Question

7) The CoP, Coefficient of Performance, of a heat pump can be described as QH/Wnet. Here QH is the energy delivered as heat to the high temperature reservoir and Wnet is the net work required to be put into the device to deliver the quantity of heat. What do you think would be the CoP of a heater which produces heat bypassing current through a resistor? One kilogram of air acting as an ideal gas is operating in a cycle of three processes (the gas is a closed system). Th estates which begin and end these processes are: 1) P=5 bar and V= 1m³ and T=1742K 2) P=1 bar and V=3.16 m³ and T=1101K 3) P=1 bar and V=1m³ and T=348K Data for air acting as an ideal gas can be found here: Process 1-2 is a polytropic process with n=1.4. Processes 2-3 and 3-1 proceed along straight lines in P-V space. R=0.287 kJ/kg-K The cycle is shown on a P-V plane below. The remaining questions refer to this cycle.

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