The coefficient of performance of refrigerator from second law of thermodynamics .

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Answer 1

Question

Chapter 22, Problem 1OQ

To determine

The coefficient of performance of refrigerator from second law of thermodynamics.

Expert Solution & Answer

Answer to Problem 1OQ

Option (d), finite.

Explanation of Solution

Second law of thermodynamics states that external work is necessary to pump heat from lower temperature to higher temperature. A refrigerator takes energy from cold reservoir and expels at hot reservoir. Refrigerator has to do work to convert heat from cold reservoir to hot reservoir. Coefficient of performance is the ratio of heat extracted from cold reservoir to work done on the refrigerant.

The maximum efficiency of a refrigerator is possible if it is working in Carnot cycle. The expression for efficiency is TcTh−Tc, where Tc is the temperature of cold reservoir and Th is the temperature of cold reservoir. For a refrigerator hot reservoir is the environment. The difference cannot exceed a particular limit. Temperature difference will be finite always. This causes efficiency to remain in a finite value.

Conclusion:

Therefore, according to second law of thermodynamics the coefficient of performance of a refrigerator must be finite. Thus, option (d) is correct.

Since coefficient of performance of refrigerator can be greater than 1, option (a) is incorrect.

Since coefficient of performance of refrigerator can be greater than 1, option (b) is incorrect.

Since coefficient of performance of refrigerator can be greater than or less than 1, option (c) is correct.

Since coefficient of performance of refrigerator can be zero, option (e) is incorrect.

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Answer 2

Question

Chapter 22, Problem 1OQ

To determine

The coefficient of performance of refrigerator from second law of thermodynamics.

Expert Solution & Answer

Answer to Problem 1OQ

Option (d), finite.

Explanation of Solution

Second law of thermodynamics states that external work is necessary to pump heat from lower temperature to higher temperature. A refrigerator takes energy from cold reservoir and expels at hot reservoir. Refrigerator has to do work to convert heat from cold reservoir to hot reservoir. Coefficient of performance is the ratio of heat extracted from cold reservoir to work done on the refrigerant.

The maximum efficiency of a refrigerator is possible if it is working in Carnot cycle. The expression for efficiency is TcTh−Tc, where Tc is the temperature of cold reservoir and Th is the temperature of cold reservoir. For a refrigerator hot reservoir is the environment. The difference cannot exceed a particular limit. Temperature difference will be finite always. This causes efficiency to remain in a finite value.

Conclusion:

Therefore, according to second law of thermodynamics the coefficient of performance of a refrigerator must be finite. Thus, option (d) is correct.

Since coefficient of performance of refrigerator can be greater than 1, option (a) is incorrect.

Since coefficient of performance of refrigerator can be greater than 1, option (b) is incorrect.

Since coefficient of performance of refrigerator can be greater than or less than 1, option (c) is correct.

Since coefficient of performance of refrigerator can be zero, option (e) is incorrect.

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Answer 3

Question

Chapter 22, Problem 1OQ

To determine

The coefficient of performance of refrigerator from second law of thermodynamics.

Expert Solution & Answer

Answer to Problem 1OQ

Option (d), finite.

Explanation of Solution

Second law of thermodynamics states that external work is necessary to pump heat from lower temperature to higher temperature. A refrigerator takes energy from cold reservoir and expels at hot reservoir. Refrigerator has to do work to convert heat from cold reservoir to hot reservoir. Coefficient of performance is the ratio of heat extracted from cold reservoir to work done on the refrigerant.

The maximum efficiency of a refrigerator is possible if it is working in Carnot cycle. The expression for efficiency is TcTh−Tc, where Tc is the temperature of cold reservoir and Th is the temperature of cold reservoir. For a refrigerator hot reservoir is the environment. The difference cannot exceed a particular limit. Temperature difference will be finite always. This causes efficiency to remain in a finite value.

Conclusion:

Therefore, according to second law of thermodynamics the coefficient of performance of a refrigerator must be finite. Thus, option (d) is correct.

Since coefficient of performance of refrigerator can be greater than 1, option (a) is incorrect.

Since coefficient of performance of refrigerator can be greater than 1, option (b) is incorrect.

Since coefficient of performance of refrigerator can be greater than or less than 1, option (c) is correct.

Since coefficient of performance of refrigerator can be zero, option (e) is incorrect.

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Answer 4

Question

Chapter 22, Problem 1OQ

To determine

The coefficient of performance of refrigerator from second law of thermodynamics.

Expert Solution & Answer

Answer to Problem 1OQ

Option (d), finite.

Explanation of Solution

Second law of thermodynamics states that external work is necessary to pump heat from lower temperature to higher temperature. A refrigerator takes energy from cold reservoir and expels at hot reservoir. Refrigerator has to do work to convert heat from cold reservoir to hot reservoir. Coefficient of performance is the ratio of heat extracted from cold reservoir to work done on the refrigerant.

The maximum efficiency of a refrigerator is possible if it is working in Carnot cycle. The expression for efficiency is TcTh−Tc, where Tc is the temperature of cold reservoir and Th is the temperature of cold reservoir. For a refrigerator hot reservoir is the environment. The difference cannot exceed a particular limit. Temperature difference will be finite always. This causes efficiency to remain in a finite value.

