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Vapour is injected at a uniform rate in a closed vessel which was initially evacuated. The pressure in the vessel
- a)Increases continuously
- b)Decreases continuously
- c)First increases and then decreases
- d)First increase and then becomes constant
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Vapour is injected at a uniform rate in a closed vessel which was init...
The correct answer is d.
Initially, vapour is injected at a uniform rate, the pressure inside the vessel first increases. When, the pressure inside the vessel become equal to the saturation vapour pressure, it condenses. So, if more vapour is injected in the vessel beyond the saturation vapour pressure, the vapour will condense and the vapour pressure inside the vessel will remains constant.
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Vapour is injected at a uniform rate in a closed vessel which was init...
Understanding Vapour Injection in a Closed Vessel
When vapour is injected into an initially evacuated closed vessel, the pressure behavior can be analyzed based on the physical processes involved.
Initial Conditions
- The vessel starts with zero pressure (vacuum).
- Vapour is injected uniformly over time.
Pressure Increase Phase
- As vapour is injected, molecules begin to fill the vessel.
- The collisions of vapour molecules with the vessel walls lead to an increase in pressure.
- This phase continues until the vapour reaches a certain concentration.
Equilibrium Phase
- After reaching a specific concentration, the system may reach a saturation point where the rate of injection equals the rate of condensation (if applicable).
- At this point, the pressure stabilizes and becomes constant.
Why Option 'C' is Correct
- Initially, pressure increases as more vapour enters the vessel.
- Once the saturation point is reached, the pressure does not decrease but rather stabilizes, leading to a scenario where pressure first increases and then becomes constant.
Conclusion
- The correct answer is option 'C': "First increases and then becomes constant."
- This behavior is typical in closed systems where vapour is injected until equilibrium is achieved.
This understanding is crucial in thermodynamics and fluid mechanics, particularly for JEE aspirants analyzing gas behavior in closed systems.
When vapour is injected into an initially evacuated closed vessel, the pressure behavior can be analyzed based on the physical processes involved.
Initial Conditions
- The vessel starts with zero pressure (vacuum).
- Vapour is injected uniformly over time.
Pressure Increase Phase
- As vapour is injected, molecules begin to fill the vessel.
- The collisions of vapour molecules with the vessel walls lead to an increase in pressure.
- This phase continues until the vapour reaches a certain concentration.
Equilibrium Phase
- After reaching a specific concentration, the system may reach a saturation point where the rate of injection equals the rate of condensation (if applicable).
- At this point, the pressure stabilizes and becomes constant.
Why Option 'C' is Correct
- Initially, pressure increases as more vapour enters the vessel.
- Once the saturation point is reached, the pressure does not decrease but rather stabilizes, leading to a scenario where pressure first increases and then becomes constant.
Conclusion
- The correct answer is option 'C': "First increases and then becomes constant."
- This behavior is typical in closed systems where vapour is injected until equilibrium is achieved.
This understanding is crucial in thermodynamics and fluid mechanics, particularly for JEE aspirants analyzing gas behavior in closed systems.
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Vapour is injected at a uniform rate in a closed vessel which was initially evacuated. The pressure in the vessela)Increases continuouslyb)Decreases continuouslyc)First increases and then decreasesd)First increase and then becomes constantCorrect answer is option 'C'. Can you explain this answer?
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