A solar-powered heat pump receives energy as heat from a solar collector at T H , rejects

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A solar-powered heat pump receives energy as heat from a solar collector at TH, rejects energy as heat to the atmosphere at TA, and pumps energy as heat from a cold space at TC. Derive an expression for the minimum ratio Q̇H/Q̇C, in terms of the three temperatures. If TH = 350 K, T= 290 K, TC = 200 K, and Q̇C = 10 kW, what is the minimum area of the collector that is required (in m2)?

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