The inventor decides to lower the temperature of the low-temperature reservoir using a Carnot refrigerator. This refrigerator is powered by the heat engine itself, not an external source, consuming part of the work output of the heat engine. Let the high temperature reservoir be at Th, the original low temperature reservoir be at T₁, and the even-lower temperature achieved by the refrigerator be Tr a) Find the ratio of the net (available) work to the heat Qh supplied by the high-temperature reservoir. [You do not need to worry about the process of lowering part of the reservoir to Tr. Assume that this has already been done, and the Carnot refrigerator only needs to remove as much heat from the T, reservoir as the heat engine is supplying.] b) It is possible to obtain a higher net efficiency this way?

The inventor decides to lower the temperature of the low-temperature reservoir using a Carnot refrigerator. This refrigerator is powered by the heat engine itself, not an external source, consuming part of the work output of the heat engine. Let the high temperature reservoir be at Th, the original low temperature reservoir be at T₁, and the even-lower temperature achieved by the refrigerator be Tr a) Find the ratio of the net (available) work to the heat Qh supplied by the high-temperature reservoir. [You do not need to worry about the process of lowering part of the reservoir to Tr. Assume that this has already been done, and the Carnot refrigerator only needs to remove as much heat from the T, reservoir as the heat engine is supplying.] b) It is possible to obtain a higher net efficiency this way?

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

Related questions

Q: A household freezer opera a rate of 2 kW to maintain power input required to o

A: Calculated the smallest power input(KW) required to operate the freezer.

Q: A domestic food freezer maintains a temperature of -15°C. The ambient air temperature is 30°C. If…

A: Step 1: Step 2:

Q: Consider a room at 20°C that is cooled by an air conditioner with a COP of 3.2 using a power input…

A: Find the constant in the heat transfer .

Q: thermal machine operates between 2 tanks at 800ºC and 20ºC; half of the power produced by this…

Q: Find the efficiency of the Carnot heat engine operating between 427 C and 77 C.

A: Given, Temperature of source = TH = 427 oC = 700 K Temperature of sink = TL = 77 oC = 350 K…

Q: Consider three reservoirs that are TH = 473.2 K, TL = 293.2 K and TI = 277.2 K. A Carnot heat…

A: Efficiency of a Carnot engine is given by, efficiency of Carnot engine depends only on temperature…

Q: You have three devices: a Carnot heat engine, a Carnot heat pump and a Carnot refrigerator. Use a…

A: Given, Cold reservoir temperature = TC = -18 oC = 255 K Minimum hot reservoir temperature = Thmin =…

Q: A device collects energy from the sun's rays and produces a high temperature of 95 °C. A small heat…

A: Given Data TH=95°C TL=15°C=288 K

Q: A solar collector produces a maximum temperature of 98 °C using concentrated sunlight. This energy…

A: Given data:- The heat engine is a Carnot cycle A solar collector produces a maximum temperature…

Q: Consider three reservoirs that are TH = 473.2 K, TL = 293.2 K and TI = 277.2 K. A Carnot heat…

A: Since you have posted a question with multiple subparts, we will solve the first three parts (a),…

Q: Q/ Two reservoirs 727 °C and 23 °C are used to operate heat engine. 50% from the power output of…

A: Heat engine is a device that works between two thermal reservoirs and produces work by supplying…

Q: rigerator has a coefficient of performance equal to 5. If the refrigerator absorbs 120 J of thermal…

Q: A refrigerator has a coefficient of performance of 1.6. How much work in KJ must be supplied to this…

Q: The refrigerator has light bulb which uses 15 W of power and the refrigerator has a COP of 1.3, what…

A: Note - electricity Cost's unit consider in $ (since P is not defined) Givenligh bulb power Q=15W…

Q: Consider three reservoirs that are TH = 473.2 K, TL = 293.2 K and TI = 277.2 K. A Carnot heat…

Q: Between 300K and 600K is the operating temperature of a pair of heat pumps connected in series. The…

Question

The inventor
decides to lower the temperature of the low-temperature reservoir using a Carnot refrigerator.
This refrigerator is powered by the heat engine itself, not an external source, consuming part of
the work output of the heat engine. Let the high temperature reservoir be at Th, the original low
temperature reservoir be at T₁, and the even-lower temperature achieved by the refrigerator be Tr.
a) Find the ratio of the net (available) work to the heat Qh supplied by the high-temperature
reservoir. [You do not need to worry about the process of lowering part of the reservoir to Tr.
Assume that this has already been done, and the Carnot refrigerator only needs to remove as
much heat from the T, reservoir as the heat engine is supplying.]
b) It is possible to obtain a higher net efficiency this way?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Write down the given data and objective of the question.

VIEW

Step 2: Calculating the ratio of the net work to the heat supplied.

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 18 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Between 300K and 600K is the operating temperature of a pair of heat pumps connected in series. The efficiency of the second heat pump is three times that of the first. Find the input work for the first and second heat pumps if the second heat pump absorbs 20kW of heat and the heat release in the first heat pump is the same.
You are purchasing a refrigerator. You know that you want to keep your food at 1 deg C and that your house is typically at 19 deg C. What is the minimum power (kW) required to operate the refrigerator if the heat extracted is 297 kW?
A refrigerated compartment is maintained at a temperature of -5°C. Heat from the surroundings, at 25°C, leaks into the compartment at a rate of 1.2 kW. Find the compressor power required to maintain the temperature difference for the following scenarios:
The temperature inside a kitchen freezer is a constant 256 K, while the temperature of the air in the kitchen is a constant 302 K. The freezer's insulation is imperfect, and it conducts energy into its interior at a rate of 0.150 W. Assuming the freezer can be approximated as ideal (operating in a Carnot cycle), what is the average power required by the freezer's motor to maintain the constant interior temperature? W Need Help? Read It DETA LC
A heat pump is used for warming a house during winter and cooling it over summer. The temperature inside the house is set to 19o C during winter and 24o C during summer. The heat is transferred through the house walls and is estimated to be 2200 kJ/hro C. During winter, the outside temperature is 2o C. What is the maximal power required to operate the pump engine? Using the maximal power obtained for (a) to cool down the house during summer. If the house temperature should be maintained on 24o C, what will be the maximum temperature outside?
Consider the refrigerator shown in Figure. If the compressor consumes 850 W of power and the COP of the refrigerator is 2.5 determine. The mass flow rate of the refrigerant The rate of heat rejected to the kitchen air Condenser Expansion Xvalve Wn Compressor Evaporator 100 kPa 100 kPa x0.2 -26°C
An inventor comes to you saying he has invented a refrigerator that maintains a room at 20F while operating in a location at 80F with a coefficient of performance of 8.5, is this possible?