1. A Carnot heat engine absorbs heat at a rate of 10 kJ/s from a source at 500°C and rejects the waste heat to the environment at 25°C. It is proposed that the heat engine will be used to drive a Carnot refrigerator that removes heat from the cooled space at -10°C and rejects it to the same environment at 25°C. i. Determine the minimum rate of heat removal from the cooled space.

1. A Carnot heat engine absorbs heat at a rate of 10 kJ/s from a source at 500°C and rejects the waste heat to the environment at 25°C. It is proposed that the heat engine will be used to drive a Carnot refrigerator that removes heat from the cooled space at -10°C and rejects it to the same environment at 25°C. i. Determine the minimum rate of heat removal from the cooled space.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter1: Basic Modes Of Heat Transfer

Section: Chapter Questions

Problem 1.75P: Referring to Problem 1.74, how many kilograms of ice can a 3-ton refrigeration unit produce in a...

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Referring to Problem 1.74, how many kilograms of ice can a 3-ton refrigeration unit produce in a 24-h period? The heat of fusion of water is 330 kJ/kg.
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.
A heat engine is operating on a Carnot cycle and has a thermal efficiency of 55 percent. The waste heat from this engine is rejected to a nearby lake at 60°C at a rate of 900 kJ/min. Determine the temperature of the source.
A refrigerator is used to keep the cold space at 5 °C by rejecting 8 kJ/s of heat by the condenser tothe outdoor air at 25 °C. If the compressor consumes 3 kJ/s of power, determinei. the rate of heat removed from the cold space (kJ/s),ii. the COP of the refrigeratoriii. the minimum power input to the compressor for the same rate of heat removed (kJ/s), andiv. draw the schematic of the refrigerator as a reversed heat engine.
A reversibly operating heat engine operates between two reservoirs with temperatures between 600 ℃ and 40 ℃, and the heat energy supplied to the heat engine from the 600 ℃ reservoir is 2000 kJ. This heat engine operates a refrigerator that operates reversibly between two reservoirs with temperatures between 40°C and -20°C. Since the net work output of the whole system is 360 kJ; (a) Calculate the net amount of heat transferred to the refrigerator and the reservoir at 40℃. (The reservoir at 40℃ is common for both refrigerator and heat machine.) (b) What would happen if the heat engine and refrigerator were working at 40% efficiency rather than reversibly? Recalculate part (a) for this case.
It is claimed that a certain cyclical heat engine operates between the temperatures of TH = 448°C and TC = 155°C and performs W = 3.98 MJ of work on a heat input of QH = 4.97 MJ. a. How much heat, in megajoules, would be discharged into the low-temperature reservoir? b. Which choice, by itself, is unreasonable about the claim? 1. The efficiency is greater than the Carnot efficiency for the stated temperatures 2. The work performed is less than the heat input. 3. The temperature difference is greater than 273.15 K. 4. All of these. 5. None of these
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.
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 ?
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.
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.
A Carnot heat engine receives heat from a reservoir at 900°C at a rate of 800 kJ/min and rejects the waste heat to the ambient air at 27°C. The entire work output of the heat engine is used to drive a refrigerator that removes heat from the refrigerated space at –5°C and transfers it to the same ambient air at 27°C. Determine the maximum rate of heat removal from the refrigerated space.
Using the concepts in Energy Flow Diagram of a Refrigerator under Cyclic Process answer the set of problems below: