

Problem

A proposed heat engine operates between a single thermal reservoir and the surroundings as follows: • It absorbs 200 J200\,\text{J} of thermal energy from a large reservoir whose temperature remains fixed at 300 K300\,\text{K}. • It delivers 200 J200\,\text{J} of mechanical work to the environment. • It exhausts no thermal energy to any other reservoir. (a) Calculate the change in entropy of the 300 K300\,\text{K} reservoir during one complete cycle of the engine. (b) State the entropy change of the working substance of the engine over one complete cycle and justify your answer briefly. (c) Determine the total entropy change of the universe (engine plus everything else) for one cycle. (d) Using your result from part (c), assess whether the proposed engine is feasible. Support your conclusion with clear reasoning based on thermodynamic principles.

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