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What is the best coefficient of performance for a heat pump with a hot reservoir...

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What is the best coefficient of performance for a heat pump with a hot reservoir of 50C and a cold reservoir of -20C?b. How much heat transfer occurs into the warm environment if 3.6*107 J of work is put into the system?c. If the cost of this work is 25 cents per 107 J of work, what would be the cost for the heatcost for the heat in part b?d. How would this cost compare to burning natural gas directly for heat (not a heat pump) if that work cost 8 cents per 10^7 J of work?

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