A heat engine operates between two reservoirs at 8000 C and 200 C. One-half of the work output of the engine is used to drive a Carnot heat pump that removes heat from the cold surroundings at 20 C and transfers heat to a house maintained at 220 C. If the house is losing heat at a rate of 62,000 kJ/h, determine the minimum rate of heat supply to the heat engine required to keep the house at 220 C

A system executes a power cycle while receiving 1000 Btu by heat transfer at a temperature of 900oR and discharging 600 Btu by heat transfer at a temperature of 540oR. There are no other heat transfers.Determine the cycle thermal efficiency.  Use the Clausius Inequality to determine σcycle, in Btu/oR. Determine if this cycle is internally reversible, irreversible, or impossible.

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.

An inventor claims to have developed a refrigerator that at steady state requires a net power input of 0.7 horsepower to remove 12,000 Btu/h of energy by heat transfer from the freezer compartment at O°F and discharge energy by heat transfer to a kitchen at 70°F. Evaluate this claim. The inventor's claim is eTextbook and Me possible impossible

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 engine operates between two reservoirs at 200°C and 20°C. One-half of the work output of the heat engine is used to drive a compressor of a refrigeration system, which is used to cool the chiller in a factory. (ii) The compressor is able to increase the temperature of the working fluid R134a from 0°C, x = 0.5 to 20°C, x = 1. Determine the COP of this refrigeration system, given mass flow rate of R-134a to be 0.01 kg/s.

A heat pump maintains a dwelling at 68°F. When operating steadily, the power input to the heat pump is 7 hp, and the heat pump receives energy by heat transfer from 55°F well water at a rate of 500 Btu/min.(a) Determine the coefficient of performance.(b) Evaluating electricity at $0.08 per kW · h, determine the cost of electricity in a month when the heat pump operates for 300 hours.

To maintain a dwelling steadily at 68°F on a day when the outside temperature is 40°F, heating must be provided at an average rate of 300 Btu/min. Determine the electrical power required, in kW, to deliver the heating using: (a) electrical-resistance heating. (b) a heat pump whose coefficient of performance is 2.5, (c) a reversible heat pump operating between hot and cold reservoirs at 68°F and 40°F, respectively.

Q) A Carnot heat engine receives heat from a reservoir at 800 °C at a rate of 12 kJ/s and rejects the waste heat to the ambient air at 27 °C. The half entire work output of the heat engine is used to drive a refrigerator that removes heat from the refrigerated space at -4°C and transfers it to the same ambient air at 27°C. Determine: (a) The maximum rate of heat removal from the refrigerated space. (b) The total rate of heat rejection to the ambient air.

A window-mounted air conditioner removes 2.1 kJ from the inside of a home using 1.75 kJ work input. What is its coefficient of performance? Note: thermodynamically, and air conditioner is the same thing as a refrigerator - it makes the inside of a container (house, refrigerator) colder.