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A refrigeration machine working on reversed carnot cycle takes out 2kw per minute of heat from the system while working between the temperature limits of 300k and 200k.?
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A refrigeration machine working on reversed carnot cycle takes out 2kw...
Introduction
The refrigeration machine operating on a reversed Carnot cycle is an idealized system that efficiently transfers heat from a cooler reservoir to a warmer one. This system follows the principles of thermodynamics, particularly the second law, where work is input to achieve cooling.
Heat Extraction
- The machine extracts 2 kW of heat per minute from the system.
- This translates to a total heat removal of 120 kJ per minute (since 1 kW = 1 kJ/s).
Temperature Limits
- The refrigeration cycle operates between two temperature reservoirs:
- High Temperature (TH) = 300 K
- Low Temperature (TL) = 200 K
Coefficient of Performance (COP)
- The efficiency of a refrigeration cycle is measured by the Coefficient of Performance (COP).
- For a reversed Carnot cycle, COP is given by the formula:
COP = TL / (TH - TL)
- Substituting the values:
COP = 200 / (300 - 200) = 2
Work Input
- Work input (W) to the refrigeration machine can be calculated using the relationship:
W = QL / COP
- Here, QL is the heat extracted (120 kJ per minute).
- Thus, W = 120 kJ / 2 = 60 kJ per minute.
Conclusion
The refrigeration machine effectively operates between the set temperature limits, utilizing work input to maintain the cooling effect. The reversed Carnot cycle serves as a benchmark for understanding refrigeration efficiency and performance in practical applications.
The refrigeration machine operating on a reversed Carnot cycle is an idealized system that efficiently transfers heat from a cooler reservoir to a warmer one. This system follows the principles of thermodynamics, particularly the second law, where work is input to achieve cooling.
Heat Extraction
- The machine extracts 2 kW of heat per minute from the system.
- This translates to a total heat removal of 120 kJ per minute (since 1 kW = 1 kJ/s).
Temperature Limits
- The refrigeration cycle operates between two temperature reservoirs:
- High Temperature (TH) = 300 K
- Low Temperature (TL) = 200 K
Coefficient of Performance (COP)
- The efficiency of a refrigeration cycle is measured by the Coefficient of Performance (COP).
- For a reversed Carnot cycle, COP is given by the formula:
COP = TL / (TH - TL)
- Substituting the values:
COP = 200 / (300 - 200) = 2
Work Input
- Work input (W) to the refrigeration machine can be calculated using the relationship:
W = QL / COP
- Here, QL is the heat extracted (120 kJ per minute).
- Thus, W = 120 kJ / 2 = 60 kJ per minute.
Conclusion
The refrigeration machine effectively operates between the set temperature limits, utilizing work input to maintain the cooling effect. The reversed Carnot cycle serves as a benchmark for understanding refrigeration efficiency and performance in practical applications.
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A refrigeration machine working on reversed carnot cycle takes out 2kw per minute of heat from the system while working between the temperature limits of 300k and 200k.?
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A refrigeration machine working on reversed carnot cycle takes out 2kw per minute of heat from the system while working between the temperature limits of 300k and 200k.? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A refrigeration machine working on reversed carnot cycle takes out 2kw per minute of heat from the system while working between the temperature limits of 300k and 200k.? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A refrigeration machine working on reversed carnot cycle takes out 2kw per minute of heat from the system while working between the temperature limits of 300k and 200k.?.
A refrigeration machine working on reversed carnot cycle takes out 2kw per minute of heat from the system while working between the temperature limits of 300k and 200k.? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A refrigeration machine working on reversed carnot cycle takes out 2kw per minute of heat from the system while working between the temperature limits of 300k and 200k.? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A refrigeration machine working on reversed carnot cycle takes out 2kw per minute of heat from the system while working between the temperature limits of 300k and 200k.?.
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