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(12 pts) A heat pump operating on a cyclic process receives heat from a reservoir at 500°C and rejects the waste heat at a rate of 30 kW to the ambient air at 300 K. If the work output of the engine is 45 kw, determine if the cycle is possible, and if the cycle is reversible. Explain with calculations. Show calculations using both efficiency (Method 1) and Entropy generation (Method 2) analysis.
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