Assertion (A ): T he isothermal efficiency of a reciprocating compress...
Both assertion and reason are correct and R provides correct explanation for A.
View all questions of this test
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.
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.