Pressure variation for compressible fluid is maximum for which kind of process?

The correct answer is option 'A' - Isothermal.

Explanation:

1. Introduction:
- When a fluid is compressed, its pressure increases.
- The amount of pressure variation depends on the type of process through which the compression occurs.
- In the case of compressible fluids, such as gases, the pressure variation can be different for different types of processes.
- This question asks which kind of process results in the maximum pressure variation for a compressible fluid.

2. Isothermal Process:
- An isothermal process is a process in which the temperature of the system remains constant throughout the process.
- In an isothermal process, the pressure and volume of the gas are inversely proportional to each other, according to Boyle's Law.
- When a compressible fluid undergoes an isothermal compression, the volume decreases, leading to an increase in pressure.
- Since the temperature remains constant, the pressure variation solely depends on the change in volume.
- As the volume decreases, the pressure increases, resulting in the maximum pressure variation for an isothermal process.

3. Adiabatic Process:
- An adiabatic process is a process in which there is no exchange of heat between the system and its surroundings.
- In an adiabatic process, the pressure and volume of the gas are related by the adiabatic equation: PV^γ = constant, where γ is the heat capacity ratio of the gas.
- In an adiabatic compression, both the pressure and temperature of the gas increase simultaneously.
- However, the pressure variation in an adiabatic process is not as significant as in an isothermal process, as the temperature also changes.

4. Quasi-Static Process:
- A quasi-static process is a process that occurs in an infinitely slow manner, allowing the system to remain in equilibrium at every stage.
- While a quasi-static process can be either isothermal or adiabatic, the question specifically asks about the maximum pressure variation.
- In a quasi-static process, the pressure variation is not necessarily maximum, as it depends on the specific conditions of the process.

5. Conclusion:
- Among the given options, the correct answer is option 'A' - Isothermal.
- In an isothermal process, the pressure variation for a compressible fluid is maximum because the pressure solely depends on the change in volume, while the temperature remains constant.