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Consider the following statements:The volumetric efficiency of a compressor depends upon
1. Clearance volume
2. Pressure ratio  
3. Index of expansion 
Of these correct statements are:  
  • a)
    1 and 2  
  • b)
    1 and 3  
  • c)
    2 and 3  
  • d)
    1, 2, and 3 
Correct answer is option 'D'. Can you explain this answer?
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Consider the following statements:The volumetric efficiency of a compr...
The volumetric efficiency of a compressor depends upon
1. Clearance volume
2. Pressure ratio
3. Index of expansion 
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Consider the following statements:The volumetric efficiency of a compr...
The Volumetric Efficiency of a Compressor

The volumetric efficiency of a compressor refers to the ratio of actual volume of gas compressed to the theoretical volume that the compressor should be able to compress. It is an important parameter that determines the performance of a compressor.

Factors Affecting Volumetric Efficiency

There are several factors that affect the volumetric efficiency of a compressor. Among them, the following three factors are considered:

1. Clearance volume: The clearance volume is the volume of the compression chamber that remains at the end of the compression stroke. It is the space between the piston or rotor and the cylinder head when the compression chamber is at its smallest volume. A large clearance volume reduces the volumetric efficiency because it decreases the amount of gas that can be compressed in each stroke. As a result, the actual volume of gas compressed is less than the theoretical volume.

2. Pressure ratio: The pressure ratio is the ratio of the discharge pressure to the suction pressure. It represents the amount of compression that the compressor is able to achieve. A higher pressure ratio indicates a greater compression, which improves the volumetric efficiency. This is because a higher pressure ratio allows the compressor to compress more gas into a given volume, increasing the actual volume of gas compressed.

3. Index of expansion: The index of expansion is a parameter that represents the relationship between the specific heat capacities of the gas during compression and expansion. It is denoted by the symbol 'γ' (gamma) and is given by the ratio of specific heat at constant pressure to specific heat at constant volume. A higher index of expansion indicates a greater ability of the gas to expand during the expansion stroke, which reduces the volumetric efficiency. This is because a larger expansion causes a decrease in the amount of gas that can be compressed in each stroke.

Conclusion

In summary, the volumetric efficiency of a compressor depends on the clearance volume, pressure ratio, and index of expansion. A smaller clearance volume, higher pressure ratio, and lower index of expansion result in a higher volumetric efficiency. Therefore, the correct statements regarding the factors affecting the volumetric efficiency of a compressor are 1, 2, and 3.
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Consider the following statements:The volumetric efficiency of a compressor depends upon1. Clearance volume2. Pressure ratio 3. Index of expansionOf these correct statements are: a)1 and 2 b)1 and 3 c)2 and 3 d)1, 2, and 3Correct answer is option 'D'. Can you explain this answer?
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