Thermodynamics of compression: what happens when a saturated vapor is compressed at constant temperature or adiabatically near saturation?
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AIt condenses.
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BIt forms wet steam (a two-phase mixture).
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CBoth (a) and (b).
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DNeither (a) nor (b).
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EIt becomes superheated at once.
Answer
Correct Answer: Both (a) and (b).
Explanation
Introduction / Context:A saturated vapor lies on the phase boundary between single-phase vapor and two-phase liquid–vapor. Understanding its response to compression is vital in steam systems, refrigeration, and phase-equilibrium calculations. The correct qualitative outcome distinguishes design-safe assumptions from incorrect ones that can damage equipment.
Given Data / Assumptions:
- Start at saturation (vapor quality = 1.0, no liquid present).
- Compression increases pressure.
- Temperature path may be isothermal (at saturation T) or near-adiabatic but remaining within two-phase region initially.
Concept / Approach:At saturation, any compression without adding heat to superheat will move the state into the two-phase region on a P–v or T–s diagram. The vapor begins condensing, yielding a mixture of liquid and vapor—often referred to as “wet steam.” Therefore, both “it condenses” and “it forms wet steam” describe the same physical outcome of entering the two-phase envelope.
Step-by-Step Solution:
Consider the saturation dome: the saturated-vapor line bounds the two-phase region.Increase pressure at (or near) the saturation temperature: the state crosses into the two-phase region.Liquid droplets form: the vapor condenses partially, producing wet steam.Conclusion: outcomes (a) and (b) both happen; choose “Both (a) and (b).”Verification / Alternative check:Steam tables show that at a given saturation temperature, higher pressure corresponds to a saturated liquid state; compression at constant T thus necessitates condensation.
Why Other Options Are Wrong:
- (d) Incorrect: condensation and wetness are expected.
- (e) Incorrect: superheating requires raising temperature above saturation, not mere compression at saturation.
Common Pitfalls:Assuming all compression heats the gas enough to superheat; near saturation, compression pushes the vapor into the two-phase region unless heat is also added to maintain superheat.
Final Answer:Both (a) and (b).