1. Two reversible cycles operate between hot and cold reservoirs at temperature TH and TC, respectively.
(a) If one is a power cycle and the other is a heat pump cycle, what is the relation between the coefficient of performance of the heat pump cycle and the thermal efficiency of the power cycle?
(b) If one is a refrigeration cycle and the other is a heat pump cycle, what is the relation between their coefficients of performance?
2. A refrigeration cycle rejects QH 5 500 Btu per cycle to a hot reservoir at TH 5 5408R, while receiving QC 5 375 Btu per cycle from a cold reservoir at temperature TC. For 10 cycles of operation, determine (a) the net work input, in Btu, and (b) the minimum theoretical temperature TC, in 8R.