Conclusion:

Therefore, according to second law of thermodynamics the coefficient of performance of a refrigerator must be finite. Thus, option (d) is correct.

Since coefficient of performance of refrigerator can be greater than 1, option (a) is incorrect.

Since coefficient of performance of refrigerator can be greater than 1, option (b) is incorrect.

Since coefficient of performance of refrigerator can be greater than or less than 1, option (c) is correct.

Since coefficient of performance of refrigerator can be zero, option (e) is incorrect.

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Answer 5

Chapter 22, Problem 1OQ

To determine

The coefficient of performance of refrigerator from second law of thermodynamics.

Expert Solution & Answer

Answer to Problem 1OQ

Option (d), finite.

Explanation of Solution

Second law of thermodynamics states that external work is necessary to pump heat from lower temperature to higher temperature. A refrigerator takes energy from cold reservoir and expels at hot reservoir. Refrigerator has to do work to convert heat from cold reservoir to hot reservoir. Coefficient of performance is the ratio of heat extracted from cold reservoir to work done on the refrigerant.

The maximum efficiency of a refrigerator is possible if it is working in Carnot cycle. The expression for efficiency is TcTh−Tc, where Tc is the temperature of cold reservoir and Th is the temperature of cold reservoir. For a refrigerator hot reservoir is the environment. The difference cannot exceed a particular limit. Temperature difference will be finite always. This causes efficiency to remain in a finite value.

Conclusion:

Therefore, according to second law of thermodynamics the coefficient of performance of a refrigerator must be finite. Thus, option (d) is correct.

Since coefficient of performance of refrigerator can be greater than 1, option (a) is incorrect.

Since coefficient of performance of refrigerator can be greater than 1, option (b) is incorrect.

Since coefficient of performance of refrigerator can be greater than or less than 1, option (c) is correct.

Since coefficient of performance of refrigerator can be zero, option (e) is incorrect.

Answer 6

Chapter 22, Problem 1OQ

To determine

The coefficient of performance of refrigerator from second law of thermodynamics.

Expert Solution & Answer

Answer to Problem 1OQ

Option (d), finite.

Explanation of Solution

Second law of thermodynamics states that external work is necessary to pump heat from lower temperature to higher temperature. A refrigerator takes energy from cold reservoir and expels at hot reservoir. Refrigerator has to do work to convert heat from cold reservoir to hot reservoir. Coefficient of performance is the ratio of heat extracted from cold reservoir to work done on the refrigerant.

The maximum efficiency of a refrigerator is possible if it is working in Carnot cycle. The expression for efficiency is TcTh−Tc, where Tc is the temperature of cold reservoir and Th is the temperature of cold reservoir. For a refrigerator hot reservoir is the environment. The difference cannot exceed a particular limit. Temperature difference will be finite always. This causes efficiency to remain in a finite value.

Conclusion:

Therefore, according to second law of thermodynamics the coefficient of performance of a refrigerator must be finite. Thus, option (d) is correct.

Since coefficient of performance of refrigerator can be greater than 1, option (a) is incorrect.

Since coefficient of performance of refrigerator can be greater than 1, option (b) is incorrect.

Since coefficient of performance of refrigerator can be greater than or less than 1, option (c) is correct.

Since coefficient of performance of refrigerator can be zero, option (e) is incorrect.

Answer 7

Chapter 22, Problem 1OQ

To determine

The coefficient of performance of refrigerator from second law of thermodynamics.

Answer 8

Expert Solution & Answer

Answer to Problem 1OQ

Option (d), finite.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

Second law of thermodynamics states that external work is necessary to pump heat from lower temperature to higher temperature. A refrigerator takes energy from cold reservoir and expels at hot reservoir. Refrigerator has to do work to convert heat from cold reservoir to hot reservoir. Coefficient of performance is the ratio of heat extracted from cold reservoir to work done on the refrigerant.

The maximum efficiency of a refrigerator is possible if it is working in Carnot cycle. The expression for efficiency is TcTh−Tc, where Tc is the temperature of cold reservoir and Th is the temperature of cold reservoir. For a refrigerator hot reservoir is the environment. The difference cannot exceed a particular limit. Temperature difference will be finite always. This causes efficiency to remain in a finite value.

Conclusion:

Therefore, according to second law of thermodynamics the coefficient of performance of a refrigerator must be finite. Thus, option (d) is correct.

Since coefficient of performance of refrigerator can be greater than 1, option (a) is incorrect.

Since coefficient of performance of refrigerator can be greater than 1, option (b) is incorrect.

Since coefficient of performance of refrigerator can be greater than or less than 1, option (c) is correct.

Since coefficient of performance of refrigerator can be zero, option (e) is incorrect.

Answer 12

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The coefficient of performance of refrigerator from second law of thermodynamics .

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The coefficient of performance of refrigerator from second law of thermodynamics.

Answer to Problem 1OQ

Explanation of Solution

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Chapter 22 Solutions