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- A heat engine having an efficiency of 70% is used to drive a refrigerator having acoefficient of performance of 5 .The energy absorbed from low temperature reservoir by therefrigerator for each KJ of energy absorbed from high temperature source by the engine isUsing the concepts in Energy Flow Diagram of a Refrigerator under Cyclic Process answer the set of problems below:A heat engine operates on the Carnot cycle, and has a thermal efficiency of 75 percent. The waste heat from this machine is rejected to a nearby lake at 15 ° C at the rate of 14 kW. Determine the power output of the motor and the temperature of the source, in ° C.
- Prove that a refrigerator’s COP cannot exceed that of a completely reversible refrigerator that shares the same thermal energy reservoirs.An inventor claims to have devised a refrigeration cycle operating between hot and cold reservoirs at 308 K and 278 K, respectively, that removes an amount of energy QC by heat transfer from the cold reservoir that is a multiple of the net work input—that is, QC = NWcycle, where all quantities are positive. Determine the maximum theoretical value of the number N for any such cycle.A heat engine operates by receiving heat from a reservoir at 900 oC at a rate of 800 kJ/min and rejects heat at a rate of 560 kJ/min to the ambient air at 27 oC. The entire work output of the heat engine is used to drive a refrigerator that removes heat from the refrigerated space at -5 oC and rejects heat to the same ambient air at 27 oC.i) Sketch the schematic diagram of the engine-refrigerator system.ii) Determine the thermal efficiency of the heat engine, %.iii) Determine the maximum thermal efficiency of the engine if it operates on a reversible cycle, %.iv) Determine the maximum COP of the refrigerator if it operates on a reverse Carnot cycle.v) Determine the maximum rate of heat removal from the refrigerated space, kJ/s.vi) Determine the rate of heat rejection to the ambient air from the refrigerator,kJ/s.
- What is the coefficient of performance of a refrigerator that operates with Carnot efficiency between temperatures -3.00°C and +27.0°C?A heat pump designer claims to have an air-source heat pump whose coefficient of performance is 1.8 when heating a building whose interior temperature is 300 K and when the atmospheric air surrounding the building is at 260 K. Is this claim valid?Professor Modyn wants to power his refrigerator with a heat engine. A Carnot heat engine receives heat from a reservoir at 543.0 ∘C543.0 ∘C at a rate of 820 kJ/min820 kJ/min and rejects heat to the ambient air at 31.1 ∘C.31.1 ∘C. The entire work output of the heat engine is used to drive a refrigerator that removes heat from the refrigerated space at −3.23 ∘C−3.23 ∘C and transfers it to the same ambient air at 31.1 ∘C.31.1 ∘C. Note: The IUPAC sign conversion for work is used. Work into the system has a positive value. Determine the maximum rate of heat removal from the refrigerated space (kW) Determine the total rate of heat rejection to the ambient air. Heat rejection is a negative value. Account for both the heat engine and refrigerator.
- A heat pump is absorbing heat from the cold outdoors at 5 degrees celsius and supplying heat to a house at 22 degrees celsius at a rate of 18,000kJ/h. If the power consumed by the heat pump is 2.5kW, the coefficient of performance of the heat pump is?What is the highest possible theoretical efficiency of a heat engine operating with a hot reservoir of furnacegases at 2000°C when the cooling water available is at 10°C ?Calculate the thermal efficiency of a Carnot cycle heat engine operating between reservoirs at 300°C and 45°C.