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Solution: Refrigeration and Heat Pump Cycle ApplicationsA
Chapter 5, Problem 49P(choose chapter or problem)
A reversible power cycle and a reversible heat pump cycle operate between hot and cold reservoirs at temperature \(T_{\mathrm{H}}=1000^{\circ} \mathrm{R}\) and \(T_{\mathrm{C}}\), respectively. If the thermal efficiency of the power cycle is 60%, determine (a) \(T_{\mathrm{C}}\), in \({ }^{\circ} \mathrm{R}\), and (b) the coefficient of performance of the heat pump.
Questions & Answers
QUESTION:
A reversible power cycle and a reversible heat pump cycle operate between hot and cold reservoirs at temperature \(T_{\mathrm{H}}=1000^{\circ} \mathrm{R}\) and \(T_{\mathrm{C}}\), respectively. If the thermal efficiency of the power cycle is 60%, determine (a) \(T_{\mathrm{C}}\), in \({ }^{\circ} \mathrm{R}\), and (b) the coefficient of performance of the heat pump.
ANSWER:Part (a)
Step 1 of 3:
A reversible heat pump cycle operates between the different reservoirs. The thermal efficiency of the power cycle is given. We are going to find the cold temperature for the given hot temperature.
The temperature of the hot reservoir TH = 1000°R
The thermal efficiency η = 60% or 0.60