Analyses

Make a "First Law" analysis of the heat transfers at the two heat exchangers and the work done on the system to verify that energy is conserved in the system. Use your data and the definitions of the COP for the refrigerator and the heat pump to verify that the experimentally determined COPs are related such that:

COPHeat Pump = (COPRefrigerator + 1)

Determine the COPs from the Pressure/Enthalpy and Temperature/Entropy diagrams for the working fluid. Compare these values with those obtained from the pragmatic definition of the COP using the electrical work done and the heat transfers at the condenser and evaporator. Discuss why these values differ. Which values are most useful in deciding if a heat pump is a good alternative to electrical resistance heating or an oil or gas furnace?

Determine the temperature dependence of the COP of each device and use this to discuss the utility of each as the temperature difference for "pumping heat" increases.

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