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Assertion (A ): T he isothermal efficiency of a reciprocating compressor becomes 100% if perfect cooling of the fluid during compression is attained.
Reason (R): Wor k do ne in a reciprocating compressor is less if the process of compression is isothermal rather than polytropic. 
  • a)
    Both A and R are individually true and R is the correct explanation of A  
  • b)
    Both A and R are individually true but R is not the correct explanation of A  
  • c)
    A is true but R is false  
  • d)
    A is false but R is true 
Correct answer is option 'A'. Can you explain this answer?
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Assertion (A ): T he isothermal efficiency of a reciprocating compress...
Both assertion and reason are correct and R provides correct explanation for A.  
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Assertion (A ): T he isothermal efficiency of a reciprocating compress...
Assertion (A): The isothermal efficiency of a reciprocating compressor becomes 100% if perfect cooling of the fluid during compression is attained.

Reason (R): Work done in a reciprocating compressor is less if the process of compression is isothermal rather than polytropic.

To understand the given assertion and reason, let's discuss the concepts of isothermal efficiency and work done in a reciprocating compressor.

Isothermal Efficiency:
Isothermal efficiency is defined as the ratio of the work done on the fluid during compression to the ideal work done on the fluid during isothermal compression. It is represented by the symbol ηiso.

Isothermal efficiency can be calculated using the formula:
ηiso = (Ideal work done)/(Work done on the fluid during actual compression)

Work Done in a Reciprocating Compressor:
The work done in a reciprocating compressor is the energy required to compress the fluid from the initial state to the final state. It can be calculated using the formula:
Work = PdV

Where:
P is the pressure of the fluid
dV is the change in volume of the fluid

Now, let's analyze the given assertion and reason:

Assertion (A): The isothermal efficiency of a reciprocating compressor becomes 100% if perfect cooling of the fluid during compression is attained.

This assertion is true. When the fluid is perfectly cooled during compression, the process becomes isothermal. In an isothermal process, the temperature remains constant, resulting in a decrease in the work done on the fluid. As a result, the ideal work done during isothermal compression becomes equal to the work done on the fluid during actual compression. Therefore, the isothermal efficiency becomes 100%.

Reason (R): Work done in a reciprocating compressor is less if the process of compression is isothermal rather than polytropic.

This reason is also true. In a polytropic process, the work done on the fluid is more compared to an isothermal process. This is because in a polytropic process, the temperature and pressure change, resulting in a higher work requirement. In contrast, an isothermal process maintains a constant temperature, resulting in lower work requirements. Therefore, the work done in a reciprocating compressor is less if the process of compression is isothermal rather than polytropic.

Conclusion:

Both the assertion and reason are individually true, and the reason correctly explains the assertion. Therefore, option 'A' is the correct answer.
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Assertion (A ): T he isothermal efficiency of a reciprocating compressor becomes 100% if perfect cooling of the fluid during compression is attained.Reason (R): Wor k do ne in a reciprocating compressor is less if the process of compression is isothermal rather than polytropic.a)Both A and R are individually true and R is the correct explanation of A b)Both A and R are individually true but R is not the correct explanation of A c)A is true but R is false d)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer?
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Assertion (A ): T he isothermal efficiency of a reciprocating compressor becomes 100% if perfect cooling of the fluid during compression is attained.Reason (R): Wor k do ne in a reciprocating compressor is less if the process of compression is isothermal rather than polytropic.a)Both A and R are individually true and R is the correct explanation of A b)Both A and R are individually true but R is not the correct explanation of A c)A is true but R is false d)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer? 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 Assertion (A ): T he isothermal efficiency of a reciprocating compressor becomes 100% if perfect cooling of the fluid during compression is attained.Reason (R): Wor k do ne in a reciprocating compressor is less if the process of compression is isothermal rather than polytropic.a)Both A and R are individually true and R is the correct explanation of A b)Both A and R are individually true but R is not the correct explanation of A c)A is true but R is false d)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assertion (A ): T he isothermal efficiency of a reciprocating compressor becomes 100% if perfect cooling of the fluid during compression is attained.Reason (R): Wor k do ne in a reciprocating compressor is less if the process of compression is isothermal rather than polytropic.a)Both A and R are individually true and R is the correct explanation of A b)Both A and R are individually true but R is not the correct explanation of A c)A is true but R is false d)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer?.
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