A heat engine operates between two reservoirs at 800 and 20°C. One-third of the work output of the heat engine is used to drive a Carnot heat pump that removes heat from the cold surroundings at 2°C and transfers it to a house maintained at 22°C. If the house is losing heat at a rate of 62 000 J determine work W, and the add heat supply to the heat engine required to keep the house at 22°C.

A heat engine operates between two reservoirs at 800 and 20°C. One-third of the work output of the heat engine is used to drive a Carnot heat pump that removes heat from the cold surroundings at 2°C and transfers it to a house maintained at 22°C. If the house is losing heat at a rate of 62 000 J determine work W, and the add heat supply to the heat engine required to keep the house at 22°C.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

A Carnot heat pump is to be used to heat a house and maintain it at 25°C in winter. On a day when the average outdoor temperature remains at about 2°C, the house is estimatedto lose heat at a rate of 55 000 kJ/h. If the heat pump consumes 4.8 kW of power while operating, determine: (a). how long the heat pump ran on that day(b). The total heating costs, assuming an average price of R 2.35/kWh for electricity, and(c). The heating cost for the same day if resistance heating is used instead of a heat pump.
A Carnot heat engine receives heat from a reservoir at 900⁰C at a rate of 700 kJ/min and rejects the waste heat to the ambient air at 27⁰C. The entire work output of the heat engine is used to drive a refrigerator that removes heat from the refrigerated space at -5⁰C and transfers it to the same ambient air at 27⁰C. Determine a) the maximum rate of heat removal from the refrigerated space and a) the total rate of heat rejection to the ambient air. Pls include illustration of cycle.
A CARNOT heat engine receives heat from a reservoir at 900°C at a rate of 800kJ/min and rejects the waste heat to the ambient air at 27°C. All the power produced by the thermal engine is used to act as a refrigerator that removes heat from the refrigerated space at -5°C and transfers it to the same ambient air at 27°C. Determine a) the maximum rate of heat removal from the refrigerated space and b) the total rate of heat rejection to the ambient air.
A Carnot heat pump is to be used to heat a house and maintain it at 25°C in winter. On a day when the average outdoor temperature remains at about 2°C, the house is estimated to lose heat at a rate of 55,000 kJ/h. If the heat pump consumes 4.8 kW of power while operating, determine the total heating costs, assuming an average price of $0.11/kWh for electricity.
A refrigerator that has a power (electric) input of 450W and a COP of 2.5 is to cool five large watermelons,10 kg each, to 8°C. If the watermelons are initially at 20°C, determine how long it will take for therefrigerator to cool them. The watermelons can be treated as water whose specific heat is 4.2 kJ/kgK.
A Carnot heat pump to heat a house in the winter and keep the interior temperature of the house at 25 ° C. is used. The heat losses of the house in a day when the outdoor temperature is 2 ° C are approximately 55000 kJ / hour. determined. If the heat pump is drawing 6.6 kW of power from the grid while it is running a) How many hours the heat pump has been running on the specified day (outdoor temperature is 2oC) b) By accepting that the electricity price is 0.085 dollars / kWh c) Calculate the cost of heating the same day if a direct electric heater was used.
A heat engine is operating on a Carnot cycle and has a thermal efficiency of 55 percent. Thewaste heat from this engine is rejected to a nearby lake at 60°F at a rate of 800 Btu/min.Determine (a) the power output of the engine, in Hp and (b) the temperature of the heatsource.
A Carnot heat pump maintains a home at 23 C during the cold season. At an average of -2C outside temperature, the house loses heat at a rate of 60,000 kJ/h. If this heat pump consumes 6 kW of power during operation, calculate (a) how ling the heat pump an on that day; (b) the total heating costs, assuming an average price of P12.67/kWh for electricity.
A heat engine operates between two reservoirs at 800 and 20oC. Onehalf of the work output of the heat engine is used to drive a Carnot heatpump that removes heat from the cold surrounding at 2oC and transfersit to a house maintained at 22oC.If the house is losing heat at a rate of 62,000 kJ/h,Determine:a) The minimum rate of heat supply (kJ/h) to the heat enginerequired to keep the house at 22oC. b) The thermal efficiency of the heat engine, if the rate of heatsupply to the heat engine is 15,000 kJ/h. c) The total amount of entropy change of the surrounding by takinginto account both the heat engine and Carnot heat pump for the casesof i) and ii), respectively. d) The cyclic entropy change of the heat engine for the cases of i) andii), respectively.
A thermal machine operates between 2 tanks at 800ºC and 20ºC; half of the power produced by this machine is used to drive a fully reversible heat pump that absorbs heat from the cold environment at 2ºC and transfers it to a house that is maintained at 22ºC. If the house loses heat at a rate of 62,000 kJ/hr, determine the minimum heat flux that must be supplied to the heat engine in kJ/hr. show step by step a) 11,565.3 kJ/hra. b) 8,406.8 KJ/hra c) 3,158.5 KJ/hra d) 6,110.9 KJ/hra d) N.A.
a) A Carnot heat engine receives heat from a reservoir at 700 ° C at a rate of 600 kJ / min and rejects the waste heat to the ambient air at 25 ° C. The entire work output of the heat engine is used to drive a refrigerator that removes heat from the refrigerated space at - 6 ° C and transfers it to the same ambient air at 25 ° C. Determine (a) the maximum rate of heat removal from the refrigerated space and (b) the total rate of heat rejection to the ambient air.
Obtain a relation for the second-law efficiency of a heat engine that receives heat QH from a source at temperature TH and rejects heat QL to a sink at TL, which is higher than T0 (the temperature of the surroundings), while producing work in the amount of W.