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An ideal air compressor cycle (with clearance) on p-v diagram can be represented by ________ processes.
- a)One adiabatic, two isobaric, and one constant volume
- b)Two adiabatic and two isobaric
- c)Two adiabatic, one isobaric, and one constant volume
- d)One adiabatic, one isobaric, and two constant volume
Correct answer is option 'B'. Can you explain this answer?
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An ideal air compressor cycle (with clearance) on p-v diagram can be r...
In practical design of compressors, some clearance is required between the cylinder and piston to prevent hitting of piston to crown of the cylinder. A compressor cycle with clearance is consists of two adiabatic processes and two isobaric processes.
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An ideal air compressor cycle (with clearance) on p-v diagram can be r...
An ideal air compressor cycle (with clearance) on a p-v diagram can be represented by two adiabatic and two isobaric processes.
Explanation:
The p-v diagram is a graphical representation of the pressure-volume relationship in a thermodynamic system. It helps us understand the different processes involved in a cycle.
Adiabatic Process:
An adiabatic process is one in which there is no heat transfer between the system and its surroundings. In an air compressor cycle, the compression of the air is typically an adiabatic process. This means that the compressor does not exchange heat with its surroundings during the compression of the air.
Isobaric Process:
An isobaric process is one in which the pressure of the system remains constant. In an air compressor cycle, the intake and exhaust of the air are typically isobaric processes. This means that the pressure of the air remains constant during these processes.
Constant Volume Process:
A constant volume process is one in which the volume of the system remains constant. In an air compressor cycle, there is typically a clearance volume, which is the space between the piston and the cylinder head when the piston is at its top dead center position. The clearance volume is a fixed volume, and any process that occurs within this volume can be considered a constant volume process.
Representation on p-v diagram:
Based on the above explanation, we can represent an ideal air compressor cycle on a p-v diagram as follows:
1. Process 1-2 (Adiabatic Compression): The air is compressed adiabatically from point 1 to point 2. This process is represented by a downward sloping line on the p-v diagram.
2. Process 2-3 (Isobaric Intake): The compressed air is taken in at constant pressure from point 2 to point 3. This process is represented by a horizontal line on the p-v diagram.
3. Process 3-4 (Adiabatic Compression): The air is further compressed adiabatically from point 3 to point 4. This process is represented by a downward sloping line on the p-v diagram.
4. Process 4-1 (Isobaric Exhaust): The compressed air is exhausted at constant pressure from point 4 to point 1. This process is represented by a horizontal line on the p-v diagram.
Therefore, an ideal air compressor cycle on a p-v diagram can be represented by two adiabatic and two isobaric processes, which is option B.
Explanation:
The p-v diagram is a graphical representation of the pressure-volume relationship in a thermodynamic system. It helps us understand the different processes involved in a cycle.
Adiabatic Process:
An adiabatic process is one in which there is no heat transfer between the system and its surroundings. In an air compressor cycle, the compression of the air is typically an adiabatic process. This means that the compressor does not exchange heat with its surroundings during the compression of the air.
Isobaric Process:
An isobaric process is one in which the pressure of the system remains constant. In an air compressor cycle, the intake and exhaust of the air are typically isobaric processes. This means that the pressure of the air remains constant during these processes.
Constant Volume Process:
A constant volume process is one in which the volume of the system remains constant. In an air compressor cycle, there is typically a clearance volume, which is the space between the piston and the cylinder head when the piston is at its top dead center position. The clearance volume is a fixed volume, and any process that occurs within this volume can be considered a constant volume process.
Representation on p-v diagram:
Based on the above explanation, we can represent an ideal air compressor cycle on a p-v diagram as follows:
1. Process 1-2 (Adiabatic Compression): The air is compressed adiabatically from point 1 to point 2. This process is represented by a downward sloping line on the p-v diagram.
2. Process 2-3 (Isobaric Intake): The compressed air is taken in at constant pressure from point 2 to point 3. This process is represented by a horizontal line on the p-v diagram.
3. Process 3-4 (Adiabatic Compression): The air is further compressed adiabatically from point 3 to point 4. This process is represented by a downward sloping line on the p-v diagram.
4. Process 4-1 (Isobaric Exhaust): The compressed air is exhausted at constant pressure from point 4 to point 1. This process is represented by a horizontal line on the p-v diagram.
Therefore, an ideal air compressor cycle on a p-v diagram can be represented by two adiabatic and two isobaric processes, which is option B.
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An ideal air compressor cycle (with clearance) on p-v diagram can be represented by ________ processes.a)One adiabatic, two isobaric, and one constant volumeb)Two adiabatic and two isobaricc)Two adiabatic, one isobaric, and one constant volumed)One adiabatic, one isobaric, and two constant volumeCorrect answer is option 'B'. Can you explain this answer?
